Jay@ManhattanReview posted a reply to If x, y, and z are three-digit positive integers and if x = in the Data Sufficiency forum
“Say, x = abc; y = def; z = ghi We are given hat x = y + z. Thus, abc = def + ghi We have to determine whether a = d + g. This is true if there is no carryover from the tens digits'' sum, or e + h ≤ 9. (1) The tens digit of x is equal to the sum of the tens digits of y and z. e ...”
Today
Jay@ManhattanReview posted a reply to In the figure above, if x and y are each less than 90 and PS in the Data Sufficiency forum
“Given: 1. PS is parallel to QR; 2. xº < 90º and yº < 90º We have to determine whether PQ < SR. Let''s take each statement one by one. (1) x > y Since 0 < x < 90 and 0 < y < 90, and x > y, we can vizualize that SR will be flatter than PQ, thus, PQ ...”
Today
Jay@ManhattanReview posted a reply to If two integers are chosen at random out of the set {2, 5, 7 in the Problem Solving forum
“Number of ways, we can choose 2 integers out of 4 = 4C2 = 4.3/1.2 = 6 In the following for ways, the chosen two integers can be written in a^2 – b^2 form. (a). 2 x 8 = 16 = 5^2 – 3^2; (b). 5 x 8 = 40 = 7^2 – 3^2; (c). 5 x 7 = 35 = 6^2 – 3^2; (d). 7 x 8 = 56 = 9^2 – 5^2 Thus, ...”
Today
Jay@ManhattanReview posted a reply to The figure shown represents a board with 4 rows of pegs, and in the Problem Solving forum
“So, there are three ways by which the ball can go in Cell 2. If the ball goes... 1. Left --> Left --> Right; probability = 1/2*1/2*1/2 = 1/8; 2. Left --> Right --> Right; probability = 1/2*1/2*1/2 = 1/8; 3. Right --> Left --> Left; probability = 1/2*1/2*1/2 = 1/8 Total ...”
Today
Jay@ManhattanReview posted a reply to One-sixth of the attendees at a certain convention are femal in the Problem Solving forum
“Already replied two days back... https://www.beatthegmat.com/one-sixth-of-the-attendees-at-a-certain-convention-are-t306503.html#827021 Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes San Diego | GMAT Tutoring Atlanta | GRE Prep Jacksonville | ...”
Yesterday
Jay@ManhattanReview posted a reply to Mr. Smith purchases books from the bargain bin. He buys only in the Data Sufficiency forum
“Say the number of $1, $2, and $7 books are x, y, and z, respectively. We have to get the value of z. Let''s take each statement one by one. (1) Mr. Smith spends $24 on bargain books. => x + 2y + 7z = 24 Can''t get the unique value of z. z can be 1, 2 or 3. No unique value. ...”
Yesterday
Jay@ManhattanReview posted a reply to How many apples are there in the box? in the Data Sufficiency forum
“Average (arithmetic mean) weight of the apples = (Total weight of the apples) / (Number of apples) Number of apples = (Total weight of the apples) / (Average (arithmetic mean) weight of the apples) = 200/8 = 25. Sufficient. The correct answer: C Hope this helps! -Jay ...”
Yesterday
Jay@ManhattanReview posted a reply to In a class of 30 students, Emma secured the third rank among in the Data Sufficiency forum
“Refer to the images given below, which are self-explanatory. https://i.postimg.cc/PPp0vFXt/Tab1.png https://i.postimg.cc/bD53zp21/Tab2.png The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes San Diego | GMAT Tutoring ...”
Yesterday
Jay@ManhattanReview posted a reply to Jason can stack two shelves in 3 hours and Maria can stack in the Problem Solving forum
“Given that Jason can stack two shelves in 3 hours, he can stack 13 stacks in 3/2*13 = 39/2 hours and Maria can stack three shelves in 2 hours, she can stack 13 stacks in 2/3*13 = 26/3 hours Working together they together stack 13 shelves in reciprocal of B Hope this helps! -Jay ...”
February 18, 2019
Jay@ManhattanReview posted a reply to If y is 80% greater than x, than x is what % less than y? ( in the Problem Solving forum
“Say x = 100; thus, y = 100 + 80% of 100 = 100 + 80 = 80 Thus, x (= 100) is 80 less than y (= 180). Required percent = (80/180)*100% = 44 4/9% The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Atlanta | GMAT Tutoring ...”
February 18, 2019
Jay@ManhattanReview posted a reply to One-sixth of the attendees at a certain convention are in the Problem Solving forum
“See the image below, which is self-explanatory. https://i.postimg.cc/NK2KbhBL/Students.png The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Atlanta | GMAT Tutoring Philadelphia | GRE Prep Denver | TOEFL Prep Classes San ...”
February 18, 2019
Jay@ManhattanReview posted a reply to John has to hammer 100 railroad spikes for a new line his co in the Problem Solving forum
“Given that John can hammer 8 spikes per hour, time needed to hammer 100 spikes, working alone = 100/8 = 25/2 hours. Since John alone hammered half the number of spikes (100/2 = 50), the number of hours John worked alone = 1/2 of 25/2 = 25/4 hours Now John''s coworker Paul also joined him and ...”
February 18, 2019
Jay@ManhattanReview posted a reply to In 2001, John invests x dollars in a special account that yi in the Problem Solving forum
“Given that the sum $x amounted to $250 in 2006 and to $270 in 2008, we can deduce that the simple interest on $x for 2 years = 270 – 250 = $20 Thus, 20 = x*y*2/100 => xy = 1,000 Again, since the sum $x invested in 2001 amounted to $250 in 2006, SI for 5 years is $(250 – x). Thus, 250 ...”
February 18, 2019
Jay@ManhattanReview posted a reply to The inside of a rectangular carton is 48 centimeters long, 3 in the Data Sufficiency forum
“Let''s take each statement one by one. (1) Each of the cans has a radius of 4 centimeters. Thus, the diameter of each can = 8 cm and 48/8 = 6 cans can fit in a row; similarly, 32/8 = 4 cans can fit in a column. Thus, k = 6*4 = 24. Sufficient. (2) Six of the cans fit exactly along the ...”
February 16, 2019
Jay@ManhattanReview posted a reply to Derek's cell phone bill shows total minutes used for each of in the Data Sufficiency forum
“Given: Derek''s cell phone bill shows total minutes used for each of two categories: peak minutes and off-peak minutes. Derek used a total of 75 minutes last month. We have to determine the number of off-peak minutes he used. Let''s take each statement one by one. 1) Derek used twice as ...”
February 15, 2019
Jay@ManhattanReview posted a reply to Set S consists of all the positive multiples of 5 that are l in the Data Sufficiency forum
“Given: 1. Set S consists of all the positive multiples of 5 such that they are less than K, and K is a positive integer not divisible by 5. For example say, K = 21, then set S:{ 5, 10, 15, 20}; however, if say K = 52, then set S:{ 5, 10, 15, 20, 25, 30, 35, 40, 45, 50} 2. The mean of Set S ...”
February 15, 2019
Jay@ManhattanReview posted a reply to A certain military vehicle can run on pure Fuel X, pure Fuel in the Data Sufficiency forum
“Say there be x gallons of fuel X, and y gallons of fuel Y in the tank. Cost per gallon = (3x + 5y)/(x + y) We have to get the value of (3x + 5y)/(x + y). Let''s take each statement one by one. (1) Using fuel currently in its tank, the vehicle burned 8 gallons to cover 200 miles. => ...”
February 15, 2019
Jay@ManhattanReview posted a reply to For how many integer values of m is x < m < y ? (1) x in the Data Sufficiency forum
“Given: x < m < y We have to determine how many integer values of m exist. Let''s take each statement one by one. (1) x and y are positive integers. Certainly insufficient. (2) y – x = 6 Case 1: Say y = 10.5 and x = 4.5, then m = {10, 9, 8, 7, 6, 5, 4}; there are a total of ...”
February 14, 2019
Jay@ManhattanReview posted a reply to Is \(a^3 + b^2 + 4\) divisible by 6? in the Data Sufficiency forum
“For a^3 + b^2 + 4 to be divisible by 6, it must be divisible by 2 as well as 3. Thus, a^3 + b^2 + 4 must be even. Let''s take each statement one by one. (I) b is odd If a is even, then a^3 is even and b^2 is odd; thus, a^3 + b^2 + 4 is odd. The answer is no. If a is odd, say a = b = 1, ...”
February 13, 2019
Jay@ManhattanReview posted a reply to In a certain senior class, 72 percent of the male students in the Data Sufficiency forum
“Say there are x numbers of male and y numbers of female students. Thus, we have # of students who have students have applied to college = 72% of x + 80% of y = 0.72x + 0.80y We have to get the value of x/(x + y). Let''s take each statement one by one. 1) There are 840 students in the ...”
February 13, 2019
Jay@ManhattanReview posted a reply to If a, b, c, d are 4 non-negative integers. Is (a+c) even? in the Data Sufficiency forum
“Given: a, b, c, d are 4 non-negative integers. We have to determine whether (a + c) is even. Let''s take each statement one by one. (1) a^2 + b^2 + c^2 is even. Case 1: Say a = 0; b = c = 1, then we have a^2 + b^2 + c^2 = 0^2 + 1^2 + 1^2 = 2, an even number. However, a + c = 0 + 1 = 1, ...”
February 13, 2019
Jay@ManhattanReview posted a reply to Square ABCD has an area of 9 square inches. Sides AD and BC in the Data Sufficiency forum
“Given that the square ABCD has an area of 9 square inches, we have AD = BC = 3 inches. Thus, the increased length of AD and BC is AD'' and BC'' = (3 + x) inches. We have to determine the value of x. Let''s take each statement one by one. (1) The diagonal of the resulting rectangle measures ...”
February 12, 2019
Jay@ManhattanReview posted a reply to The table above shows the morning schedule for train X. in the Data Sufficiency forum
“Let''s take each statement one by one. 1) Juan arrived at station T on Monday morning 1 hour and 2 minutes after he left station S. Case 1: If John started from station S at 7:08, he arrived at station T at 8:10, scheduled time. The answer is yes. Case 2: If John started late from station S ...”
February 12, 2019
Jay@ManhattanReview posted a reply to If n is a positive integer and r is the remainder when (n-1) in the Data Sufficiency forum
“We have to determine whether (n – 1)(n + 1) is divided by 24. Let''s take each statement one by one. 1) n is not divisible by 2. => n is an odd number. Thus, (n – 1) and (n + 1) are even. Note that at least one between (n – 1) and (n + 1) must be divisible by 4, thus, (n – 1)*(n ...”
February 12, 2019
Jay@ManhattanReview posted a reply to The figure above shows the railway tracks between three in the Problem Solving forum
“Route of the train from A to B: ACB = AC + CB = 240 + √(100^2 + 240^2) = 240 + 260 = 500 km Route of the train from A to B: BCA = ACB = BC + CA = 500 km Since from the scheduled time of their departure, 9 am, the train from A starts 1/2 an hour early (8:30 am) and train B starts 1/2 and later ...”
February 10, 2019
Jay@ManhattanReview posted a reply to In the xy coordinate plane, line L and line K intersect at in the Data Sufficiency forum
“Say the equations of line L and K are y = m1*x + c1; eqn of line L; y = m2*x + c2; eqn of line K Here, m1 and m2 are slopes of line L and line K; and c1 and c2 are y-intercepts of line L and line K. We have to determine whether m1*m2 < 0. Let''s take each statement one by one. 1) ...”
February 8, 2019
Jay@ManhattanReview posted a reply to At a farmers market, a florist sells only roses, and in the Data Sufficiency forum
“Say he sold x numbers of individual roses and y numbers of bouquets of one dozen roses. Thus, the total number of roses sold = x + 12y. Given: Total sales = 2x + 19y We have to get the value of x + 12y. Let''s take each statement one by one. 1) The florist made $190. 2x + 19y = ...”
February 7, 2019
Jay@ManhattanReview posted a reply to A box contains red and blue balls only. If there are 8 balls in the Data Sufficiency forum
“We have to determine the number of red balls. Say the number of red balls is r; thus, the number of blue balls = 8 – r. Let''s take each statement one by one. (1) If two balls are randomly selected without replacement, the probability that both balls are red is 5/14 => rC2 / 8C2 = ...”
February 7, 2019
Jay@ManhattanReview posted a reply to Samantha investes i1 dollars in bond X, which pays r1 in the Data Sufficiency forum
“Simple interest earned on the first investment = i1*r1*1/100 =i1*r1/100; Simple interest earned on the second investment = i2*r2*1/100 =i2*r2/100; We have to determine whether i1*r1/100 > i2*r2/100, or i1*r1 > i2*r2. Let''s take each statement one by one. 1) (r1)^2 > (r2)^2. ...”
February 7, 2019
Jay@ManhattanReview posted a reply to A manufacturer produced x percent more video cameras in 1994 in the Data Sufficiency forum
“Given: # of video cameras produced in 1993 = 1000 Thus, # of video cameras produced in 1994 = 1000 + x% of 1000 = 1000(1 + x%) = 1000(1 + x/100); # of video cameras produced in 1995 = 1000(1 + x/100)(1 + y%) = 1000(1 + x/100)(1 + y/100) = 1000(1 + x/100 + y/100 + xy/10000) = 1000B Hope ...”
February 7, 2019
Jay@ManhattanReview posted a reply to A set of 11 positive integers have an average of 25. Which in the Problem Solving forum
“Given the average of 11 positive integers is 25, we have the sum of the 11 positive integers = 11*25 = 275. Again, given that there are 11 numbers in the set, the median would be the 6th number. Since we need to maximize the median, we must have the values of 1st to 5th numbers smallest. The ...”
February 6, 2019
Jay@ManhattanReview posted a reply to A vendor sells specialty gift basket at a price of $50.00 in the Problem Solving forum
“Given that the vendor marks up 25% above the cost, the cost per basket = 50 / (100 + 25)% = $40; Selling price per basket to make 20% profit = 40 + 20% of 40 = $48. Thus, the vendor can return (50 – 48)*120 = $240 for 15 baksets => The vendor should refund 240/15 = $16 per basket so ...”
February 6, 2019
Jay@ManhattanReview posted a reply to X is a three-digit positive integer in which each digit is e in the Data Sufficiency forum
“This can be solved efficiently with some hit and trial approach. Let''s take each statement one by one. (1) The hundreds digit of XY is 6. Given that the hundreds digit of XY is 6, we can have two cases: 1. (X, Y):(121, 121) and 2. (X, Y):(112, 112). In each case, the remainder when X is ...”
February 6, 2019
Jay@ManhattanReview posted a reply to X is a three-digit positive integer in which each digit is e in the Data Sufficiency forum
“This can be solved efficiently with some hit and trial approach. Let''s take each statement one by one. (1) The hundreds digit of XY is 6. Given that the hundreds digit of XY is 6, we can have two cases: 1. (X, Y):(121, 121) and 2. (X, Y):(112, 112). In each case, the remainder when X is ...”
February 6, 2019
Jay@ManhattanReview posted a reply to Of the N candies in a bag, some are peppermint and the rest in the Data Sufficiency forum
“Say there are P numbers of peppermints and S numbers of spearmints. Thus, we have P + S = N. We have to get the value of N. Let''s take each statement one by one. 1) If 1 peppermint candy was removed from the N candies, 1/5 of the remaining candies would be peppermint. => P – 1 = ...”
February 6, 2019
Jay@ManhattanReview posted a reply to In a certain sock drawer, there are 4 pairs of black socks, in the Problem Solving forum
“It''s already answered at the BTG. Pl. find it here: https://www.beatthegmat.com/probability-t99931.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Austin | GMAT Tutoring Denver | GRE Prep Los Angeles | TOEFL Prep Classes Las Vegas | and ...”
February 4, 2019
Jay@ManhattanReview posted a reply to The perimeter of a rectangular garden is 360 ft. What is the in the Data Sufficiency forum
“Perimeter of a rectangular garden = 2(a + b) = 360; where a = length and b = width We have to determine the value of a. Let''s take each statement one by one. 1) The length of the garden is twice the width. => a = 2b Thus, from 2(a + b) = 360 and a = 2b, we have 2(2b + b) = 360 ...”
February 4, 2019
Jay@ManhattanReview posted a reply to Is triangle ABC obtuse angled? (1) a^2 + b^2 > c^2 (2) in the Data Sufficiency forum
“It''s already replied at the BTG> Here it is https://www.beatthegmat.com/is-triangle-abc-obtuse-angled-t305338.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Austin | GMAT Tutoring Denver | GRE Prep Los Angeles | TOEFL Prep Classes Las ...”
February 4, 2019
Jay@ManhattanReview posted a reply to If x, y, and z are different positive integers, is x prime? in the Data Sufficiency forum
“Given: x, y, and z are different positive integers. We have to determine whether x is prime. Let''s take each statement one by one. (1) xyz = 30 Factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. Case 1: Say xyz = 30 = 1*2*15; x = 1 is non-prime. Case 2: Say xyz = 30 = 2*1*15; x = 2 is ...”
February 4, 2019
February 4, 2019
Jay@ManhattanReview posted a reply to One number, k, is selected at random from a set of 11 in the Data Sufficiency forum
“If k = 10 is a member of the set, then the probability that the number randomly selected in 10 = 1/11; however, If k = 10 is a NOT member of the set, then the probability that the number randomly selected in 10 = 0. So, we have to determine whether 10 is a member of the set. Let''s take each ...”
February 2, 2019
Jay@ManhattanReview posted a reply to Is the median of the 3 different integers equal to their in the Data Sufficiency forum
“Let''s take each statement one by one. 1) The median of the 3 integers is 19. Say the three integers are: x, y and z such that x < y < z Case 1: Say the integers are 1, 19, 20. Average ≠ Median. The answer is No. Case 2: Say the integers are 18, 19, 20. Average = Median. The ...”
January 31, 2019
Jay@ManhattanReview posted a reply to A jar contains only black marbles and white marbles. If two in the Data Sufficiency forum
“Say there are a total of 3x numbers of marbles; thus, there are 2x numbers of black marbles and x numbers of white marbles. We have to get the value of x. Let''s take each statement one by one. (1) If two marbles were to be drawn, simultaneously and at random, from the jar, there is a 5/12 ...”
January 31, 2019
Jay@ManhattanReview posted a reply to If the drama club and music club is combined, what percent in the Data Sufficiency forum
“The key to this question is not to assume that members of the drama club and that of music club are exclusive, i.e., if X is a member of the drama club, he/she cannot be a member of the music club. The number of members of both the club is not given, thus, the answer is E. The correct answer: ...”
January 31, 2019
Jay@ManhattanReview posted a reply to Dwight and Mose decide to build a new barn on their farm, an in the Problem Solving forum
“Since the question asks for the work left when Mose begins his third shift, Dwight must have done three and Mose must have done two shift. Since we will have to deal with 1/4 three times and 1/6 two times, for the ease of calculation, let''s assume that total work = (4^3)*(6^2) = 2304 1. Work ...”
January 30, 2019
Jay@ManhattanReview posted a reply to Each of three students is given fifteen tokens to spend at a in the Data Sufficiency forum
“Already answered in the BTG. https://www.beatthegmat.com/each-of-three-students-is-given-fifteen-tokens-to-spend-at-a-t303697.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes San Francisco | GMAT Tutoring Boston | GRE Prep Philadelphia | ...”
January 30, 2019
Jay@ManhattanReview posted a reply to The largest bonus that Felix can receive this year is equal in the Data Sufficiency forum
“Say Felix''s annual salary is $S. Thus, The largest bonus that Felix can receive = 20% of S = S/5; The smallest bonus that Felix can receive = 30% of 20% of S = 3S/50 We have to determine that value of S. 1. The smallest possible bonus that Felix can receive this year is $4800.00. ...”
January 30, 2019
Jay@ManhattanReview posted a reply to A store sells two types of birdfeeder: Alphas and Bravos. in the Data Sufficiency forum
“It''s here: https://www.beatthegmat.com/a-store-sells-two-types-of-birdfeeder-alphas-and-bravos-t304802.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Los Angeles | GMAT Tutoring Tampa | GRE Prep Miami | TOEFL Prep Classes Boston | and many ...”
January 29, 2019
Jay@ManhattanReview posted a reply to Of the 66 people in a certain auditorium, at most 6 people h in the Data Sufficiency forum
“Let''s take each statement one by one. (1) More of the people in the auditorium have their birthday in February than in March. Since to exclude January, from February to December, in each month, 6 persons b''day must fall in each of these 11 months. However, we know that in March, the number ...”
January 29, 2019
Jay@ManhattanReview posted a reply to Paul, a painter, paints only flowers or cats in his notebook in the Data Sufficiency forum
“https://i.postimg.cc/D8f6fGHm/Picture1.png Thus, (7 + 11) + (x + 11) = x + 39 => y = 21. Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Los Angeles | GMAT Tutoring Tampa | GRE Prep Miami | TOEFL Prep ...”
January 29, 2019
Jay@ManhattanReview posted a reply to Each number in each of lists L and M above is positive. in the GMAT Math forum
“Given that the ratio of the average (arithmetic mean) of the numbers in list L to the average of the numbers in list M is 3 to 7, let''s take the average of list L = 3x and the average of list M = 7x. Thus, the sum of 7 numbers in list (M + L) = 4*(7x) + 5*(3x) = 28x + 15x = 43x Thus, average ...”
January 25, 2019
Jay@ManhattanReview posted a reply to For a certain city's library, the average cost of purchasing in the Data Sufficiency forum
“This one is already answered. Here it is: https://www.beatthegmat.com/for-a-certain-city-s-library-the-average-cost-t295970.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes New York | GMAT Tutoring Dallas | GRE Prep San Diego | TOEFL Prep ...”
January 25, 2019
Jay@ManhattanReview posted a reply to Ayayai electronics is a company manufacturing MP3 players. in the Problem Solving forum
“See this image. https://i.postimg.cc/c6X0vM6N/iMe.png Thus, (1,000 + x) + x = 11,000 => x = 5,000 Thus, total number of players = 21,000 + x = 21,000 + 5,000 = 26,000. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan ...”
January 23, 2019
Jay@ManhattanReview posted a reply to M is a rectangular solid. Find the volume of M Statement #1 in the Data Sufficiency forum
“Given: M is a rectangular solid. We have to find the volume of M. We know that the volume of a rectangular solid = a*b*c; where a = = length, b = breadth, and c = height Let''s take each statement one by one. Statement #1: The bottom face of M has an area of 28, and the front face, an ...”
January 23, 2019
Jay@ManhattanReview posted a reply to Brian takes a weekend trip to visit a friend. What is his in the Data Sufficiency forum
“We have to find out the average rate for the there-and-back trip. Let''s take each statement one by one. 1) Brian took the same route for both segments. No information about speeds. Insufficient. 2) Brian averaged 80 mph for the first segment and 50 mph for the second segment. If the ...”
January 23, 2019
Jay@ManhattanReview posted a reply to In a certain international contest the winners received only in the Data Sufficiency forum
“Say The number of gold received by France = x; The number of silver received by France = y; The number of gold received by Spain = a; The number of silver received by Spain = b Thus, total medals received by France = x + y; and total medals received by Spain = a + b We have to get ...”
January 22, 2019
Jay@ManhattanReview posted a reply to What is the value of x? in the Data Sufficiency forum
“Note that a prime number has 3 factors, a perfect square of a prime number has three factors, a perfect square of a non-prime number and others has more than three factors. 1. Prime number: Say 2, 3, 5, 7, 11. All have two factors. 2. Perfect square of prime numbers: Say 4, 9, 25, 49, etc. All ...”
January 21, 2019
Jay@ManhattanReview posted a reply to If a is a positive integer and 81 divided by a in the Data Sufficiency forum
“Given: a is a positive integer and 81 divided by a results in a remainder of 1. We have to find out the value of a. From the given information, we know that a is a factor of 80. Let''s take each statement one by one. 1) The remainder when a is divided by 40 is 0. => a is a factor ...”
January 21, 2019
Jay@ManhattanReview posted a reply to A certain furniture store must choose between trucking in the GMAT Math forum
“Given: Company A''s charges: Per delivery Company B''s charges: Per week + A mileage charge We have to determine which of the two companies would charge less to the store. Say the number of deliveries per week = n and mileage per week = m Let''s take each statement one by one. (1) ...”
January 21, 2019
Jay@ManhattanReview posted a reply to If $$\sqrt{x}\ $$ and $$\sqrt{y}$$ are nonzero in the GMAT Math forum
“Given: √x and √y are nonzero integers We have to find out the remainder when x is divided by y. Let''s take each statement one by one. (1) √x – √y = 1 Case 1: Say x = 4 and y = 1, then we have √4 – √1 = 1. The remainder when x = 4 is divided by y = 1 is 0. Case 2: Say x ...”
January 21, 2019
Jay@ManhattanReview posted a reply to In a carnival game, players try to toss marbles in to a milk in the Data Sufficiency forum
“Say the number of marbles that hit the jug without going in is p and the number of marbles that went into the jug is q. Thus, m = 1*p + 2*q m = p + 2q Since 2q is an even number irrespective of whether q is even or odd, whether m is even of odd would depend on whether p is odd. Question ...”
January 20, 2019
Jay@ManhattanReview posted a reply to At the beginning of January 2003, Elizabeth invested money in the Data Sufficiency forum
“Say Elizabeth invested $P at r% per annum rate of interest, and the interested in compounded n times in a year. Thus, the rate of interest per period = (r/n)% and the number of periods = 7n Thus, the amount (Say A) after 7 years A = P(1 + (r/n)%)^7n So, there are three variables: P, r ...”
January 20, 2019
Jay@ManhattanReview posted a reply to A disc jockey plays only hip - hop and country - western in the Data Sufficiency forum
“Say the number of hip - hop records is 7 and the number of country - western records is 4. Thus, the total number of records = 4 + 7 = 11. Thus, 4/11 of the records he plays are country - western. The correct answer: D Hope this helps! -Jay _________________ Manhattan Review ...”
January 20, 2019
Jay@ManhattanReview posted a reply to In the figure above, segments PQ and QR are each parallel to in the Data Sufficiency forum
“We have to get the value of the ratio of the length of QR to PQ. Let''s take each statement one by one. (1) The slope of the line that passes through points P and R is 0.75. Say the coordinates of points P are (x1, y1) and the coordinates of points R are (x2, y2); thus, the coordinates of ...”
January 20, 2019
Jay@ManhattanReview posted a reply to A company bought some desks at a price of $150 each and some in the Data Sufficiency forum
“Say the number of desks = x and the number of chairs = y Thus, 150x + 50y = Total sales We have to determine whether y ≥ 40. Let''s take each statement one by one. 1) The total price of the desk and chairs is 5,000. 150x + 50y = 5,000 => 3x + y = 100 Case 1: Say y = 40, ...”
January 20, 2019
Jay@ManhattanReview posted a reply to What was a certain company's revenue last year? in the Data Sufficiency forum
“Say Revenue = R and Expenses = E Let''s take each statement one by one. 1) Last year gross profit was $4,100. Thus, R – E = 4100. Can''t get the unique value of R. Insufficient. 2) Last year revenue was 50% greater than expenses. => R = 1.5E. Can''t get the unique value of R. ...”
January 20, 2019
Jay@ManhattanReview posted a reply to 30 people in total attended an office party for a in the Data Sufficiency forum
“Let''s take each statement one by one. 1) One person ate exactly 2 slices of cake. This statement is open to a couple of interpretations. 1. EXACTLY one person ate exactly 2 slices of cake. 2. AT LEAST one person ate exactly 2 slices of cake. If we take #1 as interpretation, we get that ...”
January 20, 2019
Jay@ManhattanReview posted a reply to Set A = {2, 3, 4, 5}, and set B = {4, 5, 6, 7, 8}. If P = th in the Problem Solving forum
“Apt advice Brent. When it comes to counting questions, many students are reluctant to simply list and count the possible outcomes. -Jay _________________ Manhattan Review Locations: Manhattan Review Kukatpally | GMAT Prep Jayanagar | GRE Prep Tarnaka | Madhapur GRE Coaching | and many ...”
January 20, 2019
Jay@ManhattanReview posted a reply to In the addition above, #, @, and & each represent a dist in the Data Sufficiency forum
“We have # + @ = &, where #, @, and & each represents a distinct, positive digit and & is even We have to get the value of #. Let''s take each statement one by one. (1) # and @ are even and & = 6. There are two possibilities: 1. # = 2 and @ = 4 and 2. # = 4 and @ = 2. No ...”
January 18, 2019
Jay@ManhattanReview posted a reply to A cake recipe uses a constant ratio of 2 teaspoons vanilla in the Data Sufficiency forum
“Given: Ratio vanilla extract (teaspoons) to chocolate (ounce) = 2 : 1 We have to find out how many ounces of chocolate would be needed to make a cake that serves 6 people. Let''s take each statement one by one. 1) The original recipe calls for exactly five teaspoons of vanilla extract. ...”
January 18, 2019
Jay@ManhattanReview posted a reply to A certain packing box contains books between 50 to 60. How in the Data Sufficiency forum
“Given: 50 < Number of books < 60 We have to find out the number of books. Let''s take each statement one by one. 1) If the books are counted by three, there will be one book left over. The statement means that the number of books divided by 3 will leave a remainder 1. Thus, ...”
January 18, 2019
Jay@ManhattanReview posted a reply to Sarah is in a room with 6 other children. If the other child in the Data Sufficiency forum
“Given: Ages of 6 children 2, 4, 5, 8, 10, and 13 years We have to determine whether Sarah is 7 years old. Let''s take each statement one by one. (1) The age of the fourth oldest child is equal to the average (arithmetic mean) of the seven children’s ages. Case 1: Say Sarah is 7 years ...”
January 17, 2019
Jay@ManhattanReview posted a reply to Which of the following lines is perpendicular to 4x+5y=9 in the Problem Solving forum
“Note that two lines are perpendicular to each other if the product of their slopes is 1. Let''s first find out the slope of the given line 4x + 5y = 9. Let''s transform it into y = mx + c form, where m is the slope of the line. Thus, 4x+5y=9 => y = (–4/5)x + 9. Thus, m = –4/5 Say the ...”
January 17, 2019
Jay@ManhattanReview posted a reply to Mixture A is 15 percent alcohol, and mixture B is 50 percent in the Problem Solving forum
“Say mixture A is x gallons and mixture B is y gallons. Thus, total amount of alcohol in the combined mixture = 15% of x + 50% of y = 0.15x + 0.5y Again, the amount of alcohol in the combined mixture = 30% of 4 = 1.2 gallons Thus, 0.15x + 0.5y = 1.2 We also know that x + y = 4. Tus, y = 4 ...”
January 16, 2019
Jay@ManhattanReview posted a reply to What was the amount of money donated to a certain charity? in the Data Sufficiency forum
“Let''s take each statement one by one. 1) Of the amount donated, 40 percent came from corporate donations. No information about the amount of donation. Insufficient. 2) Of the amount donated, $1.5 million came from noncorporate donations. No information about the amount of donation from ...”
January 16, 2019
Jay@ManhattanReview posted a reply to Tyler sells two types of milkshakes: chocolate and Oreo. in the Data Sufficiency forum
“Read a nice article that includes this question. Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Tarnaka | GMAT Prep Madhapur | GRE Prep Kukatpally | Jayanagar GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT ...”
January 16, 2019
Jay@ManhattanReview posted a reply to Twenty people at a meeting were born during the month of in the Problem Solving forum
“Probability that at least two people sharing the same birthday = 1 – E Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Jayanagar | GMAT Prep Tarnaka | GRE Prep Madhapur | Kukatpally GRE Coaching | and many more... Schedule your free consultation ...”
January 15, 2019
Jay@ManhattanReview posted a reply to How many hours did it take Helen to drive from her house to in the Data Sufficiency forum
“Say the distance from Helen''s home to her parent''s house is d kilometers. We have to get the value of d. Let''s take each statement one by one. 1) Helen''s average speed on this trip was 72 kilometers per hour. => time taken by Helen = d/72 hours. Can''t get the value of d. ...”
January 15, 2019
Jay@ManhattanReview posted a reply to The cost of a square slab is proportional to its thickness a in the Data Sufficiency forum
“Say the cost of the slab is C, thickness is T and length is L. It is given C is proportional to T and square of L. Say a constant is K. Thus, C = KTL^2 We are given that T = 0.1 meter, and L = 3 meters Thus, C = K*0.1*3^2 C = 0.9K If we get the value of K, we get the answer. ...”
January 15, 2019
Jay@ManhattanReview posted a reply to Which of the following CANNOT result in an integer? A. The in the Problem Solving forum
“Let''s take each option one by one. A. The product of two integers divided by the reciprocal of a different integer Say the three integers x, y and z. Thus, xy/(1z) = xyz. Product of three integers is always an integer. Option A can''t be the correct option. B. An even integer divided by ...”
January 15, 2019
Jay@ManhattanReview posted a reply to If Jay has 99 problems, in how many ways can he select k of in the Data Sufficiency forum
“Note that unlike Permutation, in case of the combination, nCr = nC(n–r). Thus, we do not always get the unique value of r. Let''s take an example. • Number of ways of choosing 3 things out of 4 = 4C3 = (4.3.2)/(1.2.3) = 4; and • Number of ways of choosing 1 thing out of 4 = 4C1 = 4 ...”
January 14, 2019
Jay@ManhattanReview posted a reply to m is a multiple of 13. Is mn a multiple of 195? in the Data Sufficiency forum
“Given that m is a multiple of 13, we have m = 13k, where k is any integer. If mn a multiple of 195, mn = 195p, where p is any integer. mn = 195p => 13kn = 195p => n = 195p/13k = 15p/k. => n = 15p/k Let''s take each statement one by one. (1) n has every factor that 45 has. ...”
January 14, 2019
Jay@ManhattanReview posted a reply to If set S consists of the numbers 1, 5, -2, 8, and n, is 0 &l in the Data Sufficiency forum
“Given: Set S: {–2, 1, 5, 8, n} Question; Is 0 < n < 7 ? Let''s take each statement one by one. (1) The median of the numbers in S is less than 5. Case 1: Considering n ≤ 0. Say n = –3 => Set S: : {–3, –2, 1, 5, 8}. Median = 1 < 5. The answer is No. Case 2: ...”
January 14, 2019
Jay@ManhattanReview posted a reply to At a certain fruit stand, the price of each apple is 40 in the Problem Solving forum
“Say Mary x numbers of apples and y numbers of oranges. Thus, x +y = 10 and 40x + 60y = 56*10 40x + 60y = 560 Say Mary put back p numbers of oranges, thus, we have 40x + 60y – 60 p = 52(10 – p) 560 – 60 p = 520 – 52p p = 5. The correct answer: E Hope this helps! -Jay ...”
January 11, 2019
Jay@ManhattanReview posted a reply to In a certain bathtub, both the hot and cold water fixtures in the Problem Solving forum
“Say c = 10 hours and h = 20 hours since it is given that c < h. Thus, we have 1/c + 1/h = 1/t 1/10 + 1/20 = 1/h h = 20/3 = 6.67 hours Let''s see the statements: I. 0 < t < h: 0 < 6.67 < 20. This is correct. II. c < t < h: 10 > 6.66 < 20. This is not ...”
January 11, 2019
Jay@ManhattanReview posted a reply to By what percent is 25 greater than 15? in the Problem Solving forum
“25 is greater than 15 by 10 (= 25 – 15). Thus, 25 is greater than 15 by (10/15)*100% = 66 2/3%. The correct answer: E Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Chennai | GMAT Prep Himayatnagar | GRE Prep Hyderabad | Bangalore GRE Coaching | ...”
January 11, 2019
Jay@ManhattanReview posted a reply to A recent lunch meeting at a certain club was attended by mem in the Data Sufficiency forum
“Say the number of members was x and the number of guests was y; thus, the total number of people = x + y. We have to get the value of x. Let''s take each statement one by one. (1) A total of 20 people attended the meeting. => x + y = 20. Can''t get the unique value of x. ...”
January 11, 2019
Jay@ManhattanReview posted a reply to Ted and Barney work for the same company but earn different in the Data Sufficiency forum
“Say the incomes of Ted and Barney are x, and y, respectively; and the expenditures of Ted and Barney are p, and q, respectively. Thus, the savings of Ted and Barney would be (x – y), and (p – q), respectively. The portion of savings of Ted and Barney are (x – y)/x = 1 – y/x, and (p – ...”
January 10, 2019
Jay@ManhattanReview posted a reply to Given that x ≠ 5, is x>{1/(x-5)^2} in the Data Sufficiency forum
“Given: x ≠ 5 Question: Is x > {1/(x – 5)^2}? Let''s take each statement one by one. (1) x > 0 Case 1: Say x = 11 Thus, x > {1/(x – 5)^2} = 11 ? {1/(11 – 5)^2} => 11 > 1/36. The answer is Yes. Case 2: Say x = 1/100 Thus, x > {1/(x – 5)^2} = 1/100 ? ...”
January 10, 2019
Jay@ManhattanReview posted a reply to Gunther, the pizza delivery boy, went out from the store in the Problem Solving forum
“Already answered at the BTG. https://www.beatthegmat.com/gunther-the-pizza-delivery-boy-went-out-from-the-store-t304229.html Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Bangalore | GMAT Prep Chennai | GRE Prep Himayatnagar | Hyderabad GRE Coaching ...”
January 10, 2019
Jay@ManhattanReview posted a reply to 17^27 has a units digit of: in the Problem Solving forum
“Let''s understand the power cycle of 7. • 7^1 = 7; unit digit = 7; • 7^2 = 49; unit digit = 9; • 7^3 = 343; unit digit = 3; • 7^4 = ...1; unit digit = 1; • 7^5 = ...7; unit digit = 7; We see that units digit of the power of 7 repeats after every 4 cycle. Let''s see 17^27 ...”
January 10, 2019
Jay@ManhattanReview posted a reply to The water from one outlet, flowing at a constant rate, can f in the Problem Solving forum
“Given that the first outlet, flowing at a constant rate, can fill a swimming pool in 9 hours, the part of the pool filled in 1 hour = 1/9; and the second outlet, flowing at a constant rate, can fill a swimming pool in 5 hours, the part of the pool filled in 1 hour = 1/5 Part of the pool filled in ...”
January 9, 2019
Jay@ManhattanReview posted a reply to If the ratio of w to x to y is 1 : 2 : 3, what is the value in the Data Sufficiency forum
“Given the ratio of w to x to y is 1 : 2 : 3, we have w = p; x = 2p; and y = 3p. Thus, w + x = p + 2p = 3p If we get the value of p, we get the answer. Let''s take each statement one by one. (1) x – w = 5 => 2p – p = p = 5 => p = 5. Sufficient. (2) 3y – 2w = 35 => ...”
January 9, 2019
Jay@ManhattanReview posted a reply to For integers x and y, 1 < x < y. Is x^y a factor of 11 in the Data Sufficiency forum
“Given: 1 < x < y; where x and y are positive integers We have to determine whether x^y is a factor of 11!. Let''s take each statement one by one. (1) x > 3 Case 1: Say x = Very big number; thus, y is also a very big number. So, can conclude that x^y would not be a factor of 11!. ...”
January 9, 2019
Jay@ManhattanReview posted a reply to Working together, Machine A and Machine B can produce in the Data Sufficiency forum
“Say working alone, Machine A can produce 200 widgets in a hours and Machine B can produce 200 widgets in b hours. Thus, we have 1/a + 1/b = 1/4 We have to get the value of a. Let''s take each statement one by one. (1) Working alone, Machine B takes 5 hours to produce 50 widgets. => ...”
January 8, 2019
Jay@ManhattanReview posted a reply to A department manager distributed a number of pens, pencils, in the Data Sufficiency forum
“We have to find out the number of staff members in the department. Let''s take each statement one by one. (1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2 : 3 : 4, respectively. Say the common ratio is m, thus each staff member received 2m pens, ...”
January 8, 2019
Jay@ManhattanReview posted a reply to If the graph of y = x^2 + ax + b passes through the points ( in the Data Sufficiency forum
“Note that the y-coordinates of the points m, 0) and (n, 0) are 0; thus, we can replace y = 0 in the equation of the graph y = x^2 + ax + b. => 0 = x^2 + ax + b => x = A Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Vijayawada | GMAT Prep ...”
January 8, 2019
Jay@ManhattanReview posted a reply to S is a finite set of numbers. Does S contain more negative in the Data Sufficiency forum
“We have to determine whether set S contains more negative numbers than positive numbers. Let''s take each statement one by one. (1) The product of all the numbers in S is –1,200. Case 1: Say Set S has 2 numbers; they are –1200 and 1. The answer is No. Case 2: Say Set S has 4 numbers; ...”
January 8, 2019
Jay@ManhattanReview posted a reply to If x and y are nonzero integers, is in the Data Sufficiency forum
“We have to determine whether $$\left(x^{-1}+y^{-1}\right)^{-1}\ >\left(x^{-1}\cdot y^{-1}\right)^{-1}\ ?$$ . From $$\left(x^{-1}+y^{-1}\right)^{-1}\ >\left(x^{-1}\cdot y^{-1}\right)^{-1}\ ?$$ , we have 1/(1/x + 1/y) > 1/(1/xy) xy/(x + y) > xy We cannot cancel xy from both the ...”
January 7, 2019
Jay@ManhattanReview posted a reply to Is x^2 + 9 prime? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) x is odd So, we have x^2 + 9 => (Odd)^2 + 9 => Odd + Odd = Even > 9. Note that all prime numbers greater than 2 are odd, thus, x^2 + 9 is not a prime number. Sufficient. (2) 3 ≤ x ≤ 7 We must not assume that x is an integer and ...”
January 7, 2019
Jay@ManhattanReview posted a reply to If a/b > 4, is a > 8? in the Data Sufficiency forum
“Given: a/b > 4 We have to determine whether a > 8. Let''s take each statement one by one. (1) b > 2 Given b > 2 means that b is positive, thus, we can multiply b to both the sides of a/b > 4. Thus, we have a/b > 4 => (a/b)*b > 4*b => a > 4b. Say b = ...”
January 7, 2019
Jay@ManhattanReview posted a reply to If a total of 84 students are enrolled in two sections of a in the Data Sufficiency forum
“Say there are x numbers of males students; thus, there are 84 – x numbers of female students. We have to get the value of 84 – x. Let''s take each statement one by one. 1) 2/3 of the students in Section 1 are female. We don''t know about this information for Section 2. Insufficient. ...”
January 7, 2019
Jay@ManhattanReview posted a reply to Each of the 105 students in a certain club is either a in the Data Sufficiency forum
“From the two statements, we know that the ratio of the number of freshmen to the number of sophomores to the number of juniors is 1 : 2 : 4 On ratio scale the total number of students = 1 + 2 + 4 = 7. Thus, the number of sophomores = 2*(105/7) = 30. Sufficient. The correct answer: C ...”
January 7, 2019
Jay@ManhattanReview posted a reply to If the operation # is one of the four arithmetic operations in the Data Sufficiency forum
“Let''s take each statement one by one. (1) 3#2 > 3 Say # is: 1. Addition: Thus, 3#2 > 3 => 3+2 > 3 => 5 > 3. Thus, # can be addition. 2. Subtraction: Thus, 3#2 > 3 => 3–2 > 3 => 1 < 3. Thus, # cannot be subtraction. 3. Multiplication: Thus, 3#2 > 3 ...”
January 7, 2019
Jay@ManhattanReview posted a reply to A barn is enclosed in the shape of a 6-sided figure; all in the Data Sufficiency forum
“Given that the 6-sided figure has sides of the same length and have the same angle, the figure is a regular hexagon. Note that each interior angle of a hexagon is 120º and the simply by knowing the side or diagonal of the hexagon, we can compute its area. Thus, each statement by itself is ...”
January 5, 2019
Jay@ManhattanReview posted a reply to Machine M and Machine N working alone at their constant rate in the Data Sufficiency forum
“Say Machine M works for x hours and Machine N works for y hours. We have to determine whether x > y. Let''s take each statement one by one. 1) Machine N produces 2000 more nails than machine M in one hour when each machine work at its constant rate. => 2000 = 8000/y – 6000/x 1 ...”
January 5, 2019
Jay@ManhattanReview posted a reply to A store sells erasers for 0.23$ per piece and pencil for in the Data Sufficiency forum
“Say Jessica bought x numbers of erasers and y x numbers of pencils. Thus, she spent a total of 0.23x + 0.11y to buy (x + y) items. We have to get the value of (x + y). Let''s take each statement one by one. 1) She bought 5 erasers. No information about the numbers of pencils. ...”
January 5, 2019
Jay@ManhattanReview posted a reply to Of the 800 sweaters in a certain store, 150 are red. How in the Data Sufficiency forum
“Pl. refer to this self-explanatory image. https://i.postimg.cc/gxtP6r12/Picture1.png The correct answer: B Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review New Delhi | GMAT Prep Malleswaram | GRE Prep Vijayawada | Mumbai GRE Coaching | and many ...”
January 4, 2019
Jay@ManhattanReview posted a reply to Jim and Nancy each provide the same service at a different in the Data Sufficiency forum
“Say the original prices for Jim and Nancy are J and N, respectively. We have to determine whether Nancy’s discount price is less than Jim’s discount price. 1) Jim’s discount price is 20 percent less than his original price and Nancy’s discount price is 30 percent less than her original ...”
January 4, 2019
Jay@ManhattanReview posted a reply to Does Country X have more citizens than Country Y? in the Data Sufficiency forum
“Say Country X has X numbers of citizens and Country Y has Y numbers of citizens. We have to determine whether X > Y. Let''s take each statement one by one. 1) 60% of Country X''s citizens are also citizens of Country Y. The number of citizens of both the countries = 60% of X = 0.6X. ...”
January 4, 2019
Jay@ManhattanReview posted a reply to If n is a positive integer, is n the square of an integer? in the Data Sufficiency forum
“Given: n is a positive integer. We have to determine whether n the square of an integer or a perfect square number. Let''s take each statement one by one. (1) |n – 5m| = 2 for some integer m. => n – 5m = 2 or n – 5m = –2 Taking n – 5m = 2, we get n = 2 + 5m, where m is ...”
January 4, 2019
Jay@ManhattanReview posted a reply to How many people contributed to the Charity Y ? in the Data Sufficiency forum
“Average contribution = Total contribution / Total number of people Thus, $100 = 47000/ Total number of people => Total number of people = 470. Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review New Delhi | ...”
January 4, 2019
Jay@ManhattanReview posted a reply to This morning, a certain sugar container was full. Since then in the Data Sufficiency forum
“Say the container had 100 grams of sugar and x grams was removed. Thus, it has (100 – x) grams of sugar now. We have to get the value of x/(100 – x). Let''s take each statement one by one. 1) The amount of sugar in the container after making the cookies would need to be increased by 30 ...”
January 3, 2019
Jay@ManhattanReview posted a reply to On a construction site, 16 of the men wear helmets, and 19 in the Data Sufficiency forum
“Pl. see this self-explanatory image. https://i.postimg.cc/rdF10bCk/Helmate.png The correct answer: E Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Jayanagar | GMAT Prep Tarnaka | GRE Prep Madhapur | Kukatpally GRE Coaching | and many more... ...”
January 3, 2019
Jay@ManhattanReview posted a reply to d = 0.43t7 If t denotes the thousandths digit in the decimal in the Data Sufficiency forum
“Given that d = 0.43t7, we have to find out the value of t. Let''s take each statement one by one. (1) If d were rounded to the nearest hundredth, the result would be 0.44. We have d = 0.43t7, which is rounded to the nearest hundredth and its value is 0.44. Since the nearest hundredth is ...”
January 3, 2019
Jay@ManhattanReview posted a reply to The employees of Smith Enterprises received wage increases in the Problem Solving forum
“It''s clear that the maximum wage increase for a 40-hour week would be $40*(87.5/100) = $4*(7/8) = $35. The correct answer: D Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Himayatnagar | GMAT Prep Hyderabad | GRE Prep Bangalore | Chennai GRE ...”
January 2, 2019
Jay@ManhattanReview posted a reply to A department store receives a shipment of 1,000 shirts, for in the Problem Solving forum
“Cost of per shirt = 9000/1000 = $9; Price of a shirt in the first month = 9*(100 + 80)% = 9*1.8; Price of a shirt in subsequent months = 9*(100 + 20)% = 9*1.2; Number of shirts sold in the first month = 75% of 1000 = 750; Number of remaining shirts = 1000 – 750 = 250; Number of shirts sold in ...”
January 2, 2019
Jay@ManhattanReview posted a reply to Of the 84 parents who attended a meeting at a school, 35 vol in the Problem Solving forum
“Say, P = the number of parents who attended the meeting = 84; S = the number of parents who volunteered to supervise children = 35; R = the number of parents who volunteered to bring refreshments = 1.5N; B = the number of parents who volunteered to supervise children as well as bring ...”
January 2, 2019
Jay@ManhattanReview posted a reply to If the ratio of the volumes of two right circular cylinders in the Problem Solving forum
“Note that the volume (V) of a right circular cylinder is given by πr^2h, where r = radius of the cylinder and h = height So, V = πr^2h => Volume of proportional to the square of the radius, if height is constant Since it is given that the two cylinders have the same heights, their ...”
January 2, 2019
Jay@ManhattanReview posted a reply to A person invested $500 each in two different schemes S1 and in the Data Sufficiency forum
“Let''s take each statement one by one. Say the $500 invested in scheme S1 attracts an interest of R% per annum and the $500 invested in scheme S2 attracts an interest of r% per annum. 1) At the beginning of year 2, S1 amounts to $525. => 525 – 500 = $25 is the interest for one year in ...”
January 1, 2019
Jay@ManhattanReview posted a reply to For a certain city's library, the average cost of purchasing in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost. Funds needed to buy 600 (= 50*12) books = 600*$28 = $16,800 > $15,000. Thus, the library must have received the bonus. ...”
January 1, 2019
Jay@ManhattanReview posted a reply to Brady, Charlie, and Daryl play on the same baseball team. Th in the Data Sufficiency forum
“Say the number of home runs hit by Brady, Charlie, and Daryl are b, c, and d, respectively. We have to get the value of b/(b + c + d). Let''s take each statement one by one. (1) Brady hit 12 home runs in that season. We have b = 12, but we do not know the value of c and d. Insufficient. ...”
January 1, 2019
Jay@ManhattanReview posted a reply to The average weight of the women in a room is 120 lbs, and th in the Data Sufficiency forum
“Say there are x numbers of men and y numbers of women in the room. Thus, there are a total of x + y numbers of people in the room. Average weight of x + y people = (150x + 120y)/(x + y) Let''s take each statement one by one. (1) There are twice as many men as women in the room. => x = ...”
January 1, 2019
Jay@ManhattanReview posted a reply to Is x + y > 0 ? (1) x - y > 0 (2) x^2 - y^2 > 0 in the Data Sufficiency forum
“We have to determine whether x + y > 0. Let''s take each statement one by one. (1) x – y > 0 Case 1: Say x = 3 and y = 2, then x – y > 0 and x + y = 5 and x + y > 0. The answer is Yes. Case 2: Say x = –2 and y = –3, then x – y > 0 => –2 + 3 = 1 > 0 and x + ...”
December 29, 2018
Jay@ManhattanReview posted a reply to In a certain senior class, 72 percent of the male students in the Data Sufficiency forum
“Say there are x numbers of male students, y numbers of female students; thus, there are x + y numbers of students. Thus, the percent of the students in the senior class who have applied to college = 72% of x + 80% of y = 0.72x + 0.8y We have to get the value of x /(x + y). Let''s take each ...”
December 29, 2018
Jay@ManhattanReview posted a reply to How many members of a certain country club play both squash in the Data Sufficiency forum
“Say, the total members of the country club play either squash or racquetball = T; the total members of the country club play squash = S; the total members of the country club play racquetball = R; and the total members of the country club play both squash and racquetball = B Thus, we have ...”
December 29, 2018
Jay@ManhattanReview posted a reply to If a certain positive integer is divided by 9, the remainder in the Data Sufficiency forum
“Given that the positive integer divided by 9 leaves the remainder 3, we have the number = 9q + 3; where q = quotient. We have to determine the remainder when the integer 9q + 3 is divided by 5. Let''s take each statement one by one. 1) If the integer is divided by 45, the remainder is 30. ...”
December 29, 2018
Jay@ManhattanReview posted a reply to A car drives along a straight road from Smithville to Laredo in the Data Sufficiency forum
“Say the distance from Smithville to Laredo is x miles, the distance from Smithville to Ferristown is y miles, and the distance from Ferristown to Laredo is z miles. Thus, x = y + z. We have to get the value of x. Let''s take each statement one by one. 1) The distance from Smithville to ...”
December 29, 2018
Jay@ManhattanReview posted a reply to Are at least 10 percent of the people in Country X who are in the Data Sufficiency forum
“We have to determine whether at least 10 percent of the people in Country X who are 65 years old or older employed. Let''s take each statement one by one. 1) In Country X, 11.3% of the population is 65 years old or older. We have no information about the percent of the people in Country X ...”
December 29, 2018
Jay@ManhattanReview posted a reply to The total cost of producing item X is equal to the sum of in the Data Sufficiency forum
“Say before January, the fixed cost is $F and the variable cost is $V, and in January, the fixed cost is $F'' and the variable cost is $V''. Thus, Before January, Total cost T = F + V and After January, Total cost T'' = F'' + V'' = F'' + 95% of T = F'' + 0.95V We have to find out the value ...”
December 28, 2018
Jay@ManhattanReview posted a reply to A wooden rod is cut into two pieces. What is the length of in the Data Sufficiency forum
“Say the lengths of the two pieces are x and y inches such that x > y. We have to get the value of x. Let''s take each statement one by one. 1) One of the pieces is 20 inches longer than the other piece. x = y + 20. Insufficient. 2) The length of the shorter piece is 1/3 the length of ...”
December 28, 2018
Jay@ManhattanReview posted a reply to In the figure above, a circle is inscribed in square WXYZ. W in the Data Sufficiency forum
“Note that the radius of the circle is half of the side of the square and Side of the square is 1/√2 times the diagonal of the square. Also, note that the shortest distance between W and Y is the diagonal. So from Statement 1, we have diagonal = WY. Thus, we can have the value of side as well as ...”
December 28, 2018
Jay@ManhattanReview posted a reply to Mark has fewer than 9 coins. Each coin is either a quarter in the Data Sufficiency forum
“say Mark has x numbers of quarters and y numbers of dimes. Thus, we have 2 ≤ x + y < 9 We have to find out the value of y. Let''s take each statement one by one. 1) The total value of Mark''s coins is $1.70. 0.25x + 0.10y = 1.70 5x + 2y = 43 y = (34 – 5x)/2 y = 17 ...”
December 28, 2018
Jay@ManhattanReview posted a reply to Mark has fewer than 9 coins. Each coin is either a quarter in the Data Sufficiency forum
“say Mark has x numbers of quarters and y numbers of dimes. Thus, we have 2 ≤ x + y < 9 We have to find out the value of y. Let''s take each statement one by one. 1) The total value of Mark''s coins is $1.70. 0.25x + 0.10y = 1.70 5x + 2y = 43 y = (34 – 5x)/2 y = 17 ...”
December 28, 2018
Jay@ManhattanReview posted a reply to What percentage of the current fourth graders at Liberation in the Data Sufficiency forum
“Let''s take each statement one by one. 1) 60% of the current fourth graders at Liberation Elementary School dressed in costume for Halloween this year. Certainly insufficient. 2) Of the current fourth graders at Liberation Elementary School who did not dress in costume for Halloween this ...”
December 28, 2018
Jay@ManhattanReview posted a reply to Last week, Raina and Bob made a combined total of 190 sales in the Data Sufficiency forum
“Say the number of sales made by Raina is x, and the number of sales made by Bob is y. Thus, x + y = 190. We have to find out the value of x – y. Let''s take each statement one by one. 1) The difference between the number of sales Raina made and the number of sales Bob made was ten ...”
December 28, 2018
Jay@ManhattanReview posted a reply to Last year, 'Crazy Matt's Electronics' earned 90% more than in the Data Sufficiency forum
“Say, Sane Dan Plumbing'' last year earning = $x, thus, Crazy Matt''s Electronics'' last year earning = $1.9x. We have to find out whether Matt''s earnings this year higher than Dan''s last year''s earnings (= x). Let''s take each statement one by one. 1) Dan earned 735,123 dollars last ...”
December 27, 2018
Jay@ManhattanReview posted a reply to On June 1, Mary paid Omar $360 for rent and utilities for in the Data Sufficiency forum
“Say the rent for the month of June is $X and charges for the utility per day is $y. Thus, we have Say Mary moves out after d days, where d < 30; we know that June is a 30 days month. We have to find out the value of $(30 – d)y. Let''s take each statement one by one. 1) Mary moves ...”
December 27, 2018
Jay@ManhattanReview posted a reply to In 1990 850 million movie tickets were sold in the United in the Data Sufficiency forum
“Given that a total 850M tickets were sold, the number of tickets bought by people over the age of 50 = 1/5 of 850 = 170M. We have to determine whether people under the age of 20 bought more than 425 million movie tickets in 1990. Let''s take each statement one by one. 1) In 1990, people ...”
December 27, 2018
Jay@ManhattanReview posted a reply to In isosceles triangle RST what is the measure of angle R? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The measure of angle T is 100 degrees. Case 1: Say angle S = angle R. Since angle T = 100, the sum of angle T and angle S = 180 – 100 = 80. This means that angle S = angle R = 40. Case 2: Say angle T = angle R = 100. But this case is not possible ...”
December 27, 2018
Jay@ManhattanReview posted a reply to John and Fawn, each drinking at a constant pace, can finish in the Data Sufficiency forum
“Say John alone takes x hours and Fawn takes y hours to finish a can. Thus, we have 1/x + 1/y = 1/12 We have to get the value of x. Let''s take each statement one by one. 1) The average time it would take both to finish independently is 30 hours. => (x + y)/2 = 30 => x + y = 60 ...”
December 24, 2018
Jay@ManhattanReview posted a reply to What is the ratio of the number of cups of flour to the in the Data Sufficiency forum
“Say the number of cups of flour and the number to the number of cups of sugar are F and S, respectively. We have to find out the value fo F/S. Let''s take each statement one by one. 1) The number of cups of flour required in the recipe is 250% of the number of cups of sugar required in the ...”
December 24, 2018
Jay@ManhattanReview posted a reply to If Mary always takes the same route to work, how long did it in the Data Sufficiency forum
“Say the distance to work is d miles and speed on Friday was s miles per minute. Thus, time taken to get to work on Friday = d/s minutes Let''s take each statement one by one. 1) It took Mary 20 minutes to get to work on Thursday. Time taken to get to work on Thursday = d/s'' = 20 ...”
December 24, 2018
Jay@ManhattanReview posted a reply to Eco Wildlife Preserve contains 5x zebras and 2x lions, where in the Data Sufficiency forum
“Current zebra to lion ratio: Z : L :: 5x : 2x The ratio after z numbers of zebras a killed by lions: Z'' : L. We have to determine whether Z'' : L is less than 1/2. Z'' : L :: (5x – z) : 2x < 1/2 = (5x – z) / 2x < 1/2 = 5/2 – z/2x < 1/2 = 5/2 – 1/2 < z/2x = ...”
December 24, 2018
Jay@ManhattanReview posted a reply to If a certain parking lot contains 40 motors vehicles, how in the Data Sufficiency forum
“See the following image which is self-explanatory. https://i.postimg.cc/2bHmtNgf/Truck.png The correct answer: E Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Hyderabad | GMAT Prep Bangalore | GRE Prep Chennai | Himayatnagar GRE Coaching | and ...”
December 24, 2018
Jay@ManhattanReview posted a reply to Is the range of the integers 6, 3, y, 4, 5, and x greater in the Data Sufficiency forum
“Excluding x and y, the range of the list 6, 3, y, 4, 5, and x is 6 – 3 = 3. We have to determine whether the range of the list is greater than 9. Let''s take each statement one by one. (1) y > 3x Case 1: Say x = 0, and y = 1, the range = 6 – 0 = 6 < 9. The answer is No. Case 2: ...”
December 23, 2018
Jay@ManhattanReview posted a reply to A mixture of oil, water, and vinegar contains 10% oil. After in the Data Sufficiency forum
“Let''s take each statement one by one. (1) Before the water evaporated, the mixture exactly filled a one liter bottle. => Oil = 10% of 1 liter = 100 ml., but we do not know how much water is evaporated. Insufficient. (2) Before the water evaporated, vinegar accounted for forty percent ...”
December 20, 2018
Jay@ManhattanReview posted a reply to Before being simplified, the instructions for computing in the Problem Solving forum
“Pl. find it here: https://www.beatthegmat.com/income-tax-t277997.html Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Hyderabad | GMAT Prep Bangalore | GRE Prep Chennai | Himayatnagar GRE Coaching | and many more... Schedule your free consultation ...”
December 20, 2018
Jay@ManhattanReview posted a reply to If sequence S has 120 terms, what is the 105th term of S? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The first term of S is −8. Certainly insufficient as we do not know by what pattern the subsequent terms follow. (2) Each term of S after the first term is 10 more than the preceding term. Certainly insufficient. Though we know the pattern the ...”
December 20, 2018
Jay@ManhattanReview posted a reply to Kevin deposited x hundred dollars in a bank that pays Y in the Problem Solving forum
“Since the interest is compounded semi-annually, we have to consider the rate = Y/2 and period of compounding = 1*2 = 2 periods. The sum invested given = x hundred dollars = $ 100x The formula for compounding is A = P(1 + r/100)^n, where A = Amount, P = Principal = 100x, r = Rate of interest = ...”
December 19, 2018
Jay@ManhattanReview posted a reply to It takes 6 beavers 10 hours to build a certain dam, working in the Problem Solving forum
“Given, that it takes 6 beavers 10 hours to build a certain dam, we need 6*10 = 60 man-hours to complete the dam. Or, in 1 man-hour 1/60 dam is completed. From 12 noon to 6 pm, in 6 hours, 6 beavers worked or contributed 6*6 = 36 man-hours. This way, 36/60 = 3/5 part of the dam is completed and 1 ...”
December 19, 2018
Jay@ManhattanReview posted a reply to If 5 − 3x > 3, which of the following expresses the pos in the Problem Solving forum
“We have 5 − 3x > 3 Transferring –3x to the RHS and 3 to LHS, we have 5 – 3 > 3x => 2 > 3x => 2/3 > x. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Test Prep Locations: Manhattan Review Chennai | Free GMAT Practice Test | GRE ...”
December 19, 2018
Jay@ManhattanReview posted a reply to In the figure, the 6 small squares are identical, each with in the Problem Solving forum
“Let''s convert the figure as below. https://i.postimg.cc/0KbdLz1j/Sqr.png The perimeter = 12. The correct answer: B Hope this helps! -Jay _________________ Manhattan Review Test Prep Locations: Manhattan Review Chennai | Free GMAT Practice Test | GRE Prep Hyderabad | Jayanagar ...”
December 19, 2018
Jay@ManhattanReview posted a reply to Jason deposits money at a bank on a Tuesday and returns to in the Problem Solving forum
“Note that after 7 days, we land on the same day, so we have to count how many complete 7-days are there in 100 days. 100 divided by 7 leaves a quotient of 14 and 2 the remainder. So, we must count 2 days from Tuesday. Two days from Tuesday is Thursday. The correct answer: D Hope this ...”
December 19, 2018
Jay@ManhattanReview posted a reply to When n is a positive integer, is n / 4 an integer? in the Data Sufficiency forum
“For n/4 to be an integer, n must be divisible by 4. Let''s take each statement one by one. 1) n – 1 is not divisible by 2. Since n and n – 1 are consecutive integer and n – 1 is not divisible by 2, it means that n is divisible by 2. Note that every second number is even, thus, ...”
December 18, 2018
Jay@ManhattanReview posted a reply to Harry and Ron work for the same company but earn different in the Data Sufficiency forum
“Say, Harry''s income and expenditures are x, and y, respectively. And Ron''s income and expenditures are p, and q, respectively. Harry''s saving = x – y and his proportion of saving = (x – y)/x = 1 – y/x. Ron''s saving = p – q and his proportion of saving = (p – q)/p = 1 – q/p. ...”
December 17, 2018
Jay@ManhattanReview posted a reply to If a certain culture of bacteria increases by a constant in the Data Sufficiency forum
“Let''s take each statement one by one. 1) x = 10^y => 10,000 = 10^y => y = 4 minutes. Sufficient. 2) In two minutes, the culture will increase to one hundred times its original size. => Rate = 100^(1/2) = 10 times per minute Thus, for the culture to increase 10,000 times (= ...”
December 17, 2018
Jay@ManhattanReview posted a reply to A restaurant serves only tacos and enchiladas. If 60% of all in the Data Sufficiency forum
“Say those who ordered tacos = T = 60%, those who ordered enchiladas = E and those who ordered both tacos and enchiladas = B Thus, we have 100 = T + E – B 100 = 60 + E – B E = 40 + B. We have to get the value of E. Let''s take each statement one by one. (1) Half of those who ...”
December 17, 2018
Jay@ManhattanReview posted a reply to A set consists of n consecutive integers in which the smalle in the Data Sufficiency forum
“Let''s take each statement one by one. (1) When one of the numbers is removed from the set, the average of the remaining numbers in the set is 15. Say the number removed is x. Thus, x + sum of the remaining (n – 1) numbers = Sum of n numbers => x + 15(x – 1) = n(n + 1)/2 2x = ...”
December 17, 2018
Jay@ManhattanReview posted a reply to If a, b & c are integers, is abc odd? in the Data Sufficiency forum
“For abc to be odd, each of a, b and c must be odd. Even if only one of then is even, abc is even. Question rephrased: Is each of a, b and c odd? (1) ab is odd. c and be even or odd, making abc even or odd. Insufficient. (2) bc is odd. a and be even or odd, making abc even or odd. ...”
December 17, 2018
Jay@ManhattanReview posted a reply to At the beginning of the year, the Finance Committee and the in the Data Sufficiency forum
“We know that the number of members in the finance committee and in planning committee are n, each. At the end of the year, the number of members in the finance committee and in planning committee would be (n – 5) and( n – 3), respectively. We have to determine how many members did the ...”
December 14, 2018
Jay@ManhattanReview posted a reply to Did Jeff record more sales revenue this month than Dan did? in the Data Sufficiency forum
“Another approach: We need to determine whether Jeff recorded more sales revenue this month than Dan. Say Jeff''s sales revenue = $J and Dan''s sales revenue = $D. Question: Is J > D? Let''s take each statement one by one. We already know that each statement alone is not sufficient. ...”
December 14, 2018
Jay@ManhattanReview posted a reply to Did Jeff record more sales revenue this month than Dan did? in the Data Sufficiency forum
“We need to determine whether Jeff recorded more sales revenue this month than Dan. Let''s take each statement one by one. 1) Jeff earned 20% more in sales commissions this month than Dan did. Given that Jeff earned 20% more in sales commissions this month than Dan did does not mean that ...”
December 14, 2018
Jay@ManhattanReview posted a reply to How many 4-letter words can be formed using the alphabets of in the Problem Solving forum
“The word ENGLISH has 7 alphabets with no alphabet being repeated. Since the two alphabets, G and L are already chosen, we are left with only two alphabets to be chosen. The number of ways to select two alphabets = 5C2 = 5.4 / 1.2 = 10 Let club G and L as one alphabet. So, we have three ...”
December 12, 2018
Jay@ManhattanReview posted a reply to A car overtakes a goods train, wich is 400 m long and in the Problem Solving forum
“We must assume that the length of the car is negligible. Say the speed of the car is x kmph. Since it is given that the car overtakes the first goods train, the relative speed of the car = x – 36 Time taken to overtake the goods train = (400/1000) / (x – 36) = 8/3600 x = 216 kmph ...”
December 12, 2018
Jay@ManhattanReview posted a reply to Machines A, B and C produce identical balls at their in the Data Sufficiency forum
“Say Machines A, B and C, working individually, produce the same batch of balls in a, b, and c hours. Given that machines A and B operating simultaneously can produce a batch of balls in 4 hours and 48 minutes = 24/5 hours Thus, as per the information, we have, 1/a + 1/b = 1/(24/5) => ...”
December 12, 2018
Jay@ManhattanReview posted a reply to Of the N books on a table, some are English and the rest are in the Data Sufficiency forum
“Say the there are x numbers of English books; thus, there are N – x numbers of Bangla books. We have to get the value of N. Let''s take each statement one by one. 1) If 1 English book was removed from the N books, 1/5 of the remaining books would be English. => Numbers of English ...”
December 12, 2018
Jay@ManhattanReview posted a reply to Each person attending a fund-raising party for a certain clu in the Data Sufficiency forum
“The question is not transcripted correctly. In Statement 2, ''more'' should be there for ''less.'' Say the admission fee is $x per person and n number of people attended the party. Thus, total admission fee = $xn We have to get the value of n. Let''s take each statement one by one. ...”
December 11, 2018
Jay@ManhattanReview posted a reply to If x and y are positive integers and in the Data Sufficiency forum
“Given that x and y are positive integers and y = √(5 – x), we must 1 ≤ x ≤ 4 such that (5 – x) is a perfect square. Only two values of x qualify for the corresponding qualifying values of y. 1: x = 1 and y = 4; and 2: x = 4 and y = 1. Let''s take each statement one by one. 1) x > ...”
December 11, 2018
Jay@ManhattanReview posted a reply to The ratio of the marked price to the cost price of a mobile in the Problem Solving forum
“Hi, What is the source of the question? It does not seem to be a GMAT question. GMAT does not have ''can not be determined'' option; moreover, it is not transcripted well. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Warangal | Hyderabad | GRE Prep ...”
December 11, 2018
Jay@ManhattanReview posted a reply to If the ratio of the present age of Anna and Paula is 1 : 2, in the Problem Solving forum
“Say the present age of Anna and Paula are x and 2x, respectively. Thus, their ages 8 years ago would be (x – 8) and (2x – 8), respectively. Thus, the ratio of their ages after 8 years would be (x – 8) : (2x – 8). Note that x is a positive integer and is greater than 8. Note that ...”
December 11, 2018
Jay@ManhattanReview posted a reply to Tom drives from town A to town B, driving at a constant spee in the Problem Solving forum
“A -------------(60 mph)----------2d miles ------------B-----(x mph)-----d miles ------C Given the average speed from A to C = 36, we have Time take to cover the distance from A to C = (2d + d)/36 = d/12 hours Time take to cover the distance from A to B = (2d)/60 = d/30 hours Time take to ...”
December 10, 2018
Jay@ManhattanReview posted a reply to In the figure above, acr QRO is a semicircle. What is the in the Data Sufficiency forum
“We have to get the area of the circle with center O. Let''s take each statement one by one. 1) The area of the triangle PQO is 30. 1/2 * OP * OQ = 30 => R*2r = 60 => R*r = 30, wether OP = R = radius of the bigger circle and r = radius of the smaller circle We know that the area of ...”
December 10, 2018
Jay@ManhattanReview posted a reply to The sequence a(1), a(2), a(3), ... a(n) of n integers is suc in the Data Sufficiency forum
“From the given information, we have a(1) = 1; a(2) = –a(1) = –1; a(3) = 3; a(4) = –a(3) = –3; a(5) = 5; a(6) = –a(5) = –5 ... We see that if the number terms is even, the sum of the terms = 0. Take for example, the sum of 1 + (–1) + 3 + (–3) = 0. However, if the number ...”
December 10, 2018
Jay@ManhattanReview posted a reply to At what speed was Erik running when he was at the halfway po in the Data Sufficiency forum
“We are asked to find out Erik''s speed when he was at the halfway point of his route. Note that his speed may vary through his route many times. Let''s take each statement one by one. 1. Erik''s route was 10 miles long and took him 2 hours to complete. From this data, we can compute Erik''s ...”
December 10, 2018
Jay@ManhattanReview posted a reply to Line DB divides Rectangle ABCD into two equal triangles. Is in the Data Sufficiency forum
“Needless to say that each statement alone is not sufficient. Combining both the statements: Case 1: Say AB = 1 and AD = 2, then we have /_A = 90º, and angle B can be determined. Let''s not calculate it as of now. Case 2: Say DB = 2 and AD = 1, then we have /_A = 90º, and angle B can be ...”
December 10, 2018
Jay@ManhattanReview posted a reply to Is the perimeter of triangle ABC greater than 12 cm? in the Data Sufficiency forum
“Say the three sides are a, b and c. Thus, perimeter = a + b + c. We have to ascertain whether a + b + c > 12. Let''s take each statement one by one. 1) One side of triangle ABC measures 6 cm. Note that the sum of any two sides is greater than the third side. Say a = 6, thus, b ...”
December 10, 2018
Jay@ManhattanReview posted a reply to Three photographers, Lisa, Mike and Norm, take photos of a w in the Problem Solving forum
“Say the number of photos Lisa, Mike and Norm, take are L, M, and N, respectively. Given the total of Lisa and Mikes photos is 50 less than the sum of Mike''s and Norms, we have L + M = M + N – 50 L = N – 50 ---(1) Given Norms photos number 10 more than twice the number of Lisa''s ...”
December 9, 2018
Jay@ManhattanReview posted a reply to When the positive number a is rounded to the nearest tenth, in the Data Sufficiency forum
“Say, a = x.yz, where x is units'' digit, y is tenth digit, and z is hundredth digit and b = x.p, where x is units'' digit, and p is tenth digit (p is either y or y + 1) We have to get the value of y. Let''s take each statement one by one. (1) When a is rounded to the nearest integer, ...”
December 8, 2018
Jay@ManhattanReview posted a reply to Which of the following equations is satisfied by x=1+√2? in the Problem Solving forum
“Since the options are quadratic equations and x = 1 + √2 is a linear equation, we must find a way to convert into a quadratic equation such that we have a term with x. So, we have x = 1 + √2 => x – 1 = √2 Squaring both the sides, we get (x – 1)^2 = (√2)^2 x^2 – 2x + 1 ...”
December 7, 2018
Jay@ManhattanReview posted a reply to Sofia will attend a sequence of daily training sessions for in the Data Sufficiency forum
“As per the information: Say she has 7 days of training sessions: Thus, the order of the number of sessions would be 2, 2, 2, 2, 2, 2, (1 or 2) The number of left to be attended at the end of her third day = 2 + 2 + 2 + (1 or 2) = 7 or 8 So, the answer would depend on two information: 1. ...”
December 7, 2018
Jay@ManhattanReview posted a reply to In Jefferson School, 300 students study French or Spanish or in the Data Sufficiency forum
“Say # of students who study only French = F; # of students who study only Spanish = S; # of students who study both French and Spanish = B Thus, we have 300 = F + B + S Given that 100 of these students do not study French, we have S = 100. Thus, from 300 = F + B + S, we have F + B ...”
December 7, 2018
Jay@ManhattanReview posted a reply to In a certain game only one player can win and only one playe in the Data Sufficiency forum
“Probability that Katelyn wins at least one of the 3 games = 1 – (Probability that Katelyn loses all the 3 games) = 1 – (Probability that either James or Austin wins all the 3 games) Let''s take each statement one by one. (1) The probability that either James or Austin wins the game ...”
December 7, 2018
Jay@ManhattanReview posted a reply to If w, x, and y are consecutive odd positive integers and w & in the Problem Solving forum
“An odd positive integer can be represented as 2x + 1, where x is a non-negative integer Thus, we have w = 2x + 1; x = 2x + 3; and y = 2x + 5 Thus, y – x – w = 2x + 5 – 2x – 3 – 2x – 1 = 1 – 2x y – x – w = 1 – 2x We may plug-in x = 0, 1, 2, 3, etc. in 1 – 2x to ...”
December 5, 2018
Jay@ManhattanReview posted a reply to In a certain company, 25% of the women and 17% of the men in the Data Sufficiency forum
“Given there are M numbers of male employees, we have (600 – M) numbers of female employees. Thus, total number of employees who participated in the program = 17% of M + 25% of (600 – M) = 0.17M + 150 – 0.25M = 150 – 0.08M We have to get the value of M. Let''s take each ...”
December 5, 2018
Jay@ManhattanReview posted a reply to If a, b, and c are positive integers, what is the remainder in the Data Sufficiency forum
“Note that each statement alone is not sufficient, so taking both the statements together. We have to find out the remainder when a – b is divided by 6. a – b = c^3 – (c – 2)^3 = c^3 – C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan ...”
December 5, 2018
Jay@ManhattanReview posted a reply to An animal shelter began the day Tuesday with a ratio of 5 ca in the Data Sufficiency forum
“It was already asked by you only. Pl. see here: https://www.beatthegmat.com/an-animal-shelter-began-the-day-tuesday-with-a-ratio-of-5-t303993.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mumbai | Hyderabad | GRE Prep Warangal | ...”
December 5, 2018
Jay@ManhattanReview posted a reply to Is quadrilateral ABCD a square? in the Data Sufficiency forum
“Question: Is quadrilateral ABCD a square? Let''s take each statement one by one. (1) A = B = C = 90º A quadrilateral has four angles. Since each of the three angles is equal to 90º, we have the fourth angle /_D = 90º A quadrilateral having four equal angles can be either a rectangle ...”
December 4, 2018
Jay@ManhattanReview posted a reply to If n is a positive integer, which of the following could be in the Problem Solving forum
“Among the five options, we have to find out the possible value of (n+1)^3 – n^3. So, we have (n+1)^3 – n^3 = n^3 + 3n(n + 1) + 1 – n^3 = C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mumbai | Hyderabad | GRE Prep Warangal | ...”
December 4, 2018
Jay@ManhattanReview posted a reply to Is x + 1/x > 2? in the Data Sufficiency forum
“For x + 1/x to be greater than 2, x must be a positive number. We have x + 1/x > 2 => (x^2 + 1)/x > 2 => x^2 + 1 > 2x => x^2 – 2x + 1 > 0 => (x – 1)^2 > 0 We see that except for x = 1, (x – 1)^2 is a positive number. Thus, x ≠ 1. So, two conditions ...”
December 4, 2018
Jay@ManhattanReview posted a reply to If s and t are two different numbers on the number line, is in the Data Sufficiency forum
“Given: s and t are two different numbers on the number line. => s ≠ t Question: Is s + t = 0 ? Let''s take each statement one by one. (1) Distance between s and 0 is the same as distance between t and 0. There can be two possibilities: 1. s = t; however, this is not possible ...”
December 4, 2018
Jay@ManhattanReview posted a reply to Between the first day of May and last day in June, the price in the Problem Solving forum
“Say, At the begging of the first day of May, the prices of Melange and Blue were $x and $y, respectively. Price of Melange at the end of June: 1. When the price decreased: new price = x – 20% of x = 0.8x; 2. When the price increased: new price = 0.8x + 50% of 0.8x = 1.2x Price of Blue ...”
December 3, 2018
Jay@ManhattanReview posted a reply to If 320 people attended the wedding and 200 attendees drank in the Data Sufficiency forum
“Say, T = Total number of people who attended the wedding = 320; W = Total number of people who drank ONLY wine; R = Total number of people who drank ONLY beer; B = Total number of people who drank beer as well as wine; N = Total number of people who drank neither beer nor wine => T = W ...”
December 3, 2018
Jay@ManhattanReview posted a reply to The point A, B, C, and D are on the number line, not in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The distance between C and A is the same as the distance between C and B. Case 1: A-----------9-----------C-----------8---------D--1--B; BD = 1 Case 2: A--1--D----------8-----------C-----------9---------B; BD = 17 No unique value of BD. ...”
December 3, 2018
Jay@ManhattanReview posted a reply to Last Friday a certain shop sold 3/4 of the sweaters in its in the Data Sufficiency forum
“Say the inventory of sweaters in the shop on last Friday was x, thus 3x/4 numbers of sweaters were sold. Total revenue last Friday from the sale of this sweaters = 3x/4 * 20 = 15x. If we get the value of x, we get the answer. Question rephrased: What''s the value of x, the inventory of ...”
December 3, 2018
Jay@ManhattanReview posted a reply to Is the positive integer p a multiple of 50? in the Data Sufficiency forum
“Question: Is the positive integer p a multiple of 50? Let''s take each statement one by one. (1) p is a multiple of 10. Case 1: If p = 50, the answer is Yes. Case 2: If p = 10, the answer is No. No unique answer. Insufficient. (2) p is a multiple of 5. Case 1: If p = 50, the ...”
December 2, 2018
Jay@ManhattanReview posted a reply to If x is a positive integer, is x a prime integer? in the Data Sufficiency forum
“Given: x is a positive integer. Question: Is x a prime integer? Let''s take each statement one by one. (1) x + 1 is a prime number. Case 1: Say x = 1 (non-prime), then x + 1 = 2 is a prime number. The answer is No. Case 2: Say x = 2 (Prime), then x + 1 = 3 is a prime number. The answer ...”
December 2, 2018
Jay@ManhattanReview posted a reply to A certain bookstore, each notepad costs x dollars and each in the Data Sufficiency forum
“We have 5x + 3y ≤ 10. We have to determine whether 4x + 4y ≤ 10 or x + y ≤ 2.5 Question: Is x + y ≤ 2.5? When we sacrifice x for y in the inequality 5x + 3y ≤ 10, we get 4x + 4y ≤ 10. Thus, for the inequality 4x + 4y ≤ 10 to be true, we must have x ≥ y; otherwise, we cannot ...”
December 2, 2018
Jay@ManhattanReview posted a reply to At a graduation ceremony, some students earned bachelors in in the Data Sufficiency forum
“Say, # of students who earned degrees in Art and Science = T = 200; # of students who earned degree ONLY in Science = S; # of students who earned degree ONLY in Arts = A; # of students who earned degree in both Art and Science = B => # of students who earned degree in Science = S + B ...”
December 2, 2018
Jay@ManhattanReview posted a reply to A box contains red and blue balls only. If there are 8 balls in the Data Sufficiency forum
“Let''s take each statement one by one. Say there are n red balls; thus, there are (8 – n) blue balls. We have to find out the value of n. 1) If two balls are randomly selected without replacement, the probability that both balls are red is 5/14. => n/8 * (n – 1)/7 = 5/14 n(n – ...”
November 29, 2018
Jay@ManhattanReview posted a reply to Eight consecutive integers are selected from the integers 1 in the Data Sufficiency forum
“Say, the eight consecutive integers are n, (n + 1), (n + 2), (n + 3), (n + 4), (n + 5), (n + 6), (n + 7), where n + 7 ≤ 50 We have to get the sum when the eight consecutive integers are divided by x. Let''s take each statement one by one. 1) The remainder when the largest of the ...”
November 29, 2018
Jay@ManhattanReview posted a reply to If n is a positive integer, is √17n an integer? in the Data Sufficiency forum
“Given: n is a positive integer. We have to determine whether √17n an integer. √(17n) would be an integer is n = 17m^2, where m is a positive integer Question: Is n = 17m^2, where m is a positive integer? Let''s take each statement one by one. 1) 68n is the square of an integer. ...”
November 29, 2018
Jay@ManhattanReview posted a reply to If 25% of the employees at a firm did not take a vacation in the Data Sufficiency forum
“Let''s take each statement one by one. (1) Only 1 out of every 3 employees who took a vacation last year received a promotion. Pl. refer to the following image. https://i.postimg.cc/LJcYfqCR/Stat1.png (2) The number of employees who took a vacation but did not get a promotion was 500% of ...”
November 29, 2018
Jay@ManhattanReview posted a reply to Of the 4,800 voters who voted for or against Resolution K, in the Data Sufficiency forum
“We have # of Dems voted (For + Against) = 1800; # of Reps voted (For + Against) = 3000 Question: What was the total number of female voters who voted for? Let''s take each statement one by one. 1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K. # of Dems ...”
November 28, 2018
Jay@ManhattanReview posted a reply to Is triangle ABC obtuse angled? in the Data Sufficiency forum
“Question: Is triangle ABC obtuse angled? Let''s take each statement one by one. (1) a^2 + b^2 > c^2 Case 1: Say an obtuse-angled triangle has sides: a = c = 2 and b = 3. Since for a right-angled triangle, the hypotenuse would be 2√2 and b = 3 > 2√2, the triangle with sides 2, 2, ...”
November 28, 2018
Jay@ManhattanReview posted a reply to What is the value of (2^x + 2^x)/2^y ? in the Data Sufficiency forum
“(2^x + 2^x)/2^y = 2*2^x /2^y = 2^(x – 1)/2^y = 2^(x – y +1) If we get the value of x and y or (x – y), we get the answer. Let''s take each statement one by one. (1) x – y = 8 Sufficient. We have the value of x – y. (2) x/y = –3 Can''t get the unique values of x and y. ...”
November 28, 2018
Jay@ManhattanReview posted a reply to A company accountant estimates that airfares next year for in the Problem Solving forum
“Total spending next year = 9900 + 20% of 9900 + 13000 + 10% of 13000 = 120% of 9900 + 110% of 13000 < ~ 1.2*10000 + 1.1*13000 < ~ 12000 + 14300 < ~26300 The current answer must be less than $26300. The closest to $26300 is $26180. Note that $22,830 is way too less than 26300. The ...”
November 28, 2018
Jay@ManhattanReview posted a reply to In the xy-coordinate system, rectangle ABCD is inscribed in the Problem Solving forum
“Pl. see the image which is self-explanatory. https://i.postimg.cc/WF2FT1TV/Circel.png Given that the equation of the circle is x^2 + y^2 = 25, we have the radius of the circle = √25 = 5 and the coordinate of the center of the circle = (0, 0). Thus, AC = diameter = 10. Area of the ...”
November 27, 2018
Jay@ManhattanReview posted a reply to For any integers a, b, c, and d, sechigh(a, b, c, d) is the in the Data Sufficiency forum
“Given: sechigh(a, b, c, d) is the second highest integer when the integers are placed in an ordered list For example 1. sechigh(2, 5, 4, 6) = sechigh(2, 4, 5, 6) = 5 2. sechigh(6, 5, 3, 6) = sechigh(3, 5, 6, 6) = 6 We have to determine the value of sechigh(6, 7, 11, y). Question: We ...”
November 27, 2018
Jay@ManhattanReview posted a reply to Is b even? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) a/b is even. Note that Even/Even and Even by Odd can be even. Case 1: Say a = 4 and b = 2 (even), then a/b = 4/2 = 2 (even); the answer is Yes. Case 2: Say a = 6 and b = 3 (odd), then a/b = 6/3 = 2 (even); the answer is No. No unique answer. ...”
November 27, 2018
Jay@ManhattanReview posted a reply to If x and y are integers and 2 < x < y, does y = 16 ? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The GCF of X and Y is 2. Case 1: Say x = 2 and y = 16; we have GCF of x and y = 2, and y = 16. The answer is Yes. Case 2: Say x = 2 and y = 32; we have GCF of x and y = 2, and y ≠ 16. The answer is No. No unique answer.Insufficient. (2) The ...”
November 27, 2018
Jay@ManhattanReview posted a reply to Is x^3-4x>0? in the Data Sufficiency forum
“We have x^3 – 4x > 0 => Is x^3 > 4x? Note that we cannot cancel x from both the sides since we do not know whether x is positive. Let''s take each statement one by one. 1) x > 2 Note that at x = 2, we have x^3 = 4x => 2^3 = 2^3. As x takes up greater than 2 values, LHS ...”
November 25, 2018
Jay@ManhattanReview posted a reply to If Juan had a doctor's appointment on a certain day, was the in the Data Sufficiency forum
“Let''s take each statement one by one. (1) Exactly 60 hours before the appointment, it was Monday. 60 hours means 2.5 days. Case 1: Say 60 hours before the appointment is Monday 12:00 am (End of Sunday and Start of Monday) Thus, Monday 12:00 am + 2.5 days = Wednesday 12:00 pm (Wednesday ...”
November 25, 2018
Jay@ManhattanReview posted a reply to If x and y are nonnegative integers, what is the value of y? in the Data Sufficiency forum
“Given x and y are nonnegative integers, we have x: {0, 1, 2, 3, ...} and y: {0, 1, 2, 3, ...} Question: What is the value of y? Let''s take each statement one by one. (1) 3^x = 5^y Given x and y are integers, the only value possible for x and y for 3^x = 5^y to be true is x = y = 0. ...”
November 25, 2018
Jay@ManhattanReview posted a reply to The Coen family consists of a father, a mother, two children in the Problem Solving forum
“Since the father insists of standing by his woman, let''s consider them as one unit. So, there are 4 members now (Father-Mother), 2 children and a dog. The number of ways, 4 members can stand in a row = 4! = 24 Note that upon considering that the father insists of standing by his woman, we did ...”
November 24, 2018
Jay@ManhattanReview posted a reply to Twelve identical machines, running continuously at the same in the Problem Solving forum
“It is given that currently, 12 machines complete the work in 8 days and we want the work to be completed within 8 – 2 = 6 days. Since the number of days are reduced by a factor 6/8 = 3/4, we need a greater number of machines, i.e., a total of 12*(4/3) = 16 machines. Thus, the number of ...”
November 24, 2018
Jay@ManhattanReview posted a reply to Every object in a box is either a sphere or a cube, and ever in the Data Sufficiency forum
“This one is already answered. Pl. see here https://www.beatthegmat.com/every-object-in-a-box-is-either-a-sphere-or-a-cube-t295878.html -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Dilsukhnagar | Hyderabad GMAT Prep | Bangalore GMAT Courses | Kukatpally GRE ...”
November 24, 2018
Jay@ManhattanReview posted a reply to Rasheed bought two kinds of candy bars, chocolate and toffee in the Data Sufficiency forum
“Say Rasheed bought C numbers of chocolate bars and T numbers of toffee bars. We have to find out the value of C. Let''s take each statement one by one. (1) Rasheed bought 1 fewer package of chocolate bars than toffee bars. C = T – 1 ---(1) Can''t get the value of C. Insufficient. ...”
November 24, 2018
Jay@ManhattanReview posted a reply to A retailer sells only radios and clocks. If she currently in the Problem Solving forum
“Say there are x radios and y clocks. Thus, we have x + y = 44. We have to get the value of x. Let''s take each statement one by one. 1) The retailer has more than 28 radios in inventory. x > 28. But we can''t get the unique value of x. Insufficient. 2) The retailer has less than ...”
November 23, 2018
Jay@ManhattanReview posted a reply to In the figure above, lines k1 and k2 are parallel to each in the Problem Solving forum
“In the triangle enclosed by angles x, y and z, we have angles: (180 – x), y, and (180 – z). Thus, the sum of all the three angles of the triangle = (180 – x) + y + (180 – z) = 180 => x + y + z = 180. Question: What''s the value of x? Let''s take each statement one by one. ...”
November 23, 2018
Jay@ManhattanReview posted a reply to Company X has exactly two product lines and no other sources in the Data Sufficiency forum
“Say consumer product line revenue = $x and machine parts line revenue = $y Thus, increase or decrease in revenue = k% of x – k% of y = k% of (x – y) If x > y or x < y, the answer is Yes. If x = y, the answer is No. Question rephrase: Is x = y? Let''s take each statement one by ...”
November 23, 2018
Jay@ManhattanReview posted a reply to A drawer contains 12 socks, of which 8 are black and 4 are in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The socks that remain in the drawer have a ratio of 2 black to 1 white. Say the out of the 3 removed socks, x were black, thus, (3 – x) were white. Number of black socks (now) = 8 – x; Number of white socks (now) = 4 – (3– x) = 1 + x; ...”
November 23, 2018
Jay@ManhattanReview posted a reply to The figure above represents the floor plan of an art gallery in the Data Sufficiency forum
“The figure above represents the floor plan of an art gallery that has a lobby and 18 rooms. If Lisa goes from the lobby into room A at the same time that Paul goes from the lobby into room R, and each goes through all of the rooms in succession, entering by one door and exiting by the other, which ...”
November 23, 2018
Jay@ManhattanReview posted a reply to Six countries in a certain region sent a total of 75 in the Data Sufficiency forum
“Given: > Total number of reps from 6 countries = 75; > Country A sent the second greatest number of reps Question: Did Country A send at least 10 reps? Let''s take each statement one by one. (1) One of the six countries sent 41 representatives to the Congress. Since 41 > ...”
November 22, 2018
Jay@ManhattanReview posted a reply to Currenty, there are 40 cars in each row of the lot at a car in the Data Sufficiency forum
“Say currently there are x number of rows, thus, 40x cars are parked. Say, after the new arrangement, there are y number of rows such that y < x (given), thus, 30y cars can be parked. We have 40x > 30y => 4x > 3y We have to get the value of 30y. Let''s take each statement one by ...”
November 22, 2018
Jay@ManhattanReview posted a reply to Every month, Harriet draws three paychecks from three jobs. in the Data Sufficiency forum
“Say the greatest paycheck is $x, and the other two paychecks are $y and $z, respectively. Tax on the greatest paycheck = 35% of x = 35%x; Tax on one of the smaller paycheck = 25% of y = 25%y; Tax on another of the smaller paycheck = 25% of z = 25%z We have to determine whether 35%x + 25%y ...”
November 22, 2018
Jay@ManhattanReview posted a reply to interest in the Data Sufficiency forum
“What''s the source of the question? It is not transcripted well. Also, pl. write the correct answer. Not to forget to mask it. We have the unique answer is, we get, one of the following as conclusion. 1. n > 4; the answer is yes. 2. n ≤ 4; the answer is no. Say n = 4. In n = 4 ...”
November 22, 2018
Jay@ManhattanReview posted a reply to Which of the following is NOT a point on the circle of in the Problem Solving forum
“Distance formula: Note that distance between two points whose coordinates are (x, y) and (a, b) is given by = √E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Madhapur | Hyderabad GMAT Prep | Bangalore GMAT Courses | Himayatnagar ...”
November 22, 2018
Jay@ManhattanReview posted a reply to In a certain toy store, 20% of the international branded in the Problem Solving forum
“For Premium category toys: 20% of the international branded toys = 10% of the total number of toys => International branded toys / Total number of toys = 10%/20% = 1/2 => International branded toys are 50% of the total number of toys. The correct answer: D Hope this helps! ...”
November 21, 2018
Jay@ManhattanReview posted a reply to In the given diagram, the circle touches the y-axis at the in the Problem Solving forum
“To get the area of the circle, we need the value of its radius. Since the circle touches Y-axis at point K, Y-axis would be a tangent to the circle and CK would be the radius. Thus, ∆OCK is a right-angled triangle with OK is its bases and CK is its altitude (height). Thus, area of ∆OCK ...”
November 21, 2018
Jay@ManhattanReview posted a reply to A foot race will be held on Saturday. How many different in the Data Sufficiency forum
“Certainly, each statement alone is not sufficient as in Statement 1, we do not know the number of runners and in Statement 2, we do not know the number of places. Combining the two statements works. > Number of ways the 1st place can be earned = 10; > Number of ways the 2nd place can ...”
November 21, 2018
Jay@ManhattanReview posted a reply to If a store sold 30 more televisions this month than last in the Data Sufficiency forum
“Percentage increase in the number of TVs sold this month over the last month is given by D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mehdipatnam | Hyderabad GMAT Prep | Bangalore GMAT Courses | Dilsukhnagar GRE Prep | and many ...”
November 21, 2018
Jay@ManhattanReview posted a reply to In a certain two-digit integer, the ratio of the units in the Data Sufficiency forum
“Given for the two-digit integer, the ratio of the units digit to the tens digit is 2 to 3, there are three possibilities. The number can be one of the following: 32; 64; and 96. Let''s take each statement one by one. 1) The tens digit is 3 more than the units digit. Only 96 qualifies. ...”
November 20, 2018
Jay@ManhattanReview posted a reply to A number when divided by 4 and 5 leaves remainders 1 and 4 in the Problem Solving forum
“Say the number is N, when N is divided by 4, the quotient is p and the remainder is 1, and when N is divided by 5, the quotient is q and the remainder is 4. Thus, N = 4p + 1 and N = 5q + 4 => 4p + 1 = 5q + 4 4p = 5q + 3 p = (5q + 3)/4 = 4q/4 + (q + 3)/4 = q + (q + 3)/4 Since p ...”
November 20, 2018
Jay@ManhattanReview posted a reply to When sold at a 40% discount, a sweater nets the merchant a in the Problem Solving forum
“Say the cost price = $x and the markup price = $y. After the discount of 40%, the selling price = (1 – 40%) of y = 0.6y Profit = 20% of x = 0.2x Thus, Selling price – Cost price = Profit 0.6y – x = 0.2x y = 2x y = 200% of x The sweater is marked up by 100% from wholesale ...”
November 20, 2018
Jay@ManhattanReview posted a reply to A woman has seven cookies - four chocolate chip and three in the Problem Solving forum
“Since there are 7 cookies and they are to be distributed among 6 friends, one cookie will be left. Let''s assume that the leftover cookie is eaten by the woman herself. She can eat of any type: Chocolate or Oatmeal. Case 1: Say Deborah and Kim eat Chocolate cookies. Thus, we have 2 Chocolate ...”
November 20, 2018
Jay@ManhattanReview posted a reply to Fraction in the Problem Solving forum
“Since we have to deal with 1/3 and 1/4, let''s consider that the revenue = 3*4 = $12 => Revenue from foreign clients = 1/3 of 12 = 4 => Remaining revenue = 12 – 4 = 8 => Revenue from out-of-state clients = 1/4 of 8 = 2 => Revenue from in-state clients = 8 – 2 = 6 Thus, ...”
November 19, 2018
Jay@ManhattanReview posted a reply to In the xy-plane, point O is located at the origin, point A in the Data Sufficiency forum
“Pl. see the image below, which is self-explanatory. https://i.postimg.cc/bdWRjvkx/Picture1.png https://i.postimg.cc/LnP34M3r/Picture2.png The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Madhapur | Hyderabad ...”
November 19, 2018
Jay@ManhattanReview posted a reply to If Jay has 99 problems, in how many ways can he select k of in the Data Sufficiency forum
“We have to find out the value of 99Ck. If we know the unique value of k, we get the answer. Question: What''s the value of k? Let''s take each statement one by one. (1) Jay can select k+1 of his problems in 3764376 different ways. => 99C(k+1) = 3764376 Though this is a big number, it ...”
November 18, 2018
Jay@ManhattanReview posted a reply to Planning is in progress for a fenced, rectangular playground in the Problem Solving forum
“Say the length of the playground is a meters and the breath is b meters. Thus, Area = ab = 1600 (given) and Perimeter = 2(a + b) We have to minimize the value of (a + b), given that ab = 1600 (constant) Note that If the product of two numbers is a constant, their sum would be ...”
November 16, 2018
Jay@ManhattanReview posted a reply to Is |x|/x equal to -1? in the Data Sufficiency forum
“Looking at the fraction |x|/x, we see that the numerator |x| is a positive number, thus for |x|/x to be equal to –1, x must be negative. Let''s take each statement one by one. 1) x > 0 => x is positive. Thus, |x|/x equal to 1 ≠ –1. The answer is no. Unique answer. Sufficient. ...”
November 16, 2018
Jay@ManhattanReview posted a reply to Is the 5-digit positive integer abc000 divisible by 24? in the Data Sufficiency forum
“We have to ascertain whether abc000 is divisible by 24. Factors of 24 = 3*8 = 3*2^3 So, if abc000 is divisible by 24, it must be divisible by 3 as well as 2^3. Let''s first check the rule for the divisibility of a number by 3. A number is divisible by 3 if the sum of its digits is ...”
November 16, 2018
Jay@ManhattanReview posted a reply to A certain store will order 25 crates of apples. The apples in the Problem Solving forum
“Say the # of crates of McIntosh, Rome, and Winesap are x, y and z, respectively. Thus, x + y + z = 25 such that x > y and x > z. Note that there is no comparison given between y and z. Since we have to find out the least possible value of x, let''s assume that x = y = z, thus from x + ...”
November 15, 2018
Jay@ManhattanReview posted a reply to If a certain company purchased computers at $2000 each and in the Data Sufficiency forum
“Say the # of computers = x and the # of printers = y Thus, the total amount for the purchase of the computers and printers = 2000x + 300y We have to get the value of x. Let''s take each statement one by one. 1. More than three printers were purchased. Certainly insufficient. 2. ...”
November 15, 2018
Jay@ManhattanReview posted a reply to If x and y are unknown positive integers, is the mean of the in the Data Sufficiency forum
“Let''s take each statement one by one. 1) x + y = 7. Mean = (1 + 5 + 6 + 7 + x + y)/6 = (19 + x + y)/6 = (19 + 7)/6 = 4.33 To find out median, we must first arrange terms in an ascending order. The terms, excluding x and y are: 1, 5, 6, 7. Median, excluding x and y: 5.5 If one of ...”
November 15, 2018
Jay@ManhattanReview posted a reply to In single row of yellow, green and red colored tiles, every in the Data Sufficiency forum
“So, there can be few arrangements. Two such as given below 1: GYR | GYR |GYR |GYR |GYR |GYR |GYR |GYR | 2: GYRGGGGGGGGGGGGGGGGGGGGG Note that G not necessarily follows any tile. Let''s take each statement one by one. 1) The 18th tile in the row is not yellow. Let''s mark the color ...”
November 14, 2018
Jay@ManhattanReview posted a reply to A library bought b books for its collection. What was the in the Data Sufficiency forum
“The total amount of money required to buy the b = 40 books > 12.50*40. No unique answer. Insufficient. The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Begumpet | Hyderabad GMAT Prep | Bangalore GMAT Courses | ...”
November 14, 2018
Jay@ManhattanReview posted a reply to Dan took a 20-question multiple-choice test in psycology. in the Data Sufficiency forum
“Let''s take each statement one by one. 1) Dan answered fewer than 40 percent of the questions incorrectly. => # of incorrect qns < 40% of 20 = 8. => # of correct qns > (20 – 8 = 12). Sufficient. 2) Dan answered at least 25 percent of the questions incorrectly. => # of ...”
November 14, 2018
Jay@ManhattanReview posted a reply to At a certain company, a test was given to a group of men and in the Data Sufficiency forum
“Say > the average score of men = x; > the average score of women = y; > the number of men = m; > the number of women = w Thus, total score of the group = mx + wy Average score of the group = (mx + wy)/(m + w) = 80 We have to determine whether y > 85 Let''s take each ...”
November 14, 2018
Jay@ManhattanReview posted a reply to What are the angles of triangle XYZ? in the Data Sufficiency forum
“Pl. refer to the image below. https://i.postimg.cc/0zPZNZw6/S1-2.png https://i.postimg.cc/jww41FG1/S1-2.png The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Begumpet | Hyderabad GMAT Prep | Bangalore GMAT Courses ...”
November 14, 2018
Jay@ManhattanReview posted a reply to In a school election, Joan and Peter were the only candidate in the Data Sufficiency forum
“Say the total number of votes cast by Juniors = J and the total number of votes cast by Seniors = S # of votes Joan received = 390 + (J – 336) If we get the value of J, we get the answer. Let''s take each statement one by one. (1) Joan received 40% of the votes cast by seniors ...”
November 13, 2018
Jay@ManhattanReview posted a reply to In 1990 850 million movie tickets were sold in the United in the Data Sufficiency forum
“# of tickets bought by ppl over 50 years = 1/5 of 850 = 170 M # of tickets bought by ppl ≤ 50 yrs = 850 – 170 = 680 Question: Did people under the age of 20 buy more than 425 million movie tickets? Let''s take each statement one by one. (1) In 1990, people under the age of 20 bought ...”
November 13, 2018
Jay@ManhattanReview posted a reply to A store purchased 20 coats that each cost an equal amount in the Data Sufficiency forum
“Say the selling price of each coat is %y and the cost price is $x. Thus, gross profit on 20 coats = 20(y – x). We have to get the value of (y – x). Let''s take each statement one by one. (1) If the selling price per coat had been twice as much, the store’s gross profit on the 20 ...”
November 13, 2018
Jay@ManhattanReview posted a reply to A rectangle has sides x and y and diagonal z. What is the in the Data Sufficiency forum
“Needless to state that none of the statements alone can work; there are many possibilities when we consider that x, y, and z can be real numbers (not necessarily integers). (1) and (2) together You must remember a few Pythagorean triplets: {3, 4, 5}; {5, 12, 13}; {7, 24, 25}. We see that in ...”
November 8, 2018
Jay@ManhattanReview posted a reply to Is the three-digit number n less than 550? in the Data Sufficiency forum
“Given: n is a three-digit number. Question: Is n < 550? Let''s take each statement one by one. (1) The product of the digits in n is 30. 30 = 1*2*3*5 Case 1: Say n = 615. The answer is no. Case 2: Say n = 156. The answer is yes. No unique answer. Insufficient. (2) The sum of ...”
November 8, 2018
Jay@ManhattanReview posted a reply to The participants in a race consisted of 3 teams with 3 in the Data Sufficiency forum
“Given there are 6 teams with 3 3 runners on each team, we have 3*3 = 9 runners. Again given, the points awarded equal to 6 – n, where n = position of the runner in the race; and 1 ≤ n ≥ 5, only the first five positions will be awarded points. We know that all of the runners finished the ...”
November 8, 2018
Jay@ManhattanReview posted a reply to x is a two-digit integer and y is a three-digit integer that in the Data Sufficiency forum
“Given: x is a two-digit integer and y is a three-digit integer that is divisible by x, and z is the value of the quotient y/x. Question: Is the units digit of z greater than 3? Let''s take each statement one by one. (1) The units digit of x is 3. We have no information about y. ...”
November 6, 2018
Jay@ManhattanReview posted a reply to A cirlce is drawn within the interior of a rectangle. Does in the Data Sufficiency forum
“Given: A circle is drawn within the interior of a rectangle. Question: Does the circle occupy more than one-half of the rectangle''s area? Let''s take each statement one by one. 1) The rectangle length is more than twice its width. Note that if the length and the width of the rectangle ...”
November 6, 2018
Jay@ManhattanReview posted a reply to Which data set has the greater standard deviation, data set in the Data Sufficiency forum
“Certainly, each statement is not sufficient since each statement gives information about only one dataset. Combining the two statements, we get Case 1: Say dataset K: {3, 3} and dataset L: {9, 18} Standard deviation of dataset K = 0 since each element is the same; however, standard ...”
November 6, 2018
Jay@ManhattanReview posted a reply to A certain salesman's yearly income is determined by a base in the Data Sufficiency forum
“Given: Income = Base salary + Commision Question: Was the salesman''s commission larger than his base salary last year? Let''s take each statement one by one. 1) If the amount of the commission had been 30 percent higher, the salesman''s total income (salary plus commission) would have been ...”
November 6, 2018
Jay@ManhattanReview posted a reply to Is z equal to the median of the three positive integers, x, in the Data Sufficiency forum
“Given: x, y, and z are positive integers. Question: Is z equal to the median of x, y, and z? Let''s take each statement one by one. (1) x < y + z Case 1: Say x = y = z = 2. Median = 2 = z. The answer is Yes, z is the median of x, y, and z. Case 2: Say x = 2, y = 1, and z = 3. Median ...”
November 6, 2018
Jay@ManhattanReview posted a reply to If the sum of the three different numbers is 54, what is the in the Data Sufficiency forum
“Say the three different numbers are a, b and c such that a > b > c. Question: What''s the value of c? We have a + b + c = 54. Let''s take each statement one by one. 1) The largest number is twice the smallest number. => c = 2a Thus, a + b + c = 54 => a + b + 2a = 54 ...”
November 5, 2018
Jay@ManhattanReview posted a reply to Is the length of the diagonal of the rectangle bigger than in the Data Sufficiency forum
“Question: Is the length of the diagonal of the rectangle bigger than √6? Let''s take each statement one by one. 1) The shorter side of the rectangle is 2. Since the shorter side is 2, the longer side must be greater than 2. Assuming that both the sides are 2 each, thus, the length of ...”
November 5, 2018
Jay@ManhattanReview posted a reply to OG What is the value of integer n in the Data Sufficiency forum
“Question: What is the value of integer n? Let''s take each statement one by one. (1) n(n+1) = 6 n*(n+1) means that it is a product of two consecutive integers. One can quickly think of 2 and 3. So, n = 2. However, you must not consider that the two consecutive integers cannot be negatives. ...”
November 5, 2018
Jay@ManhattanReview posted a reply to If w, x, y and z are integers such that w/x and y/z are inte in the Data Sufficiency forum
“Given: w, x, y and z are integers such that w/x and y/z are integers. Question: Is (w/x + y/z) odd? Let''s take each statement one by one. (1) wx + yz is odd => Sum of two integers is odd. The sum of two integers can be odd if one of the integers is even and the other is odd. ...”
November 5, 2018
Jay@ManhattanReview posted a reply to Working alone, three persons P, Q, and R can do a certain in the Problem Solving forum
“Nice question The work will be completed in maximum time if only one among P, Q and R work; since R is the slowest, it is R who would complete the work in maximum time -- 15 hours. Now the computation of minimum time is tricky. The phrase, "at least 1 person must work" means that ...”
November 4, 2018
Jay@ManhattanReview posted a reply to An auto dealer sells each car at either $20,000 or $30,000. in the Data Sufficiency forum
“The correct answer is E. Given in Statement 2, "30 cars were marked up 30%," we cannot assume thus, as per Statement 1, "20 cars were sold for $20,000," 20 cars (= 50 – 30) sold for $20,000 were marked up 20%. The 30 cars marked up 30% may or may not include some or all ...”
November 2, 2018
Jay@ManhattanReview posted a reply to Six numbers are randomly selected and placed within a set. in the Data Sufficiency forum
“Say the six numbers arranged in ascending order are x, y, z, p, q, and r Since range = 16 => r = x + 16 Since Median = average of two middle-most terms, we have median = 6 = (z + p)/2 Note that z and p both cannot be 6 since if they each are 6, even if q and r are 7 each, we can''t have a ...”
November 2, 2018
Jay@ManhattanReview posted a reply to A post on a website gains a point if a user choose to in the Problem Solving forum
“Say the number of votes cast = x Thus, the number of upvotes cast = 60% of x = 0.6x; and the number of downvotes cast = 40% of x = 0.4x; total point = 0.6x –0.4x = 0.2x => 0.2x = 40 => x = 300 The correct answer: D Hope this helps! -Jay _________________ Manhattan ...”
November 2, 2018
Jay@ManhattanReview posted a reply to Barry walks from one end to the other of a 30-meter long in the Problem Solving forum
“Say the speed of Barry is x meters/second and the speed of the walkway is y meters/seconds When moving along the walkway, the speed of Barry = (x + y) m/s => Length of the walkways (distance traveled) by Barry = (x + y)*30 meters When moving in the opposite direction of the walkway, the ...”
November 2, 2018
Jay@ManhattanReview posted a reply to Is triangle ABC an acute angled triangle? 1) [m]c^2 < a^ in the Data Sufficiency forum
“Let''s take each statement one by one. 1) c^2 < a^2 + b^2, where a, b and c are sides of triangle ABC. => /_ACB < 90º and if /_ABC < 90º and /_BAC < 90º, the answer is Yes. However, if a^2 ≥ c^2 + b^2, we have /_BAC ≥ 90º, the answer is No. No unique answer. ...”
November 1, 2018
Jay@ManhattanReview posted a reply to Two teachers, Ms. Ames and Mr. Betancourt, each had N in the Data Sufficiency forum
“As per the information, we have N is a multiple of 24 and 18. Say, N/24 = p, where p is a positive integer; => N = 24p N/18 = p, where q is a positive integer; => N = 18q => 24p = 18q 4p = 3q => p = 3q/4 => q must be a multiple of 4 q: {4, 8, 12, 16, 20, ...} ...”
November 1, 2018
Jay@ManhattanReview posted a reply to A number of eggs dyed various colors were hidden for an egg in the Data Sufficiency forum
“Given: A number of eggs dyed various colors were hidden for an egg hunt. Question: How many eggs in total were hidden? Let''s take each statement one by one. 1) The number of red eggs hidden is the square of an integer, while the total number of eggs hidden is 24 times that integer. Say ...”
November 1, 2018
Jay@ManhattanReview posted a reply to A game at the state fair has a circular target with a radius in the Problem Solving forum
“Area of the circle = πr^2 = π*10^2 = 100π cm^2 Area of the square = 30*30 = 900 cm^2 Probability of hitting ONE dart within the circle = (Area of the circle) / (Area of the square) = 100π / 900 = π/9 Probability of hitting both the darts within the circle = π/9* π/9 = π^2/81 The ...”
October 31, 2018
Jay@ManhattanReview posted a reply to A football team averaged 35 points per game over the first in the Problem Solving forum
“Say the team played n games before the final game. Total points scored in n games = 35n Total points scored in (n + 1) games, incl. final game = 35n + 28 => Average score of (n + 1 ) games = (35n + 28) / (n + 1) (35n + 28) / (n + 1) = 34 (given) => n = 6 => n + 1 = 7. The ...”
October 31, 2018
Jay@ManhattanReview posted a reply to If p is a positive integer, is 2p + 1 prime? in the Data Sufficiency forum
“Given: p is a positive integer. Question: Is 2p + 1 prime? Let''s take each statement one by one. (1) p is prime. Case 1: Say p = 2, then 2P +1 = 5, a prime. The answer is Yes. Case 2: Say p = 7, then 2P +1 = 15, not a prime. The answer is No. No unique answer. Insufficient. (2) ...”
October 31, 2018
Jay@ManhattanReview posted a reply to S is a set of n consecutive positive integers. Is the mean in the Data Sufficiency forum
“Say the set of set of n consecutive positive integers is {x, (x + 1), (x + 2), (x + 3), ...} Case 1: If n is odd, then the set is, say, {x, (x + 1), (x + 2)}. Mean = x + 1 = a positive integer. Case 2: If n is even, then the set is, say, {x, (x + 1), (x + 2), (x + 3)}. Mean = D Hope this ...”
October 31, 2018
Jay@ManhattanReview posted a reply to Two pieces of fruit are selected out of a group of 8 pieces in the Data Sufficiency forum
“We have 8 pieces of fruit consisting only of apples and bananas. Say there are x numbers of apples; thus, there are (8 – x) numbers of bananas. Probability of selecting exactly 2 bananas = (8 – x)C2 / 8C2 = (8 – x)*(7 – x) / (8*7) Question rephrased: What''s the value of x? ...”
October 30, 2018
October 30, 2018
Jay@ManhattanReview posted a reply to The average weight of a class is x pounds. When a new in the Problem Solving forum
“Say there are n students in the class. Thus, the weight of n students = nx With the inclusion of new students, the weight of (n + 1) students = nx + 80 Average weight of (n + 1) students = (nx + 80) / (n + 1) => (nx + 80) / (n + 1) = n – 1 (given) => x – n = 81 ---(1) After ...”
October 30, 2018
Jay@ManhattanReview posted a reply to A certain basket contains 10 apples, 7 of which are red and in the Problem Solving forum
“We have 7 red and 3 green apples Probability that out of those 3, 2 will be red and 1 will be green = / (10C3) = D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Hyderabad GMAT Prep | Bangalore GMAT Courses | Kukatpally GMAT Prep ...”
October 30, 2018
Jay@ManhattanReview posted a reply to A certain lighthouse is a tall thin cylinder of brick, with in the Data Sufficiency forum
“Area of the brick siding of the lighthouse = πr^2h; where r = radius of the lighthouse and h = its height Let''s take each statement one by one. 1) The outer diameter of the brick portion of the lighthouse is 28 feet. => r = 28/2 = 14 feet. But we do not have h. Insufficient. 2) ...”
October 30, 2018
Jay@ManhattanReview posted a reply to Machines X and Y can work at their respective constant rates in the Data Sufficiency forum
“Say the rate of Machine X is x hours per unit and that of Machine Y is y hours per unit. Let''s take each statement one by one. (1) Machines X and Y, working together, complete a production order of the same size in two-thirds the time that machine Y, working alone, does. Part of work done ...”
October 30, 2018
Jay@ManhattanReview posted a reply to If the average (arithmetic mean) of 5 numbers is 20, what is in the Data Sufficiency forum
“Note that the average (arithmetic mean) of a set of numbers can neither be greater than the maximum number of the set nor be less than the minimum number of the set. Per Statement 1, we know that the minimum number among 5 is 20 and the average is also 20, it implies that all the five numbers ...”
October 29, 2018
Jay@ManhattanReview posted a reply to N is a two-digit number, whose tens digit is 9. If the units in the Data Sufficiency forum
“Say N = 9X, where X is the unit digit of N. Given: 1. Units digit of N^p is 6 and 2. Units digit of N^q is 4 Note that unit digits of N^p and N^q will be determined by the units'' digit of N, i.e the value of X. Since the unit digits of N^p and N^q are 6 and 4 (EVEN), X must be ...”
October 29, 2018
Jay@ManhattanReview posted a reply to A length of rope is cut into three different lengths. What in the Data Sufficiency forum
“Say the lengths of the three cut ropes are a, b, and c such that a > b > c. From (1), we have a + b = 6 and from (2), we have b + c = 3. We cannot find out the unique values of a, b or c. However, we can derive the following information about their lengths. 1. Since b + c = 3, we ...”
October 29, 2018
Jay@ManhattanReview posted a reply to If p is a positive integer and p2 has total 17 positive in the Problem Solving forum
“Let us first understand how to find out the number of factors of a number, say N. Say N = a^x*b^y*c^z...; where a, b and c are prime numbers and x, y and z are positive integers Note that the # of factors includes 1 and N, too. So, the # of factors of N = (x + 1)*(y + 1)*(z + 1)... ...”
October 29, 2018
Jay@ManhattanReview posted a reply to A framed picture is shown above. The frame, shown shaded, is in the Data Sufficiency forum
“Say the uniform width of the frame = a inches and the height of the frame = X inches Dimensions of the picture: Width = 6 – 2a and Height = X – 2a We have to get the values of (6 – 2a) and (X – 2a). Question rephrased: What''s the value of a and X? Let''s take each statement one ...”
October 27, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“The probability that Harvey will be paired with Jessica = 1/k; note that we do not need the value of n. Also, note that ≠ (1/k)*(1/k) = 1/k^2 Let''s look at this way: There are k girls who can be paired with Harvey (= k number of ways), out of which only one way (pairing with Jessica) is the ...”
October 27, 2018
Jay@ManhattanReview posted a reply to Rose grows two kinds of orchid plants, Phalaenopsises and in the Data Sufficiency forum
“Pl. refer to this image. https://i.postimg.cc/vx8fWhtb/Roes.png The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Hyderabad | Kukatpally | Bangalore | Anna Nagar | and many more... Schedule your free consultation with an ...”
October 27, 2018
Jay@ManhattanReview posted a reply to Ian has three pets: Barnum the cat, Bailey the cat, and in the Data Sufficiency forum
“To solve this question, it is important to assume that the ages are integers, else the answer is E. Since OA is A, the question-writer''s intent is that the ages are integers. Given: x*361 = 361,361 => x = 1001 = 1*1*1001 = 7*11*13 Since each pet is older than 1 year, x ≠ 1*1*1001. ...”
October 26, 2018
Jay@ManhattanReview posted a reply to During a week-long sale at a car dealership, the most number in the Data Sufficiency forum
“Given: Out of 7 days in the week, at least 2 cars sold per day and at the most 12 cars sold per day. Question: Was the average daily number of cars sold during that week more than 6? Let''s take each statement one by one. 1. During that week, the second smallest number of cars sold on any ...”
October 26, 2018
Jay@ManhattanReview posted a reply to If a and b are two positive numbers, what is the product of in the Data Sufficiency forum
“Note that the product of two numbers equals the product of their LCM and GCD. Thus, we need both the statements. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Hyderabad | Kukatpally | Bangalore | Anna Nagar | and many more... ...”
October 26, 2018
Jay@ManhattanReview posted a reply to Jazz and blues recordings accounted for 6 percent of the in the Data Sufficiency forum
“Revenue from the sales of jazz and blues recordings in 2000 = 6% of 840 = X; there is no need to calculate the value as of now. However, don''t assume that X is a variable, it as a constant. We have to the revenue from the sales of jazz and blues recordings in 1998. Let''s take each statement ...”
October 26, 2018
Jay@ManhattanReview posted a reply to When 900 is divided by positive integer d, the remainder is in the Data Sufficiency forum
“Let''s take each statement one by one. (1) r = 1 Given that when 900 is divided by positive integer d, the remainder is r = 1, we can conclude that (900 – 1) = 899 is a factor of d. Since we do not know anything about D and R, we cannot decide. Insufficient. (2) D = 23 => R < D ...”
October 25, 2018
Jay@ManhattanReview posted a reply to At a certain company, some of the employees have advanced in the Data Sufficiency forum
“Let''s assume the following. D = Percentage of people with advanced degrees and less than one year of experience. E = Percentage of people with no advanced degrees and with one year or more of work experience = 20%. B = Percentage of people with advanced degrees and with one year or more of ...”
October 25, 2018
Jay@ManhattanReview posted a reply to Tom drives from town A to town B, driving at a constant in the Problem Solving forum
“The situation is depicted below. A -------------------60 mph / 2D miles -----------------------B-----------x mph / D miles------------C Say the distance of BC = x miles, thus, the distance AB = 2x miles. Say the speed between BC is x miles. • Time taken to travel AC = 3D/36 = D/12 hours; ...”
October 25, 2018
Jay@ManhattanReview posted a reply to The table above shows the morning schedule for train X. in the Data Sufficiency forum
“From the given data about Train X, we know that Train X takes 8:10 – 7:08 = 1 hour and 2 minutes to reach Station T. Question: Did Juan arrive at station T on schedule? Question rephrased: Did Train X arrived at Station T at 8:10? Let''s take each statement one by one. 1. Juan arrived ...”
October 24, 2018
Jay@ManhattanReview posted a reply to In the coordinate geometry plane, region P is defined by all in the Data Sufficiency forum
“To test whether the point (a, b) lie within region P, we can plug in few test values of a and b in 3y + 12 > 2x. If we consistently find the inequality 3y + 12 > 2x is true or false but not sometimes true and sometime false, we get the answer. Let''s take each statement one by one. 1) 4b ...”
October 24, 2018
Jay@ManhattanReview posted a reply to What is the median number of employees assigned per project in the Data Sufficiency forum
“Say there are 20 employees. I assumed 20 instead of more intuitive 10 since 25% and 35% of 10 are not integers. We know that of a set, the median is the value of the middle-most number when the numbers in the set are arranged in an ascending or descending order. Say the number of employees ...”
October 24, 2018
Jay@ManhattanReview posted a reply to All attendees at a university gathering are faculty or in the Data Sufficiency forum
“There are a total of T attendees; out of which, there are F ONLY faculty members, A ONLY alumni and B both faculty members and alumni. Thus, we have T = F + A + B ---(1) We have to get the value of B. Let''s take each statement one by one. (1) 3/5 of the attendees are members of the ...”
October 23, 2018
Jay@ManhattanReview posted a reply to Three photographers , Lisa, Mike and Norm, take photos of a in the Problem Solving forum
“Say the number of photos taken by Lisa, Mike and Norm are l, m and n, respectively. Given, the total of Lisa and Mikes photos is 50 less than the sum of Mike''s and Norms, we have l + m = m + n – 50 => l = n –50 ---(1) Given, Norms photos number 10 more than twice the number of ...”
October 23, 2018
Jay@ManhattanReview posted a reply to Dataset W: –9, –3, 3, 9 Dataset X: 2, 4, 6, 8 Dataset Y: in the Problem Solving forum
“Note that the computation of standard deviation is not within the scope of the GMAT; however, its interpretation is within the scope. Standard deviation is a measure of how much far or close values of the dataset are to the arithmetic mean. Closer the values are to the mean, lesser is the ...”
October 22, 2018
Jay@ManhattanReview posted a reply to Clarissa will create her summer reading list by randomly in the Problem Solving forum
“Since the reading list lays importance to order of the books, we will apply Permutation and not Combination. In other words, if Clarissa chooses A, B, C, and D as chosen 4 books, for example, ABCD and ADCB are two different lists. So, the number of ways to choose 4 books (Order in important) = ...”
October 22, 2018
Jay@ManhattanReview posted a reply to A bookshelf holds both paperback and hardcover books. in the Data Sufficiency forum
“Given: The ratio of paperback books to hardcover books is 22 to 3. Say x is the common ratio, thus, the number of paperback books = 22x and the number of hardcover books = 3x. Or, the total the number of books = 22x + 3x = 25x. Question: How many paperback books are on the shelf? Let''s ...”
October 22, 2018
Jay@ManhattanReview posted a reply to The attendees at a certain convention purchased a total of in the Data Sufficiency forum
“Given: Few attendees at a certain convention purchased a total of 15,000 books. Question: How many of these attendees were female? Let''s take each statement one by one. 1. There was a total of 4,000 attendees at the convention. Certainly insufficient. 2. The male attendees purchased ...”
October 22, 2018
Jay@ManhattanReview posted a reply to Tim and Glenn are running laps around a circular track. If in the Data Sufficiency forum
“Given: Tim and Glenn are running laps around a circular track and start at exactly the same time. Question: In how many seconds will Tim have run exactly one lap further than Glenn? Let''s take each statement one by one. (1) Tim runs each lap in 48 seconds and Glenn runs each lap in 60 ...”
October 22, 2018
Jay@ManhattanReview posted a reply to A store sells two types of birdfeeder: Alphas and Bravos. in the Data Sufficiency forum
“Say the birdfeeder sold x Alphas and y Bravos, thus, x + 2y = 50. We have to find out the total revenue generated by birdfeeders sold last month, i.e by Alpha and Bravo together. Let''s take each statement one by one. 1. Last month, the price of each Alpha was $15, and the price of each ...”
October 21, 2018
Jay@ManhattanReview posted a reply to If x and y are two points on the number line what is the in the Data Sufficiency forum
“Question: What is the value of x + y? Let''s take each statement one by one. (1) 6 is halfway between x and y. => 6 is the arithmetic mean of x and y. Thus, (x + y)/2 = 6 => x + y = 12. Sufficient. (2) y = 2x. Certainly insufficient. The correct answer: A Hope this helps! ...”
October 21, 2018
Jay@ManhattanReview posted a reply to Harry and Ron work for the same company but earn different in the Data Sufficiency forum
“Say Harry''s income, expenditure and saving are x, y, and z, respectively, thus, z = (x – y); thus, the portion of Harry''s saving = z/x. Similarly, say Ron''s income, expenditure and saving are p, q, and r, respectively, thus, r = (p – q); thus, the portion of Harry''s saving = r/p. We ...”
October 21, 2018
Jay@ManhattanReview posted a reply to Did Jeff record more sales revenue this month than Dan did? in the Data Sufficiency forum
“An alternate approach to solving this question... From Statement 2, had the sales revenue of Jeff and Dan were equal, the sales commission earned by Jeff would have been (8/6)*100% = 33.33% greater than Dan sales commission; however, from Statement 1, we know that it''s ONLY 20% (< 33/33%) ...”
October 19, 2018
Jay@ManhattanReview posted a reply to Did Jeff record more sales revenue this month than Dan did? in the Data Sufficiency forum
“Question: Did Jeff record more sales revenue this month than Dan did? Let''s take each statement one by one. (1) Jeff earned 20% more in sales commission this month than Dan did. Since we do not know revenue and percent of sales commission, we cannot conclude anything. It may be that ...”
October 19, 2018
Jay@ManhattanReview posted a reply to At a local coffee shop, pastries may have nuts, chocolate, in the Data Sufficiency forum
“Given: 1. Pastries may have nuts, chocolate, both, or neither. 2. 400 pastries were sold Friday, and if of those, 60% contained chocolate. => Number of pastries with chocolate = 60% of 400 = 240 Question: How many of those sold contained only nuts? Say, N = # of pastries with ...”
October 19, 2018
Jay@ManhattanReview posted a reply to If there are more than two numbers in a certain list, is in the Data Sufficiency forum
“Given: There are more than two numbers in a certain list. Question: Is each of the numbers in the list equal to 0? Let''s take each statement one by one. (1) The product of any two numbers in the list is equal to 0. Case 1: Say the set is: { 0, 0, 0, ...}. The answer is yes. Case 2: ...”
October 19, 2018
Jay@ManhattanReview posted a reply to The rear wheels of a car crossed a certain line 0.5 second in the Problem Solving forum
“Given The rear wheels of a car crossed a certain line 0.5 second after the front wheels crossed the same line. If the centers of the front and rear wheels are 20 feet apart, Speed of the car = Distance / time = 20/0.5 feet/second = (20/5280)/0.5 mile/second = 20/(0.5*5280) mile/second = ...”
October 18, 2018
Jay@ManhattanReview posted a reply to A professional gambler has won 40% of his 25 poker games for in the Problem Solving forum
“Say he plays x more games after he has played 25 games. Thus, Number of games won out of the first 25 games = 40% of 25 = 10; Number of games to be won out of the x games = 80% of x = 0.8x; Number of games won out of the all (x + 25) games = 60% of (x + 25) = 3(x + 25)/5 Thus, 10 + ...”
October 18, 2018
Jay@ManhattanReview posted a reply to If one number is selected at random from set A, and one in the Problem Solving forum
“Number of elements in Set A: {71, 73, 79, 83, 87} = 5; Number of primes in Set A = 4 (71, 73, 79, 83) Thus, the probability of choosing a prime number from Set A = 4/5 Number of elements in Set B: B:{57, 59, 61, 67} = 4; Number of primes in Set B = 3 (53, 61, 67) Thus, the probability of ...”
October 18, 2018
Jay@ManhattanReview posted a reply to Cars J and K are making the trip from City A to City B. Car in the Problem Solving forum
“Let the speed of Car J is x mph, thus, the speed of Car K = 80% of x = 0.8x mph; Distance covered by Car K in 15 minutes = (0.8x)/4 = 0.2x miles Since both the cars are moving on the same track and in the same direction, the relative speed of Car J = Speed of Car J – Speed of Car K = x – ...”
October 18, 2018
Jay@ManhattanReview posted a reply to In the rectangular coordinate system above, if the in the Data Sufficiency forum
“Given that the coordinates of point P are (5, y), we know that OM = 5; we have to get the value of ON = y. Let''s take each statement one by one. (1) The coordinates of point M are (5, 0). => OM = 5. We already know this. Moreover, we do not need this information. Insufficient. (2) ...”
October 15, 2018
Jay@ManhattanReview posted a reply to In the rectangular coordinate system above, if the in the Data Sufficiency forum
“Given that the coordinates of point P are (5, y), we know that OM = 5; we have to get the value of ON = y. Let''s take each statement one by one. (1) The coordinates of point M are (5, 0). => OM = 5. We already know this. Moreover, we do not need this information. Insufficient. (2) ...”
October 15, 2018
Jay@ManhattanReview posted a reply to A rectangular solid S, has dimensions 4 by 9 by k. What is in the Data Sufficiency forum
“Question: A rectangular solid S, has dimensions 4 by 9 by k. Question: What is the value of k? Let''s take each statement one by one. (1) 4 < k < 9 K can have any value. Insufficient. (2) A cube of side 6 has the same volume as rectangular S. Volume of cube = 6^3; Volume of ...”
October 15, 2018
Jay@ManhattanReview posted a reply to How many factors does the number X have? in the Data Sufficiency forum
“Question: How many factors does the number X have? Let''s take each statement one by one. 1) X is divisible by 47. Certainly insufficient. If X = 47, then the number of factors of X (1 and 47)= 2; however, if say X = 94, then the number of factors of X (1, 2, 47, and 94) = 4. No unique ...”
October 15, 2018
Jay@ManhattanReview posted a reply to Data sufficiency question- Manhattan question 700 level in the Data Sufficiency forum
“Given: Point C is the center of the circle and DB = 7; Question: What is the length of DE in triangle EDB? Let''s take each statement one by one. (1) x = 60° In ∆ABC, AC and BC are radii, thus the angles opposite them must be equal. Thus, /_ABC = /_BCA = xº = 60º. This means that /_ ...”
October 14, 2018
Jay@ManhattanReview posted a reply to Alice, Barbara, and Cynia work on identical tasks at differe in the Data Sufficiency forum
“We have to determine which one of the three Alice Barbara, and Cynia is the slowest. Let''s take each statement one by one. (1) Barbara, working alone, can complete the task in 14 hours, and Barbara and Cynia working together can complete the task in approximately 86% of the time taken by ...”
October 13, 2018
Jay@ManhattanReview posted a reply to If x and y are integers and xy ≠ 0, is x - y > 0? in the Data Sufficiency forum
“Given: x and y are integers and xy ≠ 0. Question: Is x – y > 0? Let''s take each statement one by one. (1) x/y < 1/2 Case 1: Say x = 2 and y = 6, we have x/y => 2/6 = 1/3 < 1/2. We see that x – y = 2 – 6 = –4 < 0. The asnwer is No. Case 2: Say x = –2 and y = ...”
October 12, 2018
Jay@ManhattanReview posted a reply to How much time did it take a certain car to travel 400 in the Data Sufficiency forum
“Question: How much time did it take a certain car to travel 400 kilometers? Let''s take each statement one by one. (1) The car traveled the first 200 kilometers in 2.5 hours. Certainly insufficient since we do not know how much it took to travel the remaining 200 kms. Insufficient. (2) ...”
October 12, 2018
Jay@ManhattanReview posted a reply to A building has 48 one- and two-bedroom apartments to rent, in the Data Sufficiency forum
“Given: A building has 48 one- and two-bedroom apartments to rent, some with balconies and others without. Question: If one of these apartments is to be selected at random, is the probability greater than 1/2 that the apartment has two bedrooms and a balcony? Let''s take each statement one by ...”
October 12, 2018
Jay@ManhattanReview posted a reply to For the students in a Physical Fitness Class Section #1, the in the Data Sufficiency forum
“Given: • Section 1: Range = R; Highest weight = X, thus, Lowest weight = X – R • Section 2: Range = S; Highest weight = Y, thus, Lowest weight = Y – S Question: Is X – R > Y – S? Let''s take each statement one by one. (1) R < S Case 1: If X > Y, then X – R ...”
October 11, 2018
Jay@ManhattanReview posted a reply to Julie opened a lemonade stand and sold lemonade in two in the Data Sufficiency forum
“Given: Julie sells lemonade in two different sizes, a 52-cent (12oz) and a 58-cent (16oz) size Question: How many 52-cent (12oz) lemonade drinks did Julie sell? Let''s take each statement one by one. (1) Julie sold a total of 9 lemonades. Certainly insufficient. (2) The total value of ...”
October 11, 2018
Jay@ManhattanReview posted a reply to If x and y are positive integers in the Data Sufficiency forum
“Given: x and y are positive integers. Question: Is the total number of positive divisors of x^3 a multiple of the total number of positive divisors of y^2? Let''s take each statement one by one. (1) x = 4 Given x = 4, we have x^3 = 4^3 = 2^6 => there are a total of 6 + 1 = 7 positive ...”
October 11, 2018
Jay@ManhattanReview posted a reply to If x and y are positive integers, is xy a multiple of 8? in the Data Sufficiency forum
“Say least common multiple (LCM) and the greatest common divisor (GCD) of two numbers x and y are L and G. Note that for two numbers x and y, the product of x and y equals LCM and GCD. Thus, xy = 100*10 = 1000 Since 1000 is divisible by 8, xy is a multiple of 8. Both the statements together ...”
October 11, 2018
Jay@ManhattanReview posted a reply to Ann can have her bicycle repaired for $50, or she can trade in the Problem Solving forum
“Cost of repair = $50; Cost of new bicycle – Credit for old bicycle = 107 – 22 = $85 Excess amount paid to get bicycle = 85 – 50 = 35 The cost to her of purchasing the new bicycle is (35/50)*100% = 70% greater than the cost of having her current bicycle repaired. The correct answer: ...”
October 10, 2018
Jay@ManhattanReview posted a reply to A cube and a pyramid of square base share the same in the Problem Solving forum
“Say the side of the cube = a, thus, the volume of the cube = a^3 and the surface area of the cube = 6a^2 => a^3 = 6a^2 => a = 6 Note that the volume of a pyramid = Volume of cube/3 Volume of a pyramid = Volume of cube/3 = a^3/3 = 6^3/3 = 72 The correct answer: D Hope this ...”
October 10, 2018
Jay@ManhattanReview posted a reply to If P is a set of integers and 3 is in P, is every positive in the Data Sufficiency forum
“Let''s first understand the question. The question says, "If P is a set of integers and 3 is in P, is every positive multiple of 3 in P? " "every positive multiple of 3" means that all the integers from the set {3, 6, 9, 12, 15, ...}, all the numbers are in Set P. There may ...”
October 10, 2018
Jay@ManhattanReview posted a reply to If a total of 84 students are enrolled in two sections of a in the Data Sufficiency forum
“Say the number of students in Section 1 is x and the number of students in Section 2 is y. Thus, x + y = 84 Let''s take each statement one by one. (1) 2/3 of the students in Section 1 are female. => 2x/3 are females, but we do not know how many females are in Section 2. Insufficient. ...”
October 10, 2018
Jay@ManhattanReview posted a reply to If x, y, and z are positive numbers, Is z between x and y? in the Data Sufficiency forum
“Given: x, y, and z are positive numbers Question: Is z between x and y? Let''s take each statement one by one. (1) x < 2z < y Case 1: Say x = z = 1 and y = 3, then x < 2z < y => 1 < 2*1 < 3 => 1 < 2 < 3. We see that z is NOT between x and y. The answer is No. ...”
October 9, 2018
Jay@ManhattanReview posted a reply to A school library contains 200 hardcover and 300 paperback in the Problem Solving forum
“Given: Number of books: 200 hardcovers and 300 paperbacks • Number of hardcover fiction = 30% of 200 = 60; • Number of hardcover non-fiction = 200 – 60 = 140; • Number of paperbacks fiction = 70% of 300 = 210; • Number of paperbacks non-fiction = 300 – 210 = 90 The ...”
October 9, 2018
Jay@ManhattanReview posted a reply to Bob is training for a fitness competition. In order to in the Problem Solving forum
“We have a set of certain consecutive numbers in decreasing order. Set of # of pull-ups: {25, 24, 23, ..., 12, 11} The sum of the elements of the set can be found in many ways. I provide one of those ways. From 25 to 11, there are (25 – 11) + 1 = 15 numbers Average of the consecutive ...”
October 9, 2018
Jay@ManhattanReview posted a reply to The probability of winning game A is X and the probability in the Problem Solving forum
“Given: 1. The probability of winning game A is X, and 2. The probability of winning game B is Y Thus, The probability of NOT winning game A = 1 – X The probability of NOT winning game B = 1 – Y Thus, the probability of winning exactly once = the probability of winning either A ...”
October 9, 2018
Jay@ManhattanReview posted a reply to Find the fourth consecutive even number 1) The sum of the in the Problem Solving forum
“What''s the source of the question? It''s a poorly-worded question. Let''s take each statement one by one. 1) The sum of the last two numbers is 30. Say the four even consecutive numbers are n, (n + 2), (n + 4), and (n + 6). Thus, as per the information (n + 4) + (n + 6) = 2n + 10 = 30 ...”
October 9, 2018
Jay@ManhattanReview posted a reply to Find the fourth consecutive even number 1) The sum of the in the Problem Solving forum
“What''s the source of the question? It''s a poorly-worded question. Let''s take each statement one by one. 1) The sum of the last two numbers is 30. Say the four even consecutive numbers are n, (n + 2), (n + 4), and (n + 6). Thus, as per the information (n + 4) + (n + 6) = 2n + 10 = 30 ...”
October 9, 2018
Jay@ManhattanReview posted a reply to Barbara invests $2400 in the National Bank at 5%. How much in the Problem Solving forum
“Say Barbara invests an additional sum of $x. Now the situation is this: She has to earn a total of 6% on investment $(2400 + x) Since she gets an interest of 5% of the first investment ($2400), she needs to earn an additional interest of 1% (= 6% – 5%) on $2400 from $x investment. Needless ...”
October 5, 2018
Jay@ManhattanReview posted a reply to The juice stall at the circus stocked just 2 brands of in the Problem Solving forum
“Say the total number of packs sold = x Thus, the total number of brand A packs sold = nx/100; and the total number of brand B packs sold = x – nx/100 = (100x – nx)/100 = x(100 – n)/100 Sales revenue from the sale of brand A = nx/100 * 1 = nx/100 Sales revenue from the sale of brand B ...”
October 5, 2018
Jay@ManhattanReview posted a reply to Amit and Ian paint a wall in alternating shifts. First Amit in the Problem Solving forum
“Say the P is the area of the total area to be painted and R is the total area remained unpainted after Amit has completed his 4th shift Area remained unpainted after Amit''s 1st shift = P(1 – 1/2); we know that Amit does 1/2 of the remaining Area remained unpainted after Amit''s 1st and Ian''s ...”
October 5, 2018
Jay@ManhattanReview posted a reply to If x and y are positive integers, is x^2*y^2 even ? in the Data Sufficiency forum
“Given: x and y are positive integers. Question: Is x^2*y^2 even? For x^2*y^2 to be even, at least one between x and y must be even. Question rephrased: Is at least one between x and y even? Let''s take each statement one by one. (1) x + 5 is a prime number. => (x + 5) must be a ...”
October 4, 2018
Jay@ManhattanReview posted a reply to If z is a three-digit positive integer, what is the value in the Data Sufficiency forum
“Given: z is a three-digit positive integer. Question: What is the value of the tens digit of z? Let''s take each statement one by one. (1) The tens digit of z – 91 is 3. Case 1: Say z = 930; 930 – 91 = 839. Tens digit of z = 930 is 3. Case 2: Say z = 926; 926 – 91 = 835. Tens digit ...”
October 4, 2018
Jay@ManhattanReview posted a reply to How many prime factors does positive integer n have? in the Data Sufficiency forum
“Question: How many prime factors does positive integer n have? Let''s take each statement one by one. (1) n/7 has only one prime factor. Case 1: Say n = 7^2, then 7^2/7 = 7 (only one prime factor). We see that n = 7^2 has only one prime factor, 7. The answer is ONE. Case 2: Say n = 21 = ...”
October 4, 2018
Jay@ManhattanReview posted a reply to A planed named "ship" is flying in a clock wise ci in the Data Sufficiency forum
“Say when the planes are directly above the same location at the same time above Town X after 5 pm, the plane Ship makes n circular paths and Car makes m circular paths. Also, the speed of Ship is S and that of Car is C. The minimum value of (n + m) would give us the time when for the first time ...”
October 4, 2018
Jay@ManhattanReview posted a reply to 190 students go to a school bake sale. 95 buy a chocolate in the Problem Solving forum
“Say, the number of students who buy chocolate chip cookies = C; the number of students who buy peanut butter cookie = P; the number of students who buy both chocolate chip cookies and peanut butter cookie = B; the number of students who buy none of the cookies = N Thus, 195 = C + P – B + ...”
October 3, 2018
Jay@ManhattanReview posted a reply to Three pipes - A, B, and C - are attached to a tank. Pipe A in the Problem Solving forum
“The rates of the pipes are: 1. Pipe A: 1/6 part per hour (It fills) 2. Pipe B: –1/8 part per hour (It empties) 2. Pipe C: 1/12 part per hour (It fills) 1. Between 9 to 10 am: Part of the tank filled by pipe A = 1/6 2. By 11 am: Part of the tank filled by pipe A and empties by pipe B = ...”
October 3, 2018
Jay@ManhattanReview posted a reply to Is x + y > xy ? in the Data Sufficiency forum
“Question: Is x + y > xy? Let''s take each statement one by one. Statement (1): x > 0 > y Case 1: Say x = 2 and y = – 1 x + y > xy => 2 – 1 ? 2*–1 => 1 > –2. The answer is Yes. Case 2: Say x = 1/2 and y = –1 x + y > xy => 1/2 – 1 ? 1/2*–1 ...”
October 3, 2018
Jay@ManhattanReview posted a reply to The symbol Ω represents one of the following operations: ad in the Data Sufficiency forum
“Question: What''s the value of 1 Ω 1? Let''s take each statement one by one. (1) 2 Ω 2 = 4 2*2 = 4 or 2 + 2 = 4. So, Ω can be either multiplication or addition. So, 1 Ω 1 is either 1 + 1 = 2 or 1*1 = 1. No unqiue answer. Insufficient. (2) 0 Ω 1 = 0 0*1 = 0 or 0/1 = 0. So, Ω ...”
October 3, 2018
Jay@ManhattanReview posted a reply to The figure above represents a rectangular tank. How many in the Problem Solving forum
“When the water level is 10 centimeters below the top of the tank, the height of water would be 120 – 10 = 110 cm So, the volume of water in the tank = 1200 x 960 x 110 = 12 x 96 x 11 x 10000 Since the computation of 12 x 96 x 11 is tedious, we must follow the process of elimination. The ...”
October 2, 2018
Jay@ManhattanReview posted a reply to A garden center sells a certain grass seed in 5-pound bags in the Problem Solving forum
“The prices are based on the concept of the more one buys, the less per unit price one pays. Let''s first confirm this. 1. 5-pound bags at $13.85 per bag => 13.85/5 = 2.77/lbs 2. 10-pound bags at $20.43 per bag => 20.43/10 = 2.043/lbs 3. 25-pound bags at $32.25 per bag=> 32.25/25 = ...”
October 2, 2018
Jay@ManhattanReview posted a reply to During a two-week period, the price of an ounce of silver in the Problem Solving forum
“Price by the end of the first week = 125% of x = 1.25x; Price by the end of the second week = 80% of 1.25x = x The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Prague | Johannesburg | Lisbon | and many more... Schedule ...”
October 2, 2018
Jay@ManhattanReview posted a reply to In triangle ABC, angle ABC is 105 degrees. Is the area in the Data Sufficiency forum
“None of the statements alone is sufficient to answer the question, so we combine them. See the image with construction. https://i.postimg.cc/WDHWLQmM/Picture1.png Drop a perpendicular from B to AC; it meets at point D. /_BDC = /_BDA = 90º; /_CBD = 60º; /_BAD = 45º We have to get the ...”
October 1, 2018
Jay@ManhattanReview posted a reply to DS : A rectangular solid box in the Data Sufficiency forum
“The question is posted correctly. I edited it. Given: a restaurant has x biscuits and y patrons, with x > 2 and y > 1. Question: How many values of y are there, such that all the biscuits can be distributed among the patrons, with each patron receiving an equal number of whole biscuits ...”
October 1, 2018
Jay@ManhattanReview posted a reply to A sum of $200,000 from a certain estate was divided among a in the Data Sufficiency forum
“Given: A sum of $200,000 was divided among a spouse and three children Question: How much did the youngest child receive? Let''s take each statement one by one. (1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the reminder. Say the total sum is ...”
October 1, 2018
Jay@ManhattanReview posted a reply to is x/140 an integer? in the Data Sufficiency forum
“We have to determine whether x/140 is an integer. Let''s take each statement one by one. 1) LCM of x & y is 360. For x/140 to be an integer, x must be a multiple of 140. Upon factorizing 140, we found that 7 is one of the prime factors of 140; however, there is no prime factor 7 in the ...”
October 1, 2018
Jay@ManhattanReview posted a reply to What is the standard deviation of a, b and c? in the Data Sufficiency forum
“Question: SD of a, b and c? Let''s take each statement one by one. 1) a^2 + b^2 + c^2 = 77 Case 1: Say a = b = c = √(77/3); the answer is 0. Note that if the number in a set are equal, there is no deviation among them, thus, SD = 0. Case 2: Say a = √(77/2); b = c = 0; the answer is ...”
September 29, 2018
Jay@ManhattanReview posted a reply to A number of people each wrote down one of the first 30 posit in the Data Sufficiency forum
“To be certain that an integer, among the first 30, is repeated, at least 31 people must participate. Let''s take each statement one by one. (1) The number of people who wrote down an integer was greater than 40. Since in Statement 1, we have 40 people ≥ 31 people, it''s certain that at ...”
September 29, 2018
Jay@ManhattanReview posted a reply to An automobile manufacturer offers a station wagon with in the Problem Solving forum
“Total number of combinations with 6-cylinder engine wagons = 2*2 = 4 (manual or automatic and with or without a trailer hitch); Total number of combinations with 4-cylinder engine wagons = 2 (manual or automatic) Total Total number of combinations with = 4 + 2 = 6 The correct answer: D ...”
September 29, 2018
Jay@ManhattanReview posted a reply to If non- negative integers n & p are not both odd, in the Problem Solving forum
“Given that n & p are not both odd, and non-negative integers, we have one of n and p even and the other is odd. With this information in mind, let''s see the options. A) np: This is a product of an even and an odd integer; note that EVEN * ODD = EVEN B) np + 2: EVEN + EVEN = EVEN C) 2n ...”
September 28, 2018
Jay@ManhattanReview posted a reply to Which of the following equations is NOT equivalent to in the Problem Solving forum
“The correct answer is option D: 2x = y – 3 Let''s see how: 4x^2 = y^2 – 9 Taking the square root, we get √(4x^2) = √(y^2 – 9) 2x = √D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Vienna | Kuala Lumpur | Sydney | and ...”
September 28, 2018
Jay@ManhattanReview posted a reply to A lunar mission is made up of x astronauts and is formed in the Problem Solving forum
“Before the launch day: The total number of possible lunar missions = 12Cx; On the launch day: The total number of possible lunar missions = (12 + p)Cx; We are given that 12Cx = (12 + p)Cx Note nCr = nC(n – r) Thus, (12 + p)Cx = (12 + p)C(12 + p – x) => x = 12 + p – x ...”
September 28, 2018
Jay@ManhattanReview posted a reply to Talk show host Ralph Burke has exactly one guest on his show in the Problem Solving forum
“We have 5 politicians, 3 actors, and 6 athletes The guest order would be as following: Monday: Politicians => Any of the 5 politicians can be invited => Number of ways = 5; Tuesday: Actors => Any of the 3 actors can be invited => Number of ways = 3; Wednesday: Politicians ...”
September 28, 2018
Jay@ManhattanReview posted a reply to Last week, Raina and Bob made a combined total of 190 sales in the Data Sufficiency forum
“Say Raina made R number of sales and Bob made B number of sales. Thus, R + B = 190 ---(1) We have to find out the value of R –B. Let''s take each statement one by one. (1) The difference between the number of sales Raina made and the number of sales Bob made was ten percent of the ...”
September 28, 2018
Jay@ManhattanReview posted a reply to John has to hammer 100 railroad spikes for a new line his in the Problem Solving forum
“At the rate of 8 spikes per hour. John would have taken 100/8 = 25/2 hours working alone to complete the work. Since John finished half the work, it means he put in (25/2)/2 = 25/4 hours. With the joining of his friend whose rate is the same as that of John, they together would now take ...”
September 27, 2018
Jay@ManhattanReview posted a reply to What is the area of the shaded region, formed by the in the Problem Solving forum
“You may solve this by PoE. Area of shaded region = Area of the equilateral triangle – Area of the circle = √3 – nπ; where n is any positive number Since Area of the shaded region is a positive quantity, we have √3 – nπ > 0. Now let''s look at the options. A. √3 – ...”
September 27, 2018
Jay@ManhattanReview posted a reply to If the probability of Ronaldo will score at least 3 goals in in the Problem Solving forum
“This is a tricky question. It does not ask, "What is the probability that neither of the two events will occur?" It rather asks, "What is the greatest probability that neither of the two events will occur?" Given: 1. Probability of Ronaldo''s team winning the match = ...”
September 27, 2018
Jay@ManhattanReview posted a reply to If H = [(x^3) - 6(x^2) - x + 30] / (x-5)and x ≠ 5, then H in the Problem Solving forum
“Looking at the options, we can deduce that (x – 5) given in the denominator of H gets canceled. Thus, (x – 5) must be a factor of the numerator of H = x^3 – 6x^2 – x + 30 x^3 – 6x^2 – x + 30 x^2(x – 5) – x^2 – x + 30 x^2(x – 5) – x(x – 5) – 6x + 30 x^2(x – 5) – ...”
September 26, 2018
Jay@ManhattanReview posted a reply to A positive integer is called semiprime if it is the product in the Problem Solving forum
“Let''s first try to list down Semiprimes. We are given that "A positive integer is called semiprime if it is the product of exactly two not-necessarily-distinct prime numbers." Few Semiprimes are: 1. 4: We see that 4 = 2*2; product of exactly two primes 2. 6: We see that 6 = 2*3; ...”
September 26, 2018
Jay@ManhattanReview posted a reply to Is x>x/y? in the Data Sufficiency forum
“We need to determine whether x > x/y. Let''s take each statement one by one. 1) y > 1 Certainly insufficient since we have no information about the value of x; x can be anything 0, positive, or negative. 2) xy > 0 => x and y both are either positive or both are ...”
September 26, 2018
Jay@ManhattanReview posted a reply to Point (P, Q) is in the coordinate plane. Is P > Q? (1) P in the Data Sufficiency forum
“We have to determine whether s P > Q. Let''s take each statement one by one. (1) P is positive. Certainly many possibilities. For example (2, 2), (2, 3) and (3, 2). No unique answer. insufficient. (2) Point (P, Q) is above the line y = x + 1. The line y = x + 1 passes through I, II ...”
September 26, 2018
Jay@ManhattanReview posted a reply to Robin split a total of $24,000 between 2 investments, X and in the Data Sufficiency forum
“Given: * X + Y = 24,000; *Investment Y earns 7% simple annual interest; Question: Value of Y? Let''s take each statement one by one. (1) Each investment earns the same dollar amount of the interest annually. Say Investment Y earns n% simple annual interest => X*n/100 = ...”
September 25, 2018
Jay@ManhattanReview posted a reply to A string of 5 different colored light bulbs is wired in such in the Problem Solving forum
“The string would fail if 1st and 2nd; 2nd and 3rd; 3rd and 4th; or 4th and 5th bulbs together fail. Given that the probability of not failing during the time period T is 0.85, we have the probability of failing during the time period T = 1 – 0.85 = 0.15. 1. Probabality of failing of 1st and ...”
September 25, 2018
Jay@ManhattanReview posted a reply to If z is a multiple of 9 and w is a multiple of 4, is zw a in the Data Sufficiency forum
“Say z = 9p and w = 4q, where p and q are some integers => zw = 36pq zw = 36r; r = pq If zw a multiple of 126, zw = 126m, where m is some integer => 36r = 126m m = 36r / 126 = 2r/7 Since m is an integer, r must be a multiple of 7. Only statement 1 can assure that r is a ...”
September 25, 2018
Jay@ManhattanReview posted a reply to If x, y, z are integers, is xyz a multiple of 6? in the Data Sufficiency forum
“Given: x, y, z are integers Question: Is xyz a multiple of 6? Let''s take each statement one by one. 1) x + y + z is a multiple of 6. Case 1: Say x, y and z are 1, 2, and 3, respectively, then xyz = 1*2*3 = 6. The answer is yes. Case 2: Say x = y = 1 and z = 4, respectively, then xyz = ...”
September 23, 2018
Jay@ManhattanReview posted a reply to 1/(2-√3)^2=? in the Problem Solving forum
“1/(2 – √3)^2 = 1/(4 + 3 – 4√3) = 1/(7 – 4√3) We see that there is no option as 1/(7 – 4√3), so let''s rationalize the fraction. Multiplying and dividing the fraction 1/(7 – 4√3) by (7 + 4√3), we get C Hope this helps! -Jay _________________ Manhattan ...”
September 23, 2018
Jay@ManhattanReview posted a reply to In 2001, John invest x dollars ina special account that in the Problem Solving forum
“John''s account has $250 in 2006, i.e., after 5 years. Thus, he invested $x at the rate of y% per annum at simple interest for 5 years, which gave $(250 – x) as simple interest. => 250 – x = (x * y * 5) / 100 5000 – 20 x = xy ------(1) Since account balance in 2008 is $270 and ...”
September 23, 2018
Jay@ManhattanReview posted a reply to ABCD is a square of side 4 inch. If each corner of square is in the Problem Solving forum
“Refer to the image, which is self-explanatory. https://i.postimg.cc/WtVrV9b0/Picture1.png We see that 4 – 2x and √2x are the equal sides of the regular octagon. Thus, 4 – 2x = √2x 16 – 16x + 4x^2 = 2x^2; squaring both the sides 8 – 8x + x^2 = 0 x = C Hope this helps! ...”
September 23, 2018
Jay@ManhattanReview posted a reply to For a finite sequence of non zero numbers, the number of in the Problem Solving forum
“Taking all the possible pairs of consecutive terms out of the sequence 1, –3, 2, 5, –4, –6: 1. {1, – 3}: Product = –3, negative 2. {– 3, 2}: Product = –6, negative 3. {2, 5}: Product = 10, positive 4. {5, – 4}: Product = –20, negative 5. {–4, – 6}: Product = 24, ...”
September 22, 2018
Jay@ManhattanReview posted a reply to If a and b are positive integers, is a/b = 5/8 ? in the Data Sufficiency forum
“Given: a and b are positive integers, Question: Is a/b = 5/8? Let''s take each statement one by one. (1) 1/2 < a/b < 2/3 = 0.5 < a/b < 0.67 Case 1: 0.5 < (a/b = 5/8 = 0.625) < 0.67; the answer is yes. Case 2: 0.5 < (a/b = 3/5 = 0.6) < 0.67; the answer is No. ...”
September 22, 2018
Jay@ManhattanReview posted a reply to In an office that employs 120 people, m% of the employees in the Data Sufficiency forum
“Given: 1. Total number of employees = 120 2. Total number of male employees = 120*m/100 = 6m/5 3. Thus, total number of female employees = 120 – 6m/5 4. Total number of custodial staff = 120*c/100 = 6c/5 5. Thus, total number of non-custodial staff = 120 – 6c/5 We have to determine ...”
September 22, 2018
Jay@ManhattanReview posted a reply to In each of five taste tests, each of 51 participants chose in the Data Sufficiency forum
“Given: 5 state tests; to get the majority, the winner brand must win at least 3 tests. Number of votes for 5 tastes = 5*51 = 255 We have to determine which of two brands was deemed the better brand. Let''s take each statement one by one. (1) Brand X was chosen by a total of 155 ...”
September 22, 2018
Jay@ManhattanReview posted a reply to If xy ≠ 0, what is the value of x? in the Data Sufficiency forum
“Given that xy ≠ 0, we have neither x nor y is equal to 0. Let''s take each statement one by one. (1) yx^2 + 4xy + 4y = 0 => y(x^2 + 4x + 4) = 0 x^2 + 4x + 4) = 0/y x^2 + 4x + 4 = 0; we know that y ≠ 0 => (x + 2)^2 = 0 x = –2. Sufficient. (2) y = 6 Certainly ...”
September 22, 2018
Jay@ManhattanReview posted a reply to The usage of sugar of a family of 3 adults and 2 children in the Problem Solving forum
“Monthly average consumption of sugar = 3*3 + 2*1 = 11 kg Consuption of sugar in the ceratin month = 11 kg Thus, the specific month’s sugar consumption was B Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Ho Chi Minh City | GRE Prep Course ...”
September 20, 2018
Jay@ManhattanReview posted a reply to At a certain supplier, a machine of type A costs $20,000 and in the Problem Solving forum
“Total cost of two machines of type A = 2(20,000 + 80%*20,000*40%) = 2(20,000 + 6400) = 2*26,400 = $52,800 Total cost of one machine of type B = 50,000 + 80%*50,000*40% = 50,000 + 16000 = $66,000 Two machines of type A would cost $66,000 – 52,000 = $13,200 less than one machine of type B ...”
September 20, 2018
Jay@ManhattanReview posted a reply to A lecture course consists of 595 students. The students are in the Problem Solving forum
“Basically, the question asks which of the following cannot be a factor or 595. 595 is divisible by all except 45 since 595 is not divisible by 3. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Ho Chi Minh City | GRE ...”
September 20, 2018
Jay@ManhattanReview posted a reply to In four years, Andy will be twice as old as Betsy. How old in the Data Sufficiency forum
“Say Andy''s age is A and Betsy''s age is B. Thus, from the information, in four years, Andy will be twice as old as Betsy, we have A + 4 = 2(B + 4) ---(1) We have to get the value of B. Let''s take each statement one by one. (1) Four years ago, Andy was twice as old as Betsy is now. ...”
September 20, 2018
Jay@ManhattanReview posted a reply to Michael arranged all his books in a bookcase with 10 books in the Data Sufficiency forum
“Say the bookcase has x numbers of shelves. Thus, the number of books = 10x After the addition of 10 more books, Michael has 10x + 10 books that can be arranged such that there are 12 books in each shelf. => 10x + 10 = 10(x + 1) is completely divisible by 12 Let''s take each statement one ...”
September 20, 2018
Jay@ManhattanReview posted a reply to Rasheed bought two kinds of candy bars, chocolate and toffee in the Data Sufficiency forum
“Say Rasheed bought x numbers of packages of chocolate bars and x numbers of packages of toffee bars. He handed out 2/3 *2x numbers of chocolate bars and 2/5 * 2y numbers of toffee bars. We need the value of x. (1) Rasheed bought 2 fewer packages of chocolate bars than toffee bars. x = y ...”
September 19, 2018
Jay@ManhattanReview posted a reply to Cars A and B are traveling from Town X to Town Y on the same in the Problem Solving forum
“Say the distance from the point Car A meets Car B to Town Y is x miles Thus, Car A traveled x miles in 105 minutes (= 3:15 pm – 1:30 pm) and Car B traveled (x – 35) miles in 105 minutes Thus, Speed of Car A = x/105 miles per minute = 60x/105 mph Speed of Car B = (x – 35)/105 ...”
September 19, 2018
Jay@ManhattanReview posted a reply to If ABCD is a square with area 625, and CEFD is a rhombus in the Problem Solving forum
“Let''s the image. https://i.postimg.cc/xk13yrmf/Picture1.png We have to find out the area of CABF''EC. Area of CABF''EC = Area of ABCD – Area of CEFD + Area of DF''F Area of ABCD = 625 (given) Area of CEFD = 500 (given) To get the area of DF''F, we need the values of DF'' and ...”
September 19, 2018
Jay@ManhattanReview posted a reply to A seller sold two shoes at the same selling price. If the in the Problem Solving forum
“We see that we will have to deal with a couple of not-so-friendly numbers such as 1/1.3 and 1/0.7. So we must think of a way to get rid of this. Say the selling price of each shoe = 91 (LCM of 13 and 7) Thus, Cost price of the first shoe = 91 / (1 + 30%) = 91 / 1.3 = 910 / 13 = 70 Cost ...”
September 19, 2018
Jay@ManhattanReview posted a reply to If six coins are flipped simultaneously, the probability of in the Problem Solving forum
“Instead of calculating the probability of getting at least one head and at least one tail, let''s calculate the probability of getting NO head and the probability of getting NO tail. We''ll then subtract these values from 1 to get the answer. Probability of getting NO head = Probability of ...”
September 19, 2018
Jay@ManhattanReview posted a reply to A conjuror will roll one red, six-sided die in his right in the Problem Solving forum
“The minimum sum the two blue dice can have is 2, and the maximum sum they can have such that the red die can exceed that sum is 5. Let''s find out the probabilities of finding the sum of 2, 3, 4, and 5 for the two blue dice. 1. Sum = 2 => Ways: {1, 1} => Probaility = 1/36 2. Sum = 3 ...”
September 19, 2018
Jay@ManhattanReview posted a reply to In the figure above, what is the distance from point P to in the Problem Solving forum
“Since the formula for finding the distance between two points is the Cartesian plane is not within the scope of the GMAT, let''s do it differently. Pl. see this self-explanatory image. https://i.postimg.cc/QHyPWt5N/Picture1.png The correct answer: D Hope this helps! -Jay ...”
September 19, 2018
Jay@ManhattanReview posted a reply to A certain business school has a student body of 2,000 studen in the Data Sufficiency forum
“Here''s the solution... https://i.postimg.cc/hXyXXcQg/Picture1.png The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Manhattan | GRE Prep Course Frankfurt | GRE Prep Bellevue | SAT Prep Course Orlando | and many more... ...”
September 18, 2018
Jay@ManhattanReview posted a reply to The price per share of stock X increased by 10 percent over in the Data Sufficiency forum
“Say, the original price per share of stock X is x, so after the increase of 10%, it would be 1.1x; Let the original price per share of stock Y is y, so after the decrease of 10%, it would be 0.9y. Question: What is the value of (0.9y/x)*100% = 90*(y/x)%? If we get the value of y/x, we get the ...”
September 18, 2018
Jay@ManhattanReview posted a reply to A pizzeria sells small, medium and large pizzas, and offers in the Problem Solving forum
“Number of sizes available = 3 Number of toppings available = 5 Case 1: Pizzas with the same size and same toppings = 3*5 = 15 Case 2: Pizzas with the same size but with bifferent toppings = 3*5C3 = 3*(5.4.3/1.2.3) = 3*10 = 30 Note that 5C3 is the total number of ways to select 3 toppings out ...”
September 18, 2018
Jay@ManhattanReview posted a reply to On the number line shown, the distance between 0 and a, a in the Problem Solving forum
“We see that b > a. Given that the distance of point b from 15 is twice the distance of point a from 15, we can deduce that 15 must lie of the left of b. If were at the right of b, the condition "the distance of point b from 15 is twice the distance of point a from 15," cannot be met. ...”
September 18, 2018
Jay@ManhattanReview posted a reply to If Albert can travel 200 miles in 4 hours, how many hours in the Problem Solving forum
“It will take Albert (350/200)*4 = 7 hrs The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Manhattan | GRE Prep Course Frankfurt | GRE Prep Bellevue | SAT Prep Course Orlando | and many more... Schedule your free ...”
September 18, 2018
Jay@ManhattanReview posted a reply to If A and C are points in a plane, C is the center of circle in the Data Sufficiency forum
“Given C is the center of the circle, point A is outside of the circle if AC = x > radius of the circle (r) Let''s take each statement one by one. (1) The circumference of circle O is xπ. Circumference of circle O = 2πr => 2πr = xπ x = 2r x > r. Sufficient. (2) The ...”
September 16, 2018
Jay@ManhattanReview posted a reply to A rectangle is defined to be "silver" if and only in the Data Sufficiency forum
“Given: Rectangle S is silver, i.e., the ratio of its length to its width is 2 to 1 Question: Is a rectangle R silver? Question rephrased: Does rectangle R has the ratio of its length to its width is 2 to 1? Let''s take each statement one by one. (1) R has the same area as S. Case 1: ...”
September 16, 2018
Jay@ManhattanReview posted a reply to Bob drives at an average rate of 50 mph from Berkeley to Los in the Problem Solving forum
“Distance = 350 miles Average speed = 50 mph Time taken = Distance/Speed Total time taken = 350/50 = 7 hrs The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Miami | GRE Prep Course Munich | GRE Prep Denver | LSAT Prep ...”
September 16, 2018
Jay@ManhattanReview posted a reply to Gunther, the pizza delivery boy, went out from the store in the Problem Solving forum
“> Time taken to reach Hufflepuff Society = 15 minutes > Time taken to deliver Pizzas at Hufflepuff Society = 15 minutes > Time taken to reach Ravenclaw Society = 15 minutes > Time taken to deliver Pizzas at Ravenclaw Society = 15 minutes > Time taken to reach Slytherin Society = ...”
September 15, 2018
Jay@ManhattanReview posted a reply to A basket contains 5 apples, of which 1 is spoiled and the in the Problem Solving forum
“There are 4 good and 1 bad apple. Probability of picking 2 apples such that 1 is good and the other is bad = (4C1 * 1C1) / (5C2) = 4/(5.4/1.2) = 2/5 The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Miami | GRE Prep Course ...”
September 15, 2018
Jay@ManhattanReview posted a reply to A curve is represented by the equation x^2 y^3 = k^3, where in the Problem Solving forum
“Let''s plug-in y = – a in the equation x^2*y^3 = k^3 –x^2*a^3 = –|k^3|; we are given that k < 0 x^2*a^3 = |k^3| x^2 = |k^3| / a^3 There are three cases... 1. If a > 0 then x^2 = |k^3| / |a^3| => x = ±√(|k/a|^3. There are two points. 2. If a = 0 then x^2 = |k^3| / ...”
September 14, 2018
Jay@ManhattanReview posted a reply to A certain liquid passes through a drain at a rate of w/20 ga in the Problem Solving forum
“Give that liquid passes the drain at a rate of w/20 gallons every x seconds, the rate per second = w/(20x) gallons/second Thus, seconds needed to pass y gallons = y / C Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Seattle | GMAT Prep Course ...”
September 14, 2018
Jay@ManhattanReview posted a reply to On the number line, point R has coordinate r and point T has in the Data Sufficiency forum
“Given: On the number line, point R has coordinate r and point T has coordinate t. Question: Is t < 0? Let''s take each statement one by one. (1) –1 < r < 0 We do not have any information about point T. Insufficient. (2) The distance between R and T is equal to r^2. ...”
September 14, 2018
Jay@ManhattanReview posted a reply to A laboratory is testing a new steroid on mice. The average in the Problem Solving forum
“Say, the average weight of a mouse that has been treated with the steroid = x = 26.4; the average weight of a mouse that has NOT been treated with the steroid = y = 19.2; and the average weight of all the mice = z = 22.4 Then, The ratio of mice that have been treated to mice that have not ...”
September 13, 2018
Jay@ManhattanReview posted a reply to Z is a set of positive numbers. The median of Z is greater in the Problem Solving forum
“Since this is a roman numeral question and each of the three statements are independent of each other, we must think of Set Z such that the statements are challenged. Let''s see each statement one by one. I. At least 50% of the numbers in Z are smaller than the median. Say Z : {0, 2, 2, 4, ...”
September 13, 2018
Jay@ManhattanReview posted a reply to A tank has 5 inlet pipes. Three pipes are narrow and two are in the Problem Solving forum
“Say the rate of each of the two wide pipes = 1 unit Thus, the rate of each of the three narrow pipes = 1 * 1/2 = 1/2 unit Combined rate of the three narrow pipes = 3 * 1/2 = 3/2 Combined rate of the two wide pipes = 2 * 1 = 2 Combined rate of all the five pipes = 3/2 + 2 = 7/2 Thus, the ...”
September 13, 2018
Jay@ManhattanReview posted a reply to A driver paid n dollars for auto insurance for the year in the Problem Solving forum
“> 1997: Premium = n > 1998: Premium = n(1 + p%) > 1999: Premium = n(1 + p%) – n(1 + p%)/6 = 5n/6 * (1 + p%) > 2000: Premium = 5n/6 * (1 + p%) – 5n/36 * (1 + p%) = 25n/36 * (1 + p%) => 25n/36 * (1 + p%) = n 25/36 * (1 + p%) = 1 1 + p% = 36/25 p% = 36/25 – 1 p% = ...”
September 13, 2018
Jay@ManhattanReview posted a reply to x=? in the Data Sufficiency forum
“We have to get the value of x. Let''s take each statement one by one. 1) x^3 + x^2 + x = 0 There can be three possibilities. 1. x = 0. 2. x is positive. This is not possible since the sum of three positive numbers cannot be 0. Rules out. 3. x can be negative. Note that for x < 0, ...”
September 12, 2018
Jay@ManhattanReview posted a reply to During a one day sale, a store sold each sweater of a in the Data Sufficiency forum
“Say the store sold n numbers of sweaters, and the cost to purchase each sweater = $x; thus, the sale price of each sweater = x + 30 Total revenue = n(x + 30). We have to get the value of n. Let''s take each statement one by one. (1) During the sale, the total revenue from the sale of ...”
September 12, 2018
Jay@ManhattanReview posted a reply to What is the value of product abc? in the Data Sufficiency forum
“We have to get the value of abc. Let''s take each statement one by one. (1) 2^a * 3^b * 5^c = 1728. Multiple solutions are possible. Note that we do not know that a, b and c are integers. They can be real numbers. For example, at a = b = 0, we have 5^c = 1728 => the value of c is ...”
September 12, 2018
Jay@ManhattanReview posted a reply to In Jefferson School, 300 students study French or Spanish or in the Data Sufficiency forum
“Say, S = Students who study Spanish F = Students who study French B = Students who study both Thus, 300 = S + F – B We are given that S – B = 100 Thus, from 300 = S + F – B, we have F = 200. We have to get the value of B. Let''s take each statement one by one. (1) ...”
September 12, 2018
Jay@ManhattanReview posted a reply to Is p + pz = p? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) p = 0 We have p + pz = p; at p = 0, we have 0 + 0*z = 0 => 0 = 0. Sufficient. Irrespective of the value of z, at p = 0, p + pz = p. (2) z = 0 We have p + pz = p; z = 0, we have p + p*0 = p => p = p. Sufficient. Irrespective of the value ...”
September 12, 2018
Jay@ManhattanReview posted a reply to Three boys are ages 4, 6 and 7 respectively. Three girls are in the Problem Solving forum
“Since the ages are integers, their sum would be either even or odd. We see that there are three boys and three girls, thus, there are 3*3 = 9 possible sums; out of which few are even and few are odd. Let''s first find out the sum = Odd. Sum would be odd if an even adds to odd OR and odd ...”
September 12, 2018
Jay@ManhattanReview posted a reply to Flor is choosing three of five colors of paint to use for he in the Problem Solving forum
“The number of ways, three out of five colors can be chosen, without any restriction = 5C3 = 5C2 = (5.4)/(1.2) = 10 ways Out of these 10 ways, there are ways that have both Green and Yellow colors; we must exclude them. Say, Flor chose Green and Yellow, thus, now only one color out of the three ...”
September 12, 2018
Jay@ManhattanReview posted a reply to A table of numbers has n rows and n columns, where n is a in the Problem Solving forum
“Say n = 5 As per the two conditions, we have 5*5 grid as following. ----------------------------- | 1 | 2 | 4 | 8 | 16 | ------------------------------ | –1 | –2 | –4 | –8 | –16 | ------------------------------ | 1 | 2 | 4 | 8 | 16 | ------------------------------ | –1 | ...”
September 11, 2018
Jay@ManhattanReview posted a reply to If 75 percent of all Americans own an automobile, 15 percent in the Problem Solving forum
“Given that 20 percent of all Americans own neither an automobile nor a bicycle, we have 100 – 20 = 80% of all Americans who own an automobile or bicycle or both. => Automobile owner + Bicycle owner – Owners of both = 80 => 75 + 15 – Owners of both = 80 Owners of both = 10%. ...”
September 11, 2018
Jay@ManhattanReview posted a reply to A perfectly spherical satellite with a radius of 4 feet is in the Problem Solving forum
“Given: Radius of the spherical satellite = 4ft, so diameter = 8 ft The minimum dimension of the rectangular box (crate) must be 8*8*8 in order for the spherical satellite to perfectly fit into the crate. Since the dimensions of the crate are consecutive even integers, the minimum values of the ...”
September 11, 2018
Jay@ManhattanReview posted a reply to Which of the following points could lie in the same quadrant in the Problem Solving forum
“Hello BTGmoderatorDC, Pl. first search a question and then post. This question is already asked and replied last month. Pl. find it here. https://www.beatthegmat.com/which-of-the-following-points-could-lie-in-the-same-quadrant-t303855.html#818626 Hope this helps! -Jay _________________ ...”
September 11, 2018
Jay@ManhattanReview posted a reply to The perimeter of a rectangular garden is 360 ft. What is the in the Data Sufficiency forum
“Say the length and the width of the rectangular garden is l and w, respectively. Thus, Perimeter of the rectangular garden = 2(l + w) = 360 => (l + w) = 180 We have to find out the length of the garden. Let''s take each statement one by one. 1) The length of the garden is twice ...”
September 11, 2018
Jay@ManhattanReview posted a reply to A certain ice cream factory makes two flavors of ice cream: in the Data Sufficiency forum
“Statement 1 is not sufficient since we do not have any information about Chocolate icecream. Statement 2 is also not sufficient since we do not have any information about Chocolate icecream with less than 20 percent milk and Caramel icecream. (1) and (2) together Even after combining the ...”
September 10, 2018
Jay@ManhattanReview posted a reply to For each customer, a bakery charges p dollars for the first in the Data Sufficiency forum
“Let''s take each statement one by one. (1) A customer who buys 2 loaves is charged 10 percent less per loaf than a customer who buys a single loaf. => (p + q)/2 = 90% of p (p + q)/2 = 0.9p p + q = 1.8p q = 0.8p Can''t get the value of q since we do not have the value of p. ...”
September 10, 2018
Jay@ManhattanReview posted a reply to Four men and three women make up a seven-member committee. in the Data Sufficiency forum
“Let''s take each statement one by one. (1) No woman sits next to another woman. Case 1: MFMFMFM. The answer is No, at least one man does NOT sit next to another man. Case 2: MFMFMMF. The answer is Yes, at least one man sits next to another man. Insufficient (2) The captains sit in the ...”
September 10, 2018
Jay@ManhattanReview posted a reply to Any decimal that has only a finite number of nonzero digits in the Data Sufficiency forum
“A ratio, here, r/s is a terminating decimal if s has only two prime factors: 2 and 5. Note that there is no role of r, so Statement 1 is insufficient. From Statement 2, we know that s = 4 has a prime factor 2, it''s sufficient to collude that r/s is a terminating decimal. The correct ...”
September 10, 2018
Jay@ManhattanReview posted a reply to K is a rectangular solid. Find the volume of K in the Data Sufficiency forum
“Say, the length, width and height of K are a, b, and c, respectively. Thus, volume of K = abc Let''s take each statement one by one. (1) A diagonal line across the front face of K has a length of 40. => a^2 + b^2 = 1600. No information about c. Insufficient. (2) A diagonal line ...”
September 10, 2018
Jay@ManhattanReview posted a reply to Does Country X have more citizens than Country Y? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) 60% of Country X''s citizens are also citizens of Country Y. We can have both the results: 1. Country X has more citizens than Country Y. and 2. Country Y has more citizens than Country X. Case 1: Say, the number of citizens from Country X = 100 ...”
September 10, 2018
Jay@ManhattanReview posted a reply to On Monday morning a certain machine ran continuously at a un in the Data Sufficiency forum
“Statement 1: It alone is certainly not sufficient for we do not know the rate of the machine. Statement 2: The machine had filled 1/2 of the order by 10:30 a.m. and 5/6 of the order by 11:10 a.m. => Between 11:10 am to 10:30 am, i.e., in 40 minutes, the machine filled 5/6 – 1/2 = 1/3 of ...”
September 9, 2018
Jay@ManhattanReview posted a reply to What is a–b? in the Data Sufficiency forum
“Note that a^3 – b^3 = (a – b) (a^2 + ab + b^2). => a – b = (a^3 – b^3) / (a^2 + ab + b^2) Since each statement alone cannot return the unique value of (a – b), we need the values of (a^3 – b^3) and (a^2 + ab + b^2). Thus, a – b = (a^3 – b^3) / (a^2 + ab + b^2) = 117/39 = ...”
September 9, 2018
Jay@ManhattanReview posted a reply to Set A consists of 8 different integers from the list {1,3,5, in the Data Sufficiency forum
“There are 10 integers in the set {1,3,5,7,9,11,13,15,17,19}; out of which 8 integeras are to be chosen. If we freeze on the unique 8 integers, we get the value of standard deviation. Note that the computation of standard deviation is out of the scope of the GMAT; however, since this is a DS ...”
September 9, 2018
Jay@ManhattanReview posted a reply to The numbers x and y are NOT integers. The value of x is in the Data Sufficiency forum
“Let''s take each statement one by one. (1) 4 is the integer that is closest to x + y. => 4.5 > x + y ≥ 3.5 We do not have any information about y. Insufficient. (2) 1 is the integer that is closest to x – y. => 1.5 > x – y ≥ 0.5 We do not have any information ...”
September 7, 2018
Jay@ManhattanReview posted a reply to If a and b are positive integers, what is the value of a+b? in the Data Sufficiency forum
“We have a and b are positive integers. We have to get the value of a + b. Let''s take each statement one by one. (1) a/b = 5/8. Say a = 5k, thus, b = 8k, where k is any integer => a + b = 5k + 8k = 13k Since the value of k is not known, the unique value of a + b cannot be ...”
September 7, 2018
Jay@ManhattanReview posted a reply to There are three different hoses used to fill a pool: hose x, in the Problem Solving forum
“If there were only z hose in operation, the pool would fill in c days; however, since two more hoses are helping hose z, the pool would fill in less than c days; thus, d < c. Statement I is correct. Also, since b > c and d < c, we have d < b; thus, Statement II is incorrect. ...”
September 7, 2018
September 7, 2018
Jay@ManhattanReview posted a reply to X is a number which on squaring produces Y. If Y has 3 in the Problem Solving forum
“We have Y = X^2 such that Y has three factors. Question: How many such Xs are present in the first 20 natural numbers? Starting with X = 2, we have Y = 4; the factors of Y = 4 are 1, 2 and 4 -- three factors, so X = 2 is one such number. Same goes with X = 3 But X cannot be 4 since 4^2 = 16 ...”
September 7, 2018
Jay@ManhattanReview posted a reply to Bob invested $2000 in fund A and $1000 in fund B. Over the in the Problem Solving forum
“Note that Fund A earned a total interest of 12 percent for the two years combined; it means that the total interest for two years = 2000*12% = $240. You need not take the number of years (2 years) into consideration! Amount received for fund B after 2 years = 1000*(1 + 30%)^2 = 1000*(1.30^ = ...”
September 6, 2018
Jay@ManhattanReview posted a reply to A and B can complete a task in 20 days. B and C can complete in the Problem Solving forum
“We have 1. A and B can complete a task in 20 days. 2. B and C can complete the same task in 30 days. 3. A and C can complete the task in 40 days. From (1) and (2), we see that when A is replaced by C, the number of days to complete the same task increases (30 – 20 = 10 days more). This ...”
September 6, 2018
Jay@ManhattanReview posted a reply to At a certain baseball game, each of the spectators is either in the Data Sufficiency forum
“Say the number of Bullfrogs fan is b and the number of Chipmunks fans is c. We have to find out the value of b/c. Let''s take each statement one by one. (1) The number of Chipmunks fans among the spectators is 20% greater than the number of Bullfrogs fans. Say b = 100, then c = 100 + ...”
September 6, 2018
Jay@ManhattanReview posted a reply to Paula and Sandy were among those people who sold raffle in the Data Sufficiency forum
“Say Paula sold p and Sandy sold s tickets; thus p + s = 100 tickets Let''s take each statement one by one. (1) Sandy sold 2/3 as many of the raffle tickets as Paula did. => s = 2/3p We have s + p = 100 => 2p/3 + p = 100 => 5p/3 = 100 => p = 60. Sufficient. (2) Sandy sold 8 ...”
September 5, 2018
Jay@ManhattanReview posted a reply to integers in the Data Sufficiency forum
“Let''s take each statement one by one. 1) n is divisible by 3. n can be odd (say 3) or even (say 6). Insufficient. 2) 2n is divisible by twice as many integers as n. Case 1: Say n is odd; take n = 3, thus 2n = 6 Factors of n = 3: {1, 2, 3}; Factors of 2n = 6: {1, 2, 3, 6}. Number of ...”
September 5, 2018
Jay@ManhattanReview posted a reply to In the "Mashburn" pharmaceutical company there are in the Problem Solving forum
“Say the daily quota of Red machine is 100 pills; thus, the daily quota of Blue machine would be 100 +20% = 120 pills Thus, the half of the combined daily quota = 1/2 of (120 + 100) = 110 pills Given that Blue and Red machines work for 10 hours in a day, the rate of Blue machine = 120/10 = 12 ...”
September 5, 2018
Jay@ManhattanReview posted a reply to At a certain company, 60% of the employees are female, and in the Problem Solving forum
“The percent of females at the company who are engineers = (8/60)*100% = 16.67% Note that there are 8% females who are engineers and there are 60% females. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Visakhapatnam | GMAT ...”
September 5, 2018
Jay@ManhattanReview posted a reply to Andrew has a certain number of coins in his pocket. He has in the Problem Solving forum
“Say Dime is represented by d, Nickles by n and Quarter by q Thus, d = 3q; n = 6d. Thus, n = 3*6d = 18d Given, Andrew has a total of $10.15, we have 0.05n + 0.10d + 0.25q = 10.15 5n + 10d + 25q = 1015 n + 2d + 5q = 203 18q + 2*3q + 5q = 203; replacing the value of n and d 18q + ...”
September 4, 2018
Jay@ManhattanReview posted a reply to Of the 66 people in a certain auditorium, at most 6 people in the Data Sufficiency forum
“If we consider that in each of the 11 months, there are 6 people whose b''day fall in those months, we have 6*11 = 66 people. Since one month may be left, if it is January, the answer is No; however, if it is not, the answer is Yes. Let''s take each statement one by one. (1) More of the people ...”
September 4, 2018
Jay@ManhattanReview posted a reply to What is the probability that it will rain tomorrow? in the Data Sufficiency forum
“Needless to say that the Statement 1 is insufficient since we do not have any info about tomorrow. Statement 2 is also insufficient since we do not know that after the increase of the probability of tomorrow''s rain what is the figure? Even after combining the two statements, we cannot deduce ...”
September 4, 2018
Jay@ManhattanReview posted a reply to A store sold 6 bicycles with an average sale price of $1,000 in the Data Sufficiency forum
“Given that the store sold 6 bicycles with an average sale price of $1,000, the total price of the 6 bicycles were $6000. Let''s take each statement one by one. (1) The median price was $1,000. Certainly insufficient. It only states that the average of the prices of the 3rd and the 4th ...”
September 4, 2018
Jay@ManhattanReview posted a reply to Alex paid a $12 fee to receive a 10% discount off of the in the Problem Solving forum
“Amount paid by Alex = 12 + 90% of b = 12 + 0.90b Amount paid by Victor = 15 + 85% of b = 15 + 0.85b It is given that the amount paid by Alex equals the amount paid by Victor Thus, 12 + 0.90b = 15 + 0.85b => b = $60. The correct answer: B Hope this helps! -Jay ...”
September 4, 2018
Jay@ManhattanReview posted a reply to In the figure shown above, line segment QR has length 12, in the Problem Solving forum
“The question is posted correctly. The correct version is this: Area of MPRS = Area of MPQT + Area of TQRS Say the length of the square MPQT = x, thus, Area of MPQT = x^2 And, Area of TQRS = 12.x So, 540 = x^2 + 12x => x = 18. Area of TQRS = 12*18 = 216 The correct ...”
September 3, 2018
Jay@ManhattanReview posted a reply to permutation/combination in the Problem Solving forum
“Note that n objects can be arranged around a circle in (n−1)! ways Let us first choose any 8 people to sit on the first table; the number of ways = 17C8 ways. The selected 8 people can be seated in (8 − 1)! = 7! ways on the first table The remaining 9 people can be seated in (9 − 1)! ...”
September 3, 2018
Jay@ManhattanReview posted a reply to permutation/combination in the Problem Solving forum
“Let us list down the total number of ways... 1. If only one of the 6 boxes has a green ball. So, we have 6 ways. 2. If any two of the 6 boxes have green balls, then the 5 consecutive sets of 2 boxes are 12, 23, 34, 45, 56. 3. If any three of the 6 boxes have green balls, then the 4 consecutive ...”
September 3, 2018
Jay@ManhattanReview posted a reply to Which of the following fractions will terminate when express in the Problem Solving forum
“A fraction when reduced such that the numerator and the denominator are co-prime to each other and its denominator has factors of only 2 and 5 will terminate. For example, a fraction 21/750 will terminate since 21/750 can be reduced to 7/250, where 7 and 250 are co-prime and the denominator 250 ...”
September 3, 2018
Jay@ManhattanReview posted a reply to If p, q, and r are different positive integers such that p + in the Data Sufficiency forum
“Given that p, q, and r are different positive integers such that p + q + r = 6, we can deduce that p, q and r are 1, 2, and 3 (not respectively!). Any of them can have any value. Let''s take each statement one by one. (1) The average of x^p and x^q is x^r. Case 1: Say p = 1, q = 2 and r = ...”
August 31, 2018
Jay@ManhattanReview posted a reply to Durign a special promotion, a certain filling station is in the Problem Solving forum
“Say the price of per gallon of gas = $1 Thus, Total discount received by Kim = 10% of 1*(20 – 10) = $1 Kim''s total per-gallon discount = 1/20 = $0.05 Total discount received by Isabella = 10% of 1*(25 – 10) = $1.50 Kim''s total per-gallon discount = 1.5/25 = $0.06 Thus, ...”
August 31, 2018
Jay@ManhattanReview posted a reply to In a particular state, 70 percent of the countries received in the Problem Solving forum
“Percentage of countries received rain on either Monday or Tuesday or both = 100 – 25 = 75% Say, M = Countries received rain on Monday = 70%; T = Countries received rain on Tuesday = 65%; and M & T = Countries received rain on Monday and Tuesday Thus, 75% = M + T – M & T ...”
August 31, 2018
Jay@ManhattanReview posted a reply to If (x + y)/(xy) = 1, then y = in the Problem Solving forum
“We have (x + y)/(xy) = 1 => x + y = xy x = xy – y x = y(x – 1) y = x/(x – 1) The correct answer: A Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Warangal | GMAT Prep Dilsukhnagar | GRE Prep Begumpet | Visakhapatnam GRE ...”
August 31, 2018
Jay@ManhattanReview posted a reply to There are 200 cats in Cat-City. Out of the 200, 70 are in the Problem Solving forum
“Pl. find the solution here. https://s8.postimg.cc/fu15tli4x/Cats.png The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Visakhapatnam | GMAT Prep Warangal | GRE Prep Dilsukhnagar | Begumpet GRE Coaching | and many more... ...”
August 30, 2018
Jay@ManhattanReview posted a reply to If 4 is one solution of the equation x^2 + 3x + k = 10, in the Problem Solving forum
“Plugging-in the value of x = 4 in the equation x^2 + 3x + k = 10, we get 4^2 + 3*4 + k = 10 k = –18 Thus, the equation is x^2 + 3x – 18 = 10 => x^2 + 3x – 28 = 0 Factoring x^2 + 3x – 28 = 0, we get x^2 + 7x – 4x – 28 = 0 x(x + 7) – 4(x + 7) = 0 (x – 4)(x + 7) = ...”
August 30, 2018
Jay@ManhattanReview posted a reply to An animal shelter began the day Tuesday with a ratio of 5 in the Data Sufficiency forum
“Say beginning Tuesday, there were 5x cats and 11x dogs, where x is a positive integer. Let''s take each statement one by one. (1) No cats were adopted on Tuesday. No info about the adoption of dogs. Insufficient. (2) 4 dogs were adopted on Tuesday. No info about the adoption of cats. ...”
August 30, 2018
Jay@ManhattanReview posted a reply to If R is the radius of a certain circle, is the area of this in the Data Sufficiency forum
“Area of a circle = πR^2 Circumference of a circle = 2πR We have to determine whether πR^2 > 2πR => R > 2 Question rephrased: Is R > 2? 1. 0 < R < 3 If 0 < R ≤ 2, the answer is no; however, if 2 < R < 3, the answer is yes. No unique answer. ...”
August 29, 2018
Jay@ManhattanReview posted a reply to A barrel contains only red balls, white balls, and brown in the Data Sufficiency forum
“Say there r numbers of red, w numbers of white, and b numbers of brown balls. Thus, the total number of balls = r + w + b We have to find out: Probability that two brown balls will be selected = bC2 / (r + w + b)C2 = Hope this helps! -Jay _________________ Manhattan Review ...”
August 29, 2018
Jay@ManhattanReview posted a reply to An auto dealer sells each car at either $20,000 or $30,000. in the Data Sufficiency forum
“Note that some cars with cost price $20,000 may be sold with 20% markup, while some cars may be sold with 30% markup. The same goes for the cars with the cost price of $30,000. Let''s take each statement one by one. (1) 20 cars were sold for $20,000. Certainly insufficient. No idea about ...”
August 29, 2018
Jay@ManhattanReview posted a reply to If p = 3q, is p^2 > q^2? in the Data Sufficiency forum
“Hope you''ve considered p = q = 0. Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Dilsukhnagar | GMAT Prep Begumpet | GRE Prep Visakhapatnam | Warangal GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep ...”
August 28, 2018
Jay@ManhattanReview posted a reply to If a circle is inscribed in an equilateral triangle, what is in the Data Sufficiency forum
“Let''s solve this one logically. Only one circle can be inscribed in an equilateral triangle; thus, if we have the value of the area of the circle, we can get the value of the area of the equilateral triangle, and thereby the area of the triangle NOT taken up by the circle. Similarly, if we ...”
August 28, 2018
Jay@ManhattanReview posted a reply to A certain IT department of fewer than 15 people hires coders in the Data Sufficiency forum
“Say there are c numbers of Coders and s numbers of systems administrators such that 2 ≤ c + s < 15 Given: Total payout = 55000c + 45000s Question: What''s the unique value of c/s? Let''s take each statement one by one. (1) If two of the coders were made systems administrators instead, ...”
August 28, 2018
Jay@ManhattanReview posted a reply to What is the value of x? in the Data Sufficiency forum
“With such ugly-looking numbers, make sure that the given two equations are unique, i.e., they are two simultaneous equations guaranteeing unique values of x and y. Since the nature of y coefficients of the two equations is the opposite, (eqn (1)''s y coefficient is positive, while eqn (2)''s y ...”
August 26, 2018
Jay@ManhattanReview posted a reply to The average television prime-time advertising unit of 30 in the Problem Solving forum
“The approximate percent increase in the cost of a unit = E Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Kukatpally | GMAT Prep Jayanagar | GRE Prep Tarnaka | Madhapur GRE Coaching | and many more... Schedule your free consultation with an ...”
August 26, 2018
Jay@ManhattanReview posted a reply to A square garden is surrounded by a path of uniform width. If in the Problem Solving forum
“Say the length of the width = w Area of the path = Area of the path incl. garden – Area of the garden x = Area of the path incl. garden – x Area of the path incl. garden = 2x Area of the path incl. garden = (length of the garden + 2*width of the path)^2 Length of the garden = ...”
August 26, 2018
Jay@ManhattanReview posted a reply to A driver completed the first 20 miles of a 40 miles trip at in the Problem Solving forum
“Say the average speed the driver clocks for the remaining 20 miles to achieve an average speed of 60 miles per hour = x miles per hour The average speed of the 40 miles = Total distance / Total time = 40 / (20/50 + 20/x) 60 = 40 / (20/50 + 20/x) 20/50 + 20/x = 40/60 2/5 + 20/x = 2/3 ...”
August 26, 2018
Jay@ManhattanReview posted a reply to If x is the reciprocal of a positive integer, then the in the Problem Solving forum
“We have to maximize that value of x^y = x^(–x^2) = 1 / x^(x^2) Say the positive integer is a, thus, x = 1/a 1 / x^(x^2) = 1 / (1/a)^{(1/a)^2} = a^(1/a^2) So, We have to maximize that value of a^(1/a^2) Let''s try with options: A. a = 1: a^(1/a^2) = 1^(1/1^2) = 1 B. a = 2: a^(1/a^2) ...”
August 24, 2018
Jay@ManhattanReview posted a reply to If m and r are two numbers on a number line, what is the in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The distance between r and 0 is 3 times the distance between m and 0. There are two situations: 1. m and r on the same side of 0: => Say the distance between 0 and m is x, then the distance between 0 and r is 3x => Distance between m ...”
August 24, 2018
Jay@ManhattanReview posted a reply to In the xy-plane, the line k passes through the origin and in the Data Sufficiency forum
“Hey, You only asked this question o 25th July and I replied. Pl. search the question before posting. :) Here''s the post. https://www.beatthegmat.com/in-the-xy-plane-the-line-k-passes-through-the-origin-and-t303440.html#817405 Hope this helps! -Jay _________________ Manhattan Review ...”
August 23, 2018
Jay@ManhattanReview posted a reply to If a, b, and c are positive integers, what is the remainder in the Data Sufficiency forum
“Statement 1 does not state anything about b, and Statement 2 does not state anything about a, so the answer can be either C or E. b – a = (c + 1)^3 – c^3 = (c^3 + 3c^2 + 3c + 1) – c^3 = 3c^3 + 3c + 1 = 3(c^2 + c) + 1 =3(c^2 + c) + 1] / 3 = (c^2 + c) + 1/3 The remainder = 1. ...”
August 23, 2018
Jay@ManhattanReview posted a reply to A six-page spreadsheet is constructed so that each row displ in the Data Sufficiency forum
“1/6 should be 6/6. Since 1/6 implies that only a specific page is qualified, it is not correct. We know that all the six pages are identical, so each of the six pages qualifies. Thus, the probability that the number will be divisible by 3 = 6/6*24/72 = 1/3. The correct answer: A Hope this ...”
August 23, 2018
Jay@ManhattanReview posted a reply to Tough Problem Solving Question 700+ lvl in the GMAT Math forum
“Hey BrijNath, What''s the source of the question? This is a question based on the knowledge of Cricket (Sport), not popular in many countries. The GMAT will never ask a question that needs specialized knowledge. Also, pl. post the correct answer and mask it. By the way, I know Cricket, so ...”
August 23, 2018
Jay@ManhattanReview posted a reply to Twelve points are spaced evenly around a circle, lettered in the Problem Solving forum
“Let''s draw a circle with 12 equally spaced points, named A through L. Originating from the point A, make all the possible isosceles triangles: ∆ABL, ∆ACK, ∆ADJ, ∆AEI, and ∆AFH So, there are 5 isosceles triangles with vertex A. Since there are 12 points, we have 12*5 = 60 isosceles ...”
August 22, 2018
Jay@ManhattanReview posted a reply to Five friends Alastair, Bell, Cook, Darren and Eoin appeared in the Problem Solving forum
“Say the scores of Alastair, Bell, Cook, Darren and Eoin are a, b, c, d, and e, respectively. Thus, from the given information, we have d = c + 1/5 of c = 6c/5 a = d/2 = 3c/5 e = c + 2/5 of c = 7c/5 d = 3b/2 => b = 2d/3 = 2/3*(6c/5) = 4c/5 Given, the average score (arithmetic mean) ...”
August 22, 2018
Jay@ManhattanReview posted a reply to A tire store offered customers a 25 percent rebate on all in the Data Sufficiency forum
“Let''s take each statement one by one. (1) On Saturday, the store had $900 in tire sales, and total tire sales doubled on Sunday. Sale on Saturday = $900 Sale on Sunday = 2*$900 = $1800 Sale on Weekend = $900 + $1800 = $2700 Rebate = 25% of $2700 = Unique value. Sufficient (2) For ...”
August 22, 2018
Jay@ManhattanReview posted a reply to Is a^2 > 3a – b^4? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) 3a – b^4 = –5 => The question rephrased to: Is a^2 > –5? Since a^2 is a non-negative number, a^2 > –5. Sufficient. (2) a > 5 and b > 0 We have: Is a^2 > 3a – b^4? => a^2 –3a > –b^4 => a(a – 3) ...”
August 22, 2018
Jay@ManhattanReview posted a reply to Which of the following points could lie in the same quadrant in the Problem Solving forum
“Note that a and b can be positive or negative. Thus, the point in questions is (±a, ±b). Let''s take suitable values for a and b. Say a = ±1 and b = ±2. Thus, the point is (±1, ±2). Say the point is in 1. First quadrant: thus, the point is (1, 2) We see that all the options have at ...”
August 21, 2018
Jay@ManhattanReview posted a reply to Last month, a florist gave 7 percent of her sales revenue to in the Problem Solving forum
“Say, last month the sales revenue was $100, thus, the bonus = 7% of 100 = $7 Thus, this month the sales revenue would be $100 + 20% of 100 = $120, thus, the bonus = 5% of 120 = $6 Percentage by which the bonuses change from last month to this month = A Hope this helps! -Jay ...”
August 21, 2018
Jay@ManhattanReview posted a reply to If a and b are positive integers and x = 4^a and y = 9^b, in the Problem Solving forum
“We have to get the unit digit of xy = 4^a*9^b; where a and b are positive integers We know that the power cycle of 4 is 2, i.e., 4^a has the unit digits 4/6/4/6/4/6 ... Also, note that the power cycle of 9 is 2, i.e., 9^b has the unit digits 9/1/9/1/9/1 ... Unit digits of the product 4 with ...”
August 21, 2018
Jay@ManhattanReview posted a reply to Is z an even integer? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) z/2 is an even integer. z/2 = Even => z = 2*Even => z = Even*Even = Even The answer is Yes. Sufficient. (2) 3z is an even integer. => 3z = Even z = Even/3 Case 1: Say "Even = 6," then z = 6/3 = 2, an even integer. The ...”
August 21, 2018
Jay@ManhattanReview posted a reply to What is the probability that it will rain tomorrow? in the Data Sufficiency forum
“Certainly, each statement alone is not sufficient. We have to get the probability that it will rain tomorrow. By the information: If it rains today, the probability that it will rain tomorrow will increase by 10%, we get that if it rains today, the probability that it will rain tomorrow will ...”
August 20, 2018
Jay@ManhattanReview posted a reply to For the list of numbers above there is exactly one mode. Is in the Data Sufficiency forum
“The question is not complete. The list of the numbers is missing. Here is the complete question and the solution. A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Hyderabad | Mexico City | Toronto | and many more... Schedule your free ...”
August 20, 2018
Jay@ManhattanReview posted a reply to By what % did the median household income in country Y in the Data Sufficiency forum
“Certainly, each statement alone is insufficient as the first one does not provide any information about 1980, while the second one does not provide any information about 1970. (1) and (2) together: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New ...”
August 20, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“We know that out of k boys, Harvey and out of k girls, Jessica are selected for the dance performance. Harvey can be paired with any of the k girls; among k ways, only one way is such that Harvey and Jessica are paired. Thus, the probability that Harvey will be paired with Jessica = 1/k. Only ...”
August 20, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“We know that out of k boys, Harvey and out of k girls, Jessica are selected for the dance performance. Harvey can be paired with any of the k girls; among k ways, only one way is such that Harvey and Jessica are paired. Thus, the probability that Harvey will be paired with Jessica = 1/k. Only ...”
August 20, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“We know that out of k boys, Harvey and out of k girls, Jessica are selected for the dance performance. Harvey can be paired with any of the k girls; among k ways, only one way is such that Harvey and Jessica are paired. Thus, the probability that Harvey will be paired with Jessica = 1/k. Only ...”
August 20, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“We know that out of k boys, Harvey and out of k girls, Jessica are selected for the dance performance. Harvey can be paired with any of the k girls; among k ways, only one way is such that Harvey and Jessica are paired. Thus, the probability that Harvey will be paired with Jessica = 1/k. Only ...”
August 20, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“We know that out of k boys, Harvey and out of k girls, Jessica are selected for the dance performance. Harvey can be paired with any of the k girls; among k ways, only one way is such that Harvey and Jessica are paired. Thus, the probability that Harvey will be paired with Jessica = 1/k. Only ...”
August 20, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“We know that out of k boys, Harvey and out of k girls, Jessica are selected for the dance performance. Harvey can be paired with any of the k girls; among k ways, only one way is such that Harvey and Jessica are paired. Thus, the probability that Harvey will be paired with Jessica = 1/k. Only ...”
August 20, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“We know that out of k boys, Harvey and out of k girls, Jessica are selected for the dance performance. Harvey can be paired with any of the k girls; among k ways, only one way is such that Harvey and Jessica are paired. Thus, the probability that Harvey will be paired with Jessica = 1/k. Only ...”
August 20, 2018
Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“We know that out of k boys, Harvey and out of k girls, Jessica are selected for the dance performance. Harvey can be paired with any of the k girls; among k ways, only one way is such that Harvey and Jessica are paired. Thus, the probability that Harvey will be paired with Jessica = 1/k. Only ...”
August 20, 2018
Jay@ManhattanReview posted a reply to Cars Y and Z travel side-by-side at the same rate of speed in the Data Sufficiency forum
“I assume that car Y and car Z start from the same points on their respective road at the same time, else the answer would be E. Since car Y forked out at xº and evened out with car Z as shown in the diagram, car Y must increase its speed; compared to car Z, it traveled a greater distance. Since ...”
August 13, 2018