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 = ...”
Today
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 ...”
Today
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 ...”
Today
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 ...”
Today
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 ...”
Today
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, ...”
Yesterday
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
Jay@ManhattanReview posted a reply to The area of square region S is what percent greater than the in the Data Sufficiency forum
“Let''s take each statement one by one. 1) The length of a side of square S is 10% greater than the length of a side of square T. Say the length of the side of the square T is x unit; thus, the length of the side of the square S would be (x + 10% of x = 1.1x) unit => Area of the square T ...”
August 13, 2018
Jay@ManhattanReview posted a reply to Madge paid A dollars for R bananas. Dean paid B dollars for in the Data Sufficiency forum
“Given: Madge paid $A/R per banana Dean paid $B/S per banana Question: Which one of them paid a higher price-per-banana? Or, which between A/R and B/S is greater? Let''s take each statement one by one. 1) B > A Case 1: If S < R, the answer is B/S, i.e. compared to Madge, Dean ...”
August 10, 2018
Jay@ManhattanReview posted a reply to In the fraction x/y, where x and y are positive integers, in the Data Sufficiency forum
“Given: x/y is fraction such that x and y are positive integers. Question: What is the value of y? Let''s take each statement one by one. (1) The least common denominator of x/y and 1/3 is 6. => y is 2 or 6. No unique answer. Insufficient. (2) x = 1. Can''t get the value of y. ...”
August 10, 2018
Jay@ManhattanReview posted a reply to 10 students took a chemistry exam that was graded on a scale in the Data Sufficiency forum
“Given: There are 5 students in Dr. A''s class and there are 5 students in Dr. B''s class. They took a chemistry exam that was graded on a scale of 0 to 100. Question: Is the median score for Dr. A''s students greater than the median score for Dr. B’s students? Let''s take each statement one ...”
August 10, 2018
Jay@ManhattanReview posted a reply to The difference between positive two-digit integer A and the in the Data Sufficiency forum
“Say A is xy; thus, A = 10x + y Since B is smaller than A by twice A''s units digit, we have B = A – 2y = 10x + y – 2y = 10x –y So, we have A = 10x +y B = 10x – y We have to get the value of hundreds digit of the product of A and B = C Hope this helps! -Jay ...”
August 10, 2018
Jay@ManhattanReview posted a reply to 50% of the factory workers are not older than 30 years old. in the Data Sufficiency forum
“Given: 50% of workers = less than equal to 30 years Question: What percent of workers are less than 40 years? Let''s take each statement one by one. 1. 30% of the factory workers are older than 30 but younger than 40 years old. => 30% of workers = (30–40) Thus, the percentage of ...”
August 9, 2018
Jay@ManhattanReview posted a reply to In a product test of a common cold remedy, x percent of the in the Data Sufficiency forum
“Say, the number of patients who experienced ONLY side effects = S; the number of patients who experienced ONLY relief of cold symptoms = C; the number of patients who experienced BOTH side effects & relief of cold symptoms = B; the number of patients who experienced NEITHER side effects ...”
August 9, 2018
Jay@ManhattanReview posted a reply to Each of three students is given fifteen tokens to spend at a in the Data Sufficiency forum
“Say Amelia visited x numbers of tents that cost 3 tokens and y numbers of tents that cost 4 tokens => 3x + 4y ≤ 15 We have to get the value of x + y. Let''s take each statement one by one. (1) Amelia bought one token from another classmate and spent all the tokens in their ...”
August 9, 2018
Jay@ManhattanReview posted a reply to What is the probability of selecting a clean number from a in the Data Sufficiency forum
“Hi, The problem has an issue. It''s not well-drafted. Pl. see the discussion here: https://gmatclub.com/forum/what-is-the-probability-of-selecting-a-clean-number-from-a-s-139647.html -Jay _________________ Manhattan Review Locations: Manhattan Review Jayanagar | GMAT Prep Tarnaka | GRE ...”
August 9, 2018
Jay@ManhattanReview posted a reply to The Prime Sum of an integer XX greater than 1 is the sum of in the Data Sufficiency forum
“Given: Ratio of alcohol to water in the solution is 7 : 3 Question: How much water should be added to the solution so that the resulting solution contains 60% alcohol? Say alcohol = 7x ml and water = 3x ml and y ml water is added to make the solution containing 60% alcohol. => Alcohol / ...”
August 8, 2018
Jay@ManhattanReview posted a reply to Did one of the 3 members of a certain team sell at least 2 in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The 3 members sold a total of 6 raffle tickets yesterday. Case 1: All the 6 tickets sold by one member; thus, one of the 3 members sold at least 2 raffle tickets yesterday. The answer is Yes. Case 2: Two members sold 3 each; thus, one of the 3 ...”
August 8, 2018
Jay@ManhattanReview posted a reply to What is the 99th digit after the decimal point in the in the Problem Solving forum
“2/9 = 0.2222...; we see that the 99th digit would be ''2.'' 3/11 = 0.2727...; we see that the digits at odd places are 2,'' while that at even places are ''7.'' Since 99 is odd, the 99th digit would be ''7.'' Thus, the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11 = 2 ...”
August 8, 2018
Jay@ManhattanReview posted a reply to What is the remainder when 1555 * 1557 * 1559 is divided by in the Problem Solving forum
“Remainder when 1555*1557*1559 is divided by 13 = (Remainder when 1555 is divided by 13) * (Remainder when 1557 is divided by 13) * (Remainder when 1559 is divided by 13) Let''s find out the remainder when 1555 is divided by 13. Remainder when 1555 is divided by 13 = 8 (You have to literally ...”
August 8, 2018
Jay@ManhattanReview posted a reply to If AD is 6 and ADC is a right angle, what is the area of in the Data Sufficiency forum
“Since ABC is a triangular region, it implies that BDC points are collinear. Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Chennai | GMAT Prep Himayatnagar | GRE Prep Hyderabad | Bangalore GRE Coaching | and many more... Schedule your free ...”
August 7, 2018
Jay@ManhattanReview posted a reply to There is at least one red bal and at least one blue ball in in the Data Sufficiency forum
“Given "From any two balls from the box, at least one is a red ball," we can conclude that there is only one blue ball. If there were greater than 1 blue ball, say 2 blue balls, and we randomly pick two balls, there is a possibility that both the balls are blue. But this will invalidate ...”
August 7, 2018
Jay@ManhattanReview posted a reply to If the vertices of a triangle have coordinates (x, 1), in the Data Sufficiency forum
“On a coordinate plane, put the point (5, 1). Since we cannot fix the other two points (x, 1) and (5, y), we can draw the straight line passing through the vertex (5, 1). Somewhere on the line parallel to X-axis the vertex (x, 1) would lie and somewhere on the line parallel to Y-axis the vertex ...”
August 7, 2018
Jay@ManhattanReview posted a reply to If x and y are consecutive odd integers such that x < y, in the Data Sufficiency forum
“Another approach for those who are the fan of Algebra. Given: x and y are consecutive odd integers such that x < y Question: What is the value of y + x? Some examples of the consecutive odd integers x and y are -3, -5; -1, 1; 1, 3; 101, 103, etc. Say the consecutive odd integers are ...”
August 6, 2018
Jay@ManhattanReview posted a reply to If x and y are consecutive odd integers such that x < y, in the Data Sufficiency forum
“Given: x and y are consecutive odd integers such that x < y Question: What is the value of y + x? Let''s take each statement one by one. Some examples of the consecutive odd integers x and y are –3, –5; –1, 1; 1, 3; 101, 103, etc. (1) The product of xy is negative. Since the ...”
August 6, 2018
Jay@ManhattanReview posted a reply to If integer k is equal to the sum of all even multiples of 15 in the Problem Solving forum
“The first even multiples of 15 between 295 and 615 is 300 and the last one is 600. Thus, the terms are 300, 330, 360, ... 600. Total number of terms = C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Bangalore | GMAT Prep Chennai | GRE Prep ...”
August 6, 2018
Jay@ManhattanReview posted a reply to A data set with a mean of 60 has a standard deviation of 3.5 in the Problem Solving forum
“The standard deviation (SD) of a data set is a measure of how far the data points are deviated from the mean. One standard deviation means that data points are from 1*SD away from the mean. Thus, the range of data points falling within 1SD are (Mean – 1*SD) to (Mean + 1*SD) Thus, the number ...”
August 6, 2018
Jay@ManhattanReview posted a reply to if product X costs 15000 and product Y costs 27000 in the Problem Solving forum
“This is a classical Ratio/Proportion question. Product Y''s share in product Z will be given by "(Rate of Z)*C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Hyderabad | GMAT Prep Bangalore | GRE Prep Chennai | Himayatnagar GRE Coaching | and ...”
August 3, 2018
Jay@ManhattanReview posted a reply to mixtures in the Problem Solving forum
“Currently, the quantity of oil in the solution = xy/100 liters and the quantity of water in the solution = x – xy/100 liters Say p liters of oils is added; now, the total quantity of oil = xy/100 + p liters and the total quantity of solution = x + p liters Thus, the percentage of oil now = ...”
August 3, 2018
Jay@ManhattanReview posted a reply to At Western Spring School there are 150 total students who in the Data Sufficiency forum
“Say, the number of students who play ONLY Soccer = S; the number of students who play ONLY Tennis = T; and the number of students who play BOTH = B Thus, S + B + T = 150 We have to find out whether S + B > T + B => S > T Let''s take each statement one by one. (1) 50 ...”
August 3, 2018
Jay@ManhattanReview posted a reply to What percent of the children in the class are holding a in the Data Sufficiency forum
“Let''s take each statement one by one. (1) Half of the girls in the class are holding a Popsicle. No information about the boys. Insufficient. (2) Half of the boys in the class are holding a Popsicle. No information about the girls. Insufficient. (1) and (2) together Say there are ...”
August 3, 2018
Jay@ManhattanReview posted a reply to If n is a positive integer, is n - 1 divisible by 3? in the Data Sufficiency forum
“Given: n is a positive integer. Question: Is (n – 1) divisible by 3? Let''s take each statement one by one. (1) (n^2 + n) is not divisible by 6. => n(n + 1) is not divisible by 6 (= 2*3). We see that n and (n + 1) are two consecutive integers. Note that every second integer is ...”
August 3, 2018
Jay@ManhattanReview posted a reply to A comics bookstore has comics only of Superman, Batman and in the Data Sufficiency forum
“Since the question wants an answer in percent, we necessarily do not need actual values. Let''s take each statement one by one. (1) The ratio of the number comics of Flash, Batman and Superman, in the library is 2 : 7 : 5. Given, the ratio of the number comics of Flash, Batman and Superman ...”
August 3, 2018
Jay@ManhattanReview posted a reply to If r, s, and t are all positive integers, what is the remain in the Data Sufficiency forum
“Remainder rule for division by 10: Note that when a positive integer is divided by 10, the remainder is its units digit. For example, 50 divided by 10 returns a remainder of 0; 65 divided by 10 returns a remainder of 5; and 87 divided by 10 returns a remainder of 7. Power cycle of 2: The ...”
August 3, 2018
Jay@ManhattanReview posted a reply to The cost to ship a series of identical packages through in the Data Sufficiency forum
“Two things to correct... 1. For Statement 1, you put an equality sign; it should be greater than equal to sign. 40 + 6(x + 4 - 10) ≥ 220 => x ≥ 36, which is greater than 35. So the answer is yes. Sufficient. 2. In Statement 1, you assumed x = total number of packages, while in ...”
August 2, 2018
Jay@ManhattanReview posted a reply to integers in the Data Sufficiency forum
“Given: 2^x*5^y*z = 0.00064 => 2^x*5^y*z = 64/10^5 = 2^6/10^5 = 2^6/(2^5*5^5) = 2*5^(–5) => 2^x*5^y*z = 2*5^(–5) Let''s take each statement one by one. 1) z = 20 We have 2^x*5^y*z = 2*5^(–5) 2^x*5^y*20 = 2*5^(–5) 2^x*5^y*(2^2*5) = 2*5^(–5) 2^(x+2)*5^(y+1) = ...”
August 2, 2018
Jay@ManhattanReview posted a reply to At a business school conference with 100 attendees, are in the Data Sufficiency forum
“1) The range of ages of the participants is 22 to 30, inclusive. There are nine age groups: 22, 23, 24, 25, 26, 27, 28, and 29. We have no information about the number of schools. If all the 100 students are from the same school, there must be some students of the same age who attend the same ...”
August 2, 2018
Jay@ManhattanReview posted a reply to profit in the Data Sufficiency forum
“Given: x% discount is applicable to the whole amount if it is above $500. Question: Did John get the discount? Let''s take each statement one by one. 1) John paid $459 for the computer. If the list price is $459, John did not get the discount; however, if list price was above $500, he may ...”
August 2, 2018
Jay@ManhattanReview posted a reply to Is the sum of integers a and b divisible by 7? in the Data Sufficiency forum
“Question: Is the sum of integers a and b divisible by 7? Let''s take each statement one by one. (1) a is not divisible by 7. We know nothing about b. Insufficient. (2) a – b is divisible by 7. We cannot get to know whether (a + b) is divisible by 7. Insufficient. (1) and (2) ...”
August 2, 2018
Jay@ManhattanReview posted a reply to speed and distance in the Data Sufficiency forum
“Given: 1. Train X leaves LA at 10 am and travels east at a constant speed of x mph 2. Train Y leaves LA at 11:30 am and travels east at a constant speed of y mph Question: At what time will train Y catch train X? Train Y can catch train X if its speed y is greater than the speed of train X, ...”
August 2, 2018
Jay@ManhattanReview posted a reply to statistics in the Data Sufficiency forum
“Current average = y => Sum of X scores = xy Sum of scores (x + 1) after the addition of new score z = xy + z => New average = (xy + z)/(x + 1) Question: Is (xy + z)/(x + 1) = y + 50% of y = 1.5y? So, we need to determine whether (xy + z)/(x + 1) = 1.5y. Let''s take each statement ...”
August 2, 2018
Jay@ManhattanReview posted a reply to If both A and B are 2-digit positive even numbers, what is in the GMAT Math forum
“Given: A and B are 2-digit positive even numbers Question: What is the value of A? Let''s take each statement one by one. (1) Ratio of A to B is 1:9. A can be 10 (minimum value of a 2-digit positive even number). With A = 10, B = 90 (valid 2-digit positive even number). A cannot be 11 ...”
August 1, 2018
Jay@ManhattanReview posted a reply to A certain floor of an office building has 1,200 square feet in the Data Sufficiency forum
“Say the area of a conference room is x sq ft and the area of an office is y sq ft. Thus, 2x + 6y = 1200 => x + 3y = 600 Given that x > y. We need to determine whether x < 200 sq ft. Let''s take each statement one by one. (1) Each conference room must have a smaller area ...”
August 1, 2018
Jay@ManhattanReview posted a reply to There are four envelopes — E1, E2, E3 and E4— in which o in the Data Sufficiency forum
“What''s the source of the question? By reading the question, you get scared, but surprisingly, Statement 1 gives the straight answer. C2 knows that the letter belonging to him, L2, is put up in envelope E1. He will pick envelope E1. Sufficient. Statement 2 is certainly insufficient; however, ...”
August 1, 2018
Jay@ManhattanReview posted a reply to If x, y and z are different integers, what is the value of y in the Data Sufficiency forum
“Given: x, y and z are different integers Question: What is the value of y? Let''s take each statement one by one. 1) The average (arithmetic mean) of x, y and z is 2. => x + y + z = 6. Insufficient. 2) x < y < z Insufficient. (1) and (2) together There are can be many ...”
July 31, 2018
July 31, 2018
July 31, 2018
Jay@ManhattanReview posted a reply to What is the value of x? in the Data Sufficiency forum
“We see that there are two variables x and y. To get the value of x, we must know the value of y. We see that each of the statements gives a linear equation. If the two linear equations are not the same, we can solve for x. Upon simplifying each statement, you get the equation 2x – 5y – 6 = ...”
July 31, 2018
Jay@ManhattanReview posted a reply to If x and y are positive integers and y = in the Data Sufficiency forum
“Given: x and y are positive integers and y = (9 – x)^(1/2) Question: what is the value of y? We have y = (9 – x)^(1/2) Squaring both the sides, we have y^2 = (9 – x) You may plug in the possible values of x such that y is a positive integer. Only two set of values would work: x = ...”
July 31, 2018
Jay@ManhattanReview posted a reply to If (x+y)/z = -2, is x positive? in the Data Sufficiency forum
“Given: (x+y)/z = –2 Question: Is x positive? Let''s take each statement one by one. (1) z is negative. We have (x+y)/z = –2 => (x+y) = –2*–|z| => (x+y) = 2|z| => (x+y) = Positive x can be positive, 0 or negative. Insufficient. (2) y is positive. We have (x+y)/z ...”
July 31, 2018
Jay@ManhattanReview posted a reply to How many of the numbers x, y, and z are positive if each of in the Data Sufficiency forum
“Let''s take each statement one by one. (1) x + y + z = 20 Let''s maximize two of x, y and z so that we have the minimum possible value of the third number; this is an attempt to see if the third one turns out to be negative. Say x = y = 9.99 (maximum possible value) => x = 0.01 ...”
July 31, 2018
Jay@ManhattanReview posted a reply to A rope 40 feet long is cut into two pieces. If one piece is in the Problem Solving forum
“Say the shorter piece is x feet long; thus, the longer piece is (x + 18) feet long => x + (x + 18) = 40 => x = 11 feet The correct answer: B Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Bangalore | GMAT Prep Chennai | GRE Prep ...”
July 31, 2018
Jay@ManhattanReview posted a reply to Which of the following is NOT the sum of the squares of two in the Problem Solving forum
“This does not seem to be a genuine GMAT-like question. The first three options are easier ones, but the last two needs a hit and trail work. Anyways, here''s the solution. (A) 36 = 0^2 + 6^2: possible (B) 37 = 1^2 + 6^2: possible (C) 65 = 1^2 + 8^2: possible (D) 146 = 5^2 + 11^2: possible (E) ...”
July 31, 2018
Jay@ManhattanReview posted a reply to A card game called “high-low” divides a deck of 52 playi in the Problem Solving forum
“Complying with the condition that exactly 3 “low” cards must be drawn to earn 5 points, we must draw only one "High" card (each High card values 2 points). Thus, only four cards must be drawn: 1 High and 3 Low. Since the order is not important, the High card can be drawn in any of the ...”
July 31, 2018
Jay@ManhattanReview posted a reply to Martha receives an annual salary of $20,000 plus a in the Problem Solving forum
“Say n = total annual sales For Martha: Total Income = 20,000 + 10% of (n – 80,000) For Sandra: Total Income = 30,000 + 5% of n => 20,000 + 10% of (n – 80,000) = 30,000 + 5% of n 20,000 + 0.1*(n – 80,000) = 30,000 + 0.05n 0.1n – 8,000 = 10,000 + 0.05n 0.05n = 18,000 n = ...”
July 30, 2018
Jay@ManhattanReview posted a reply to A business firm reduces the number of hours its employees in the Problem Solving forum
“Since the number of hours now (36) is less than that earlier (40), while the payment is the same, the per hour rate is going to be greater than the current x dollars per hour. Only two options greater than x qualify, Option D and E. From 40 hours to 36 hours, the increment in rate is given by ...”
July 30, 2018
Jay@ManhattanReview posted a reply to A motorcycle travels at a speed of x kilometers per p hours. in the Problem Solving forum
“We have the following Distance travelled in p hours = x kilometers = 1000*x metres Distance travelled in p seconds = 1000*x/3600 = 5x/18 metres Distance travelled in 1 seconds = 1000*x/3600 = 5x/18p metres Distance travelled in s seconds = 1000*x/3600 = (5xs)/(18p) = sx/(3.6p) metres ...”
July 30, 2018
Jay@ManhattanReview posted a reply to Is the value of 3^a/3^b a prime number? in the Data Sufficiency forum
“We have to determine whether the value of 3^a/3^b a prime number. 3^a/3^b can be written as 3^(a – b). Question rephrased: Is 3^(a – b) a prime number? 3^(a – b) can be a prime number only if (a – b) = 1; for any other value, 3^(a – b) is not prime. You may try for 0, 2, –2, ...”
July 27, 2018
Jay@ManhattanReview posted a reply to Is x a positive number? in the Data Sufficiency forum
“Question: Is x a positive number? Let''s take each statement one by one. (1) (x – 2)^2 > 2 x can take any value: positive, 0, or negative. Insufficient. Say, x = 0, then (x – 2)^2 > 2 => (0 – 2)^2 > 2 => 4 > 2. Say, x = 4, then (x – 2)^2 > 2 => (4 – ...”
July 27, 2018
Jay@ManhattanReview posted a reply to After each throw of a red die, the face that shows is marked in the Problem Solving forum
“1. First throw: Since all the six faces are red, any face would do; so the probability = 6/6 = 1 2. Second throw: Since one face is blue and five are red, and we need any of the five faces, the probability = 5/6 3. Third throw: Since the two faces are blue and four are red, and we need any of the ...”
July 27, 2018
Jay@ManhattanReview posted a reply to An integer n that is greater than 1 is said to be "prim in the Problem Solving forum
“Pl. find the solution here: https://www.beatthegmat.com/an-integer-n-that-is-greater-than-1-is-said-to-be-t300317.html -- a crisp explanation by Brent -Jay _________________ Manhattan Review Test Prep Locations: Manhattan Review Chennai | Free GMAT Practice Test | GRE Prep Hyderabad | ...”
July 27, 2018
Jay@ManhattanReview posted a reply to A jar contains 12 marbles consisting of an equal number of in the Problem Solving forum
“So the situation is that there are 4 marbles each of red, green, and blue colors. We have to find out the probability that only two colors will remain in the jar after the four marbles have been removed and discarded. Say the 4 marbles removed are red, thus, the probability that only ...”
July 27, 2018
Jay@ManhattanReview posted a reply to The youngest of 4 children has siblings who are 3, 5, and 8 in the Problem Solving forum
“Say the age of the youngest of 4 children is x, thus, the ages of the other three children are (x+3), (x+5) and (x+8), respectively. The sum of ages of the four children = x + (x+3) + (x+5) + (x+8) = 4x + 16 Average = (4x + 16)/4 = 21 => x + 4 = 21 => x = 17 The correct answer: A ...”
July 26, 2018
Jay@ManhattanReview posted a reply to If m and n are positive integers, and if p and q are in the Data Sufficiency forum
“Given: (1) m and n are positive integers, and (2) p and q are different prime numbers Question: Is p/q ≠ n/m? Let''s take each statement one by one. (1) Neither n nor m is a prime number. Case 1: Say p/q = 2/3 and n/m = 4/9, then p/q ≠ n/m. The answer is Yes. Case 2: Say p/q = 2/3 ...”
July 26, 2018
Jay@ManhattanReview posted a reply to At a two-candidate election for mayor, 3/4 of the registered in the Data Sufficiency forum
“Given: 3/4 of the registered voters cast ballots => 1 – 3/4 = 1/4 of the registered voters who did not cast ballots To find: Number of registered voters who cast ballots for the winning candidate Let''s take each statement one by one. (1) 25000 registered voters did not cast ballots ...”
July 26, 2018
Jay@ManhattanReview posted a reply to What is the value of x? in the Data Sufficiency forum
“We have to determine the value of x. Let''s take each statement one by one. (1) | y| ≤ −3x Since |y| is a non-negative number and −3x is greater than |y|, −3x must also be a non-negative number. For that to happen x ≤ 0, or x must be a non-positive number. But we can''t get the ...”
July 26, 2018
Jay@ManhattanReview posted a reply to PQP is a three-digit number having digits P and Q; and RQS5 in the Data Sufficiency forum
“Pl. find it here https://www.beatthegmat.com/pqp-is-a-three-digit-number-having-digits-p-and-q-t295374.html -Jay _________________ Manhattan Review Test Prep Locations: Manhattan Review Himayatnagar | Free GMAT Practice Test | GRE Prep Jayanagar | Madhapur GRE Coaching | and many more... ...”
July 26, 2018
Jay@ManhattanReview posted a reply to The price of martha's meal was $10, and she left a tip that in the Data Sufficiency forum
“Given Same left a tip of $1.50, which is s% of the price of the meal, the price of the meal = 1.50/s% = 1.50*(100/s) = 150/s. If we get the value of s, we get the answer. Given Martha left a tip of $1.50, which is r% of the price of the meal ($10), 10 = 1.50/r% => r% = 1.5/10 => r = 15 ...”
July 26, 2018
Jay@ManhattanReview posted a reply to What is the value of a positive integer k? in the Data Sufficiency forum
“There is a mistake in your approach. You assumed the same quotient q for both the statements; however, it is not so. For Statement I: k = 5p + 3 and for Statement II: k = 3q + 2, where p and q are quotient (p and q need not be same) So, from both the relationships (k = 5p + 3 and k = 3q + 2), ...”
July 25, 2018
Jay@ManhattanReview posted a reply to If p is a positive integer, and p ≠ 0, is (p^2+p)/(2p) an in the Data Sufficiency forum
“Given: p is a positive integer, and p ≠ 0 To find: Is (p^2+p)/(2p) an integer (p^2+p)/(2p) can be written as p(p + 1)/(2p) = (p + 1)/2 So, we need to determine whether (p + 1)/2 is an integer. For (p + 1)/2 to be an integer, (p + 1) must be even or p must be odd. Question ...”
July 25, 2018
Jay@ManhattanReview posted a reply to If the average of 7 numbers is 72, how many of the numbers in the Data Sufficiency forum
“Given: The average of 7 numbers is 72. To find: How many of the numbers are equal to 72? Let''s take each statement one by one. (1) Of the seven numbers, six are odd integers, and the average of those integers is 72. Since 72 is an even number, and six of the seven numbers are odd, we ...”
July 25, 2018
Jay@ManhattanReview posted a reply to In the xy-plane, the line k passes through the origin and in the Data Sufficiency forum
“Given: In the xy-plane, the line k passes through the origin and through the point (a, b), where ab ≠ 0. To find out: Is b positive? Let''s take each statement one by one. (1) The slope of the line is negative. => The line passes through the quadrant II and IV. If point (a, b) ...”
July 25, 2018
Jay@ManhattanReview posted a reply to If x and y are greater than 0, is x = 1 ? in the Data Sufficiency forum
“Given: x and y are greater than 0. To find: Is x = 1? Let''s take each statement one by one. (1) x/y = 1 => x = y. If x = y = 1, the answer is yes, else no, for example x = y = 1/2. Insufficient. (2) xy = 1 If x = y = 1, the answer is yes; however, for example x = 1/2 and y ...”
July 25, 2018
Jay@ManhattanReview posted a reply to If 72 cupcakes must be divided equally among the students in in the Data Sufficiency forum
“Say there are x number of students, thus, each would get 72/x cupcakes. Let''s take each statement one by one. (1) If the number of students is reduced by one-third, each student will receive 3 more cupcakes. => The number of students, now = x – x/3 = 2x/3 Thus, each would get ...”
July 25, 2018
Jay@ManhattanReview posted a reply to The profit earned by selling a commodity is generally given in the Data Sufficiency forum
“Say the selling price = x and the cost = y Thus, Profit = x – y To find out: Percentage increase in profit next year, if both the price and the cost increase Let''s take each statement one by one. (1) Next year, the cost of the commodity to retailers will increase by 9%. No ...”
July 24, 2018
Jay@ManhattanReview posted a reply to How long, in minutes, did it take a bicycle wheel to roll in the Data Sufficiency forum
“Yes, this is fine. There is no need to calculate the answer once you are satisfied that the values of all the variables are given and you get a unique value. Sufficient. -Jay _________________ Manhattan Review Test Prep Locations: Manhattan Review Bangalore | Chennai | GRE Prep Hyderabad | ...”
July 24, 2018
Jay@ManhattanReview posted a reply to Machines X and Y produced identical bottles at different in the Data Sufficiency forum
“This is fine. An efficient approach. :) -Jay _________________ Manhattan Review Test Prep Locations: Manhattan Review Bangalore | Chennai | GRE Prep Hyderabad | Himayatnagar GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
July 24, 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 To find out: Is t < 0? Let''s take each statement one by one. (1) –1 < r < 0 No information about t. Insufficient. (2) The distance between R and T is equal to r^2 No information about the ...”
July 24, 2018
Jay@ManhattanReview posted a reply to A tank containing water started to leak. Did the tank in the Data Sufficiency forum
“Given: A tank containing water started to leak To find out: Did the tank contain more than 30 gallons of water when it started to leak? Let''s take each statement one by one. (1) The water leaked from the tank at a constant rate of 6.4 ounces per minute. Certainly insufficient as we do ...”
July 24, 2018
Jay@ManhattanReview posted a reply to Is the number of seconds required to travel d1 feet at r1 in the Data Sufficiency forum
“Given: 1. Number of seconds required to travel d1 feet at r1 feet per second = d1/r1 2. Number of seconds required to travel d2 feet at r2 feet per second = d2/r2 To find out: Is d1/r1 > d2/r2? Let''s take each statement one by one. (1) d1 is 30 greater than d2. No information ...”
July 23, 2018
Jay@ManhattanReview posted a reply to Three quarters, three dimes, and x nickels are the only in the Data Sufficiency forum
“Given: There are 3 quarters, 3 dimes, and x nickels in the jar. To find out: The probability that the total value of the coins drawn is less than 50 cents Let''s take each statement one by one. (1) The probability of getting a total value of more than or equal to fifty cents is .83. ...”
July 23, 2018
Jay@ManhattanReview posted a reply to At a bakery, cakes are sold every day for a certain number in the Data Sufficiency forum
“Say the number of days for which cakes were sold be 10. The median number of cakes sold would be on 5.5th day, i.e. the average of 5th days and the 6th day. From the information, "6 or more cakes were sold for 20% of the total number of days," the number of days, 6+ cakes were sold ...”
July 23, 2018
Jay@ManhattanReview posted a reply to If m is a two-digit number, what is the remainder when m is in the Data Sufficiency forum
“Given: m is a two-digit number. To find out: The remainder when m is divided by 3. Let''s take each statement one by one. (1) m+1 is divisible by 3. Since m+1 is divisible by 3, m is not divisible by 3, leaving a remainder of 3 – 1 = 2. Sufficient. You may take a few examples. Say ...”
July 23, 2018
Jay@ManhattanReview posted a reply to What is the units digit of positive integer p? in the Data Sufficiency forum
“We have to get the units digit of positive integer p. Let''s take each statement one by one. (1) When p is divided by 10, the remainder is 8. Say the quotient is q, then we have p = 10q + 8, where q = a non-negative integer For q = 0, 1, 2, 3,..., we have p = 8, 18, 28, 38, ... We see ...”
July 21, 2018
Jay@ManhattanReview posted a reply to The largest bonus that Felix can receive this year is equal in the Data Sufficiency forum
“Say annual salary is $x. Thus, the largest bonus = 20% of x = 0.2x And the smallest bonus = 30% of 0.2x = 0.06x Let''s take each statement one by one. 1. The smallest possible bonus that Felix can receive this year is $4800.00. => 0.06x = $4800. We can get the unique value of x. ...”
July 21, 2018
Jay@ManhattanReview posted a reply to What is the average of x and y? in the Data Sufficiency forum
“The average of x and y is given by (x + y)/2. Let''s take each statement one by one. 1. x + y = 20 => (x + y)/2 = 20/2 = 10. Sufficident. 2. 2x + 4y = 54 => x + 2y = 27. Can''t get the unique value of (x + y)/2. Insufficient. The correct answer: A Hope this helps! ...”
July 21, 2018
Jay@ManhattanReview posted a reply to If t is a positive integer and r is the remainder when in the Data Sufficiency forum
“Given: t is a positive integer and r is the remainder when t^2 + 5t + 6 is divided by 7 So, we have to find out the remainder of (t^2 + 5t + 6)/7 = the remainder of (t^2/7 + t/7 + 6/7) Let''s take each statement one by one. (1) When t is divided by 7, the remainder is 6. => the ...”
July 20, 2018
Jay@ManhattanReview posted a reply to If a, b, c and d are distinct numbers, can b be the average in the Data Sufficiency forum
“If b is the average of a, b, c and d, then b = (a + b + c + d)/4 => 3b = a + c + d Let''s take each statement one by one. (1) a + c = 2d Assuming that b is the average of a, b, c and d, then 3b = a + c + d Replacing the value of Statement 1: a + c = 2d in 3b = a + c + d, we get b = ...”
July 20, 2018
Jay@ManhattanReview posted a reply to A student took five papers in an examination, where the full in the Problem Solving forum
“Since the ratio 6 : 7 : 8 : 9 : 10 is equally spaced and the full marks are the same for each paper, the average marks in five papers would be the middle-most, i.e., 8. Since it is given that the candidate obtained 60% of the total marks (Average of all the papers), 8 represents 60%. Needless to ...”
July 20, 2018
Jay@ManhattanReview posted a reply to In how many different ways can a group of twelve people be in the Problem Solving forum
“For the first person, we can pick a pair in 11 ways; For the second person, we can pick a pair in 9 ways (as two persons are already chosen); For the third person, we can pick a pair in 7 ways (as four persons are already chosen); For the fourth person, we can pick a pair in 5 ways (as six ...”
July 20, 2018
Jay@ManhattanReview posted a reply to A circle is drawn inside a larger circle. If B and C are in the Data Sufficiency forum
“This diagram will help understand why the correct answer is E. https://s8.postimg.cc/u6lx0zcch/Concentric.png We see that A, B, C, and D all lie on the same line and AD is a diameter of the larger circle, and BC is a diameter of the smaller circle; however, the two circles are not concentric. ...”
July 19, 2018
Jay@ManhattanReview posted a reply to On each lab that René completed he received either 100 in the Data Sufficiency forum
“You have done all correct. :) My take: Picking from the linear equation, 20x + 17y = 228 Though this is a linear equation, implying no unique solutions, we must not forget that two conditions are hidden in it. 1. x & y > 0 and 2. x & y are integers. From 20x + 17y = 228, we ...”
July 19, 2018
Jay@ManhattanReview posted a reply to In the rectangular coordinate system above, if OP < PQ, in the Data Sufficiency forum
“In the diagram, it is given that OP < PQ. We have to determine whether the area of region OPQ greater than 48. Area of the triangle OPQ = 1/2*Base*Height = 1/2*OQ*Height To get the height of the triangle OPQ, we must drop a perpendicular from point P on the Base OQ. Say the perpendicular ...”
July 19, 2018
Jay@ManhattanReview posted a reply to Patrick purchased 80 pencils and sold them at a loss equa in the Problem Solving forum
“Say the cost price of one pencil is x and the selling price of one pencil is y. Thus, loss in selling 80 pencils = 80(y – x) This loss is equal to the selling price of 20 pencils = 20y Since 80(y – x) is a loss, it is a negative quantity, thus, we must equate –80(y – x) with 20y. ...”
July 18, 2018
Jay@ManhattanReview posted a reply to If the area of quadrilateral ABCD equal to area of in the Data Sufficiency forum
“The correct answer is C. Let''s see how. I suggest you plot all the five points A, B, C, D, and E on the coordinate plane. We have to determine whether the area of quadrilateral ABCD equal to the area of quadrilateral AECD. The area of quadrilateral ABCD = The area of triangle ACD + ...”
July 18, 2018
Jay@ManhattanReview posted a reply to If n and k are positive integers, is \sqrt{n+k} > 2\sqrt{ in the Data Sufficiency forum
“Statement 2 is insufficient since n + k > 3n => k > 2n. From the inequality k> 2n, we cannot be sure whether k> 3n. It may or may not be. Insufficient. The correct answer: A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan ...”
July 18, 2018
Jay@ManhattanReview posted a reply to A, B, and C can complete a piece of work in 24 days, 40 days in the Data Sufficiency forum
“Hi, Your approach is fine. Upon solving (1/24 + 1/40+ 1/60) *2 + (1/24 + 1/60) *5 + (1/24)*x = 1, you will bget the unique value of x. This is a linear equation, thus, only one value of x will result. Sufficient. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan ...”
July 18, 2018
Jay@ManhattanReview posted a reply to What is the value of 2x/3y? in the Data Sufficiency forum
“We have to get the value of 2x/3y. If we get the unique value of x/y, we get the answer. Question rephrased: What''s the value of x/y? Let''s take each statement one by one. (1) x^2/y^2 = 36/25 => x/y = ±6/5. No unique value of x/y; it can be 6/5 or –6/5. Insufficient. (2) ...”
July 17, 2018
Jay@ManhattanReview posted a reply to At a particular university with 200 students 30% receive in the Data Sufficiency forum
“This is all fine. Cheers. :) -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Chennai | Hyderabad | GRE Prep New Delhi | Tarnaka GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
July 17, 2018
Jay@ManhattanReview posted a reply to If a horse runs his first lap in 75 seconds, how long will in the Data Sufficiency forum
“Given: The horse runs his first lap in 75 seconds. To find out: Time taken by the horse to complete three laps Let''s take each statement one by one. (1) Each lap the horse''s speed decreased 20 percent from the previous lap. Time in the I lap = 75 sec. Time in the II lap = 75 + 20% = ...”
July 17, 2018
Jay@ManhattanReview posted a reply to Three business partners owned 100% of a certain company. in the Data Sufficiency forum
“This is perfect. :) -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mumbai | Hyderabad | GRE Prep Warangal | Begumpet GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
July 16, 2018
Jay@ManhattanReview posted a reply to Last year Roger, Shelly, and Terry each contributed money to in the Data Sufficiency forum
“This is efficient and apt. All''s fine. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mumbai | Hyderabad | GRE Prep Warangal | Begumpet GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
July 16, 2018
Jay@ManhattanReview posted a reply to Did Insurance Company K have more than $300 million in total in the Data Sufficiency forum
“What''s the source of the question? It does not seem to be a GMAT type. To get the Net Profits, one must know the Revenue and the Expenses. Considering both the statements, we cannot assume whether the Net Profit is to be calculated from $150; there may be other expenses such as remuneration and ...”
July 16, 2018
Jay@ManhattanReview posted a reply to What is the volume, in cubic feet, of a rectangular room in the Data Sufficiency forum
“Statement 2 is insufficient not because how you dealt it. xy is not necessarily equal to yz = 100. The statement states that "the area of each of two facing walls of this room is 100 square feet." So, either xy = 100 or yz = 100 or can be both. Thus, we cannot get the unique value of xyz ...”
July 15, 2018
Jay@ManhattanReview posted a reply to Two cars are racing along two concentric circular paths. in the Data Sufficiency forum
“We know that Speed = Distance/Time Say, the speed of the car on outer circle = A, the distance traveled = x, the speed of the car on inner circle = B and the distance traveled = y Since both the cars complete the lap in the same amount of time, we have Ax = By (since Speed * Distance = ...”
July 15, 2018
Jay@ManhattanReview posted a reply to Danny bought some packets of pens, each packet at a cost in the Data Sufficiency forum
“This is perfect. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Dilsukhnagar | Hyderabad | Chennai GRE Courses | Madhapur GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
July 15, 2018
Jay@ManhattanReview posted a reply to Car P and car Q competed in the same 300-kilometer race. in the Data Sufficiency forum
“This is perfect. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Dilsukhnagar | Hyderabad | Chennai GRE Courses | Madhapur GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
July 15, 2018
Jay@ManhattanReview posted a reply to On a hot summer day, a coffee and tea shop sold a container in the Data Sufficiency forum
“Had the number of containers of coffee beans and the number containers of tea bags were equal, the average (arithmetic mean) of all containers of coffee beans and tea bags sold that day would have been (15 + 25)/2 = 20. However, the actual figure is $21 > $20. Since $21 is closer to $25 than to ...”
July 15, 2018
Jay@ManhattanReview posted a reply to A certain store sells chairs individually or in sets of 6 in the Data Sufficiency forum
“I think this is the most efficient approach. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Dilsukhnagar | Hyderabad | Chennai GRE Courses | Madhapur GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! ...”
July 15, 2018
Jay@ManhattanReview posted a reply to What is the average temperature from monday through in the Data Sufficiency forum
“Say the per day temperatures of the six days are given by M, T, W, Th, F, and S. We have to find the value of (M + T + W + Th + F + S)/6. Let''s take each statement one by one. (1) The average temperature from Monday through Wednesday of the week is 36°C. => (M + T + W)/3 = 36 => ...”
July 15, 2018
Jay@ManhattanReview posted a reply to A certain movie depicted product A in 21 scenes, product B in the Data Sufficiency forum
“What you''ve done is fine. Here''s another approach. The ratio of the number of scenes for the products: A : B : C : D :: 21 : 7 : 4 : 3 From (1), we know that the manufacturers of products A and B together paid a total of $560,000 for this advertising. Thus, from, A : B : C : D :: 21 : 7 ...”
July 15, 2018
Jay@ManhattanReview posted a reply to Brand A bike costs twice as much as the Brand B bike. in the Data Sufficiency forum
“To compare the total expenditure on the bikes, we must know the starting times, i.e., when the two bikes were purchased, the purchase price and the maintenance cost of any bike. Let''s take each statement one by one. (1) The monthly maintenance cost of the Brand A is 5% of the cost of the ...”
July 15, 2018
Jay@ManhattanReview posted a reply to What is the area of the shaded region, if the area of the in the Problem Solving forum
“Pl. refer to this question: https://www.beatthegmat.com/triangle-inside-a-circle-t90961.html Hope this helps. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Madhapur | Hyderabad | Bangalore GRE Courses | Dilsukhnagar GRE Coaching | and many more... ...”
July 9, 2018
Jay@ManhattanReview posted a reply to The average age of a class of 10 students is 15. in the Problem Solving forum
“This is perfect. :) -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Madhapur | Hyderabad | Bangalore GRE Courses | Dilsukhnagar GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
July 9, 2018
Jay@ManhattanReview posted a reply to The perimeter of a polygon is 16. If the sides of the in the Problem Solving forum
“Given: The perimeter of a polygon is 16. The sides of the polygon are all of integer length, the shortest side of the polygon is 2 and the longest side of the polygon is 5. To find out: Possible number of sides of the polygon. Say the polygon has n sides; thus, we have to find out the minimum ...”
July 9, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 Machine R and machine S work in the Data Sufficiency forum
“Given: Machine R and machine S work at their respective constant rates To find: Time taken by machine R, working alone, to complete a certain job Let''s take each statement one by one. (1) The amount of time that it takes machine S, working alone, to complete the job is 3/4 the amount of ...”
July 7, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 Last semester, Professor K taught in the Data Sufficiency forum
“Given: Each student in class A handed in 7 assignments, and each student in class B handed in 5 assignments To find out: Number of students in class A Let''s take each statement one by one. (1) The students in both classes combined handed in a total of 85 assignments. Say there are a ...”
July 7, 2018
Jay@ManhattanReview posted a reply to Og-18 in the Data Sufficiency forum
“Given: r & t are 3-digit positive integers We have to determine whether r >t. Say r = xyz and t = pqr, where x, yz, p, q, and r are single digits, except 0. Let''s take each statement one by one. 1) the tens digit of r is > each of the 3 digits of t. => y > p, q, and ...”
July 7, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 Each of the 256 solid-colored in the Data Sufficiency forum
“Given: There are a total of 256 blue, green, or purple marbles. Say the number of blue marbles = b, the number of green marbles = g, and the number of purple marbles = p. We have to determine the ratio of the value of b/p. Let''s take each statement one by one. (1) The number of green ...”
July 4, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 If a + b + c = 12 in the Data Sufficiency forum
“Given: a + b + c = 12 We have to determine the value of b. Let''s take each statement one by one. (1) a + b = 8 We can get the value of c (= 12 – 8 = 4), but not b. Insufficient. (2) b + c = 6 We can get the value of a (= 12 – 6 = 6), but not b. Insufficient. (1) and (2) ...”
July 4, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 Each of the n employees at in the Data Sufficiency forum
“Given: Each of the n employees at a certain company has a different annual salary. We have to determine the median of the annual salaries of the n employees. Let''s take each statement one by one. (1) When the annual salaries of the n employees are listed in increasing order, the median is ...”
July 4, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 The 10 students in a history in the Data Sufficiency forum
“Given: 10 students in a history class recently took an examination We have to find out the maximum score on the examination. Let''s take each statement one by one. (1) The mean of the scores was 75. Certainly not sufficient as there cannot be a unique value for the maximum score. If each ...”
July 4, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 Was the amount of John's in the Data Sufficiency forum
“We have to determine whether the amount of John''s heating bill for February is greater than that for January. Let''s take each statement one by one. (1) The ratio of the amount of John''s heating bill for February to that for January was 26/25. Say John''s heating bill for February = 26x, ...”
July 3, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 In a real estate office that in the Data Sufficiency forum
“To get the value of n, we need to know the value of f and m, where m is the number of male employees. Let''s take each statement one by one. (1) If an employee were randomly selected from n employees, the probability of selecting a female would be 2/3. => f = 2n/3 We don''t have any ...”
July 3, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 In a certain class, some in the Data Sufficiency forum
“"The average (arithmetic mean) number of cans donated per student in the class" is given by Number of cans / Number of students in the class Say, the number of cans = C and the number of students in the class = S Thus, we have to get the value of C/S. Let''s take each statement ...”
July 3, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 How many men are in a in the Data Sufficiency forum
“We need a unique value for the number of men. Statement 1 gives a ratio value. The number of men could be 3, 6, 9, 12, 15,... any number. Statement 2 is a useless information. The capacity of a van is not a universal fact, which one must know. It can''t help. The correct answer: E Hope this ...”
July 3, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 Ron is 4 inches taller than in the Problem Solving forum
“We have: 1. Ron is 4 inches taller than Amy 2. Barbara is 1 inch taller than Ron 3. Barbara''s height is 65 inches We have to find the median height, in inches, of these three people. We see that among Ron, Barbara, and Amy, Barbara is the tallest, and Amy is the shortest. Since median ...”
July 3, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 A bicycle store purchased two in the Problem Solving forum
“Total cost of both the bicycles = 250 + 375 = 625 Thus, the total revenue from both the bicycles = Total cost of both the bicycles + Gross Profit = 625 + 250 = 825 We are given that the store sold one of the bicycles for $450, thus, the store must have sold another bicycle for 825 – 450 = 425 ...”
July 3, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 While a family was away on in the Problem Solving forum
“Amount paid to mow = 11*3 = $33 Amount paid to feed and walk the dog = 4*(3*7) = $84 Amount paid to the boy = 33 + 84 = $117 The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mehdipatnam | Hyderabad GMAT Prep | ...”
July 3, 2018
Jay@ManhattanReview posted a reply to 50 children attended a carnival where cotton candy in the Problem Solving forum
“This is perfect. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Madhapur | Hyderabad GMAT Prep | Bangalore GMAT Courses | Himayatnagar GRE Prep | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
July 2, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 The price of gasoline at a in the Problem Solving forum
“Gallons Sally bought last week = 26.40/1.65 Amount Sally will have to pay this week = D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Madhapur | Hyderabad GMAT Prep | Bangalore GMAT Courses | Himayatnagar GRE Prep | and many more... ...”
July 2, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 A certain store will order 25 in the Problem Solving forum
“We have W + M + R = 25 such that W > M and W > R. We have to minimize the value of W. Given, W > M and W > R, we can maximize the values of M and R such that W is minimum. Say M = R = x Thus, from W + M + R = 25, we have W + x + x = 25 Had W and x were equal, W = x = 25/3 ...”
July 2, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 If xy ≠ 0, is in the Data Sufficiency forum
“Given: xy ≠ 0 => None of x and y is 0. We have to determine whether x^3 + y^3 > 0. Let''s take each statement one by one. (1) x + y > 0 Case 1: If both x and y are positive, then x^3 + y^3 > 0. The answer is Yes. Case 2: Say one of x and y is positive and the other is ...”
July 1, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 On June 1, Mary paid Omar in the Data Sufficiency forum
“Given: Amount paid in June for Rent + Utilities = $360 We have to find out the money Omar refund to Mary. Let the fixed per month rent be $x and the per day utilities be $y per day. Thus, x + 30y = 360 Let''s take each statement one by one. (1) Mary moved out on June 24. The amount ...”
July 1, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 In a recent town election in the Data Sufficiency forum
“We have to find out the ratio of the number of votes in favor of a certain proposal to the number of votes against the proposal Say, the number of votes in favor of a certain proposal = x, and the number of votes against the proposal = y Thus, we have to get the value of x/y. Let''s ...”
July 1, 2018
Jay@ManhattanReview posted a reply to GMAT Official Guide 2019 The cost of 10 pounds of apples in the Data Sufficiency forum
“Given: 10 pounds of apples and 2 pounds of grapes cost $12 We have to find out the cost per pound of apples. Let''s take each statement one by one. (1) The cost per pound of grapes was $2. => 2 pounds of grapes cost 2*2 = $4 Since 10 pounds of apples and 2 pounds of grapes cost ...”
July 1, 2018
Jay@ManhattanReview posted a reply to A certain box contains only red balls and green balls. in the Data Sufficiency forum
“We have to find out the probability of getting a red ball upon drawing one ball randomly from the box that has only red and green balls. Probability of getting a red ball = Number of red balls / total number of balls Let''s take each statement one by one. (1) Red balls comprise exactly ...”
June 29, 2018
Jay@ManhattanReview posted a reply to Is 30 a factor of n? in the Data Sufficiency forum
“We have to determine whether 30 a factor of n. Let''s take each statement one by one. 1. 30 is a factor of n^2. Since 30 = 2*3*5 (no two prime factors), 30 must be a factor of n, else n would not be an integer. Sufficient. 2. 30 is a factor of 2n. If n = 15, the answer is No; however, ...”
June 29, 2018
Jay@ManhattanReview posted a reply to Is 30 a factor of n? in the Data Sufficiency forum
“We have to determine whether 30 a factor of n. Let''s take each statement one by one. 1. 30 is a factor of n^2. Since 30 = 2*3*5 (no two prime factors), 30 must be a factor of n, else n would not be an integer. Sufficient. 2. 30 is a factor of 2n. If n = 15, the answer is No; however, ...”
June 29, 2018
Jay@ManhattanReview posted a reply to Is pq > 0? in the Data Sufficiency forum
“We have to determine whether pq > 0. Let''s take each statement one by one. (1) p < 0 => p is negative; however, we do not have any info about q. Insufficient. (2) q < 0 => q is negative; however, we do not have any info about p. Insufficient. (1) and (2) p and q ...”
June 29, 2018
Jay@ManhattanReview posted a reply to Is rs = rx − 2? in the Data Sufficiency forum
“We have to determine whether rs = rx − 2. Let''s take each statement one by one. (1) r is an odd number. Certainly insufficient as we do not have any info about r, s, and x. (2) x = s + 2 Certainly insufficient as we do not have any info about r. (1) and (2) together We ...”
June 29, 2018
Jay@ManhattanReview posted a reply to Of all attendees at a dinner party, 40% were women. in the Data Sufficiency forum
“Say the percentage of men attending alone = m, the percentage of women attending alone = w, and the percentage of partners attending together = b. Thus, 100 = m + w + b; note that among partners, b/2 would be men and b/2 would be women. Given: w + b/2 = 40; => m + b/2 = 100 – 40 = 60 ...”
June 29, 2018
Jay@ManhattanReview posted a reply to A certain company currently has how many employees? in the Data Sufficiency forum
“Yes, this is correct. Statement 1 does not give a unique value, while Statement 2 does. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Begumpet | Hyderabad GMAT Prep | Bangalore GMAT Courses | Tarnaka GRE Prep | and many more... Schedule your free ...”
June 28, 2018
Jay@ManhattanReview posted a reply to Does the rectangle have an area less than 30? in the Data Sufficiency forum
“We have to find out whether the rectangle has an area of less than 30. Say the length and the breadth of the rectangle are a and b, respectively, Thus we have to determine whether ab < 30. Let''s take each statement one by one. (1) Perimeter = 20. => 2(a + b) = 20 => a + b ...”
June 28, 2018
Jay@ManhattanReview posted a reply to In a certain state, the ratio of registered Republicans to in the Problem Solving forum
“Given that the ratio of registered Republicans to registered Democrats is 3 to 2, say the number of registered Republicans = 60 and the number of registered Democrats = 40. Thus, there are a total of 60 + 40 = 100 voters Thus, expected votes for Candidate X = 80% of 60 + 15% of 40 = 48 + 6 = 54 ...”
June 28, 2018
Jay@ManhattanReview posted a reply to Inequation in the Problem Solving forum
“Hi, This is not a GMAT question. Pl. post GMAT questions. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Begumpet | Hyderabad GMAT Prep | Bangalore GMAT Courses | Tarnaka GRE Prep | and many more... Schedule your free consultation with an experienced GMAT ...”
June 28, 2018
Jay@ManhattanReview posted a reply to Mike's pencil box contains 30 pens. 15 of the pens are red in the Data Sufficiency forum
“Since there are 15 (= 1/2 of 30) numbers of Red pens, the probability that it would be Red = 15/30 = 0.5. Say P(R) = 0.5. We have to find out the probability that the pen from the pencil box would be blue. Say it is P(Bl). And say the probability that the pen from the pencil box would be black = ...”
June 26, 2018
Jay@ManhattanReview posted a reply to If a and b are integers, a/b an even integer? in the Data Sufficiency forum
“Given: a and b are integers We have to find out whether a/b an even integer. Let''s take each statement one by one. 1) ab is odd. => a and b both are odd. a/b = Odd/Odd cannot be even. Sufficient. The answer is, "No, a/b is NOT an even integer." Case 1: Say a = 9 and b ...”
June 26, 2018
Jay@ManhattanReview posted a reply to For a positive integer n, what is the remainder when n(n+1) in the Data Sufficiency forum
“Given: n is a positive integer To find out: The remainder when n(n + 1) is divided by 12. Let''s take each statement one by one. 1) n is divisible by 3. Case 1: Say n = 3, thus n + 1 = 4 => n(n + 1) =3*4 = 12 is divided by 12. The answer is Yes. Case 2: Say n = 9, thus n + 1 = 10 ...”
June 25, 2018
Jay@ManhattanReview posted a reply to Peter traveled from home to school and returned along the in the Data Sufficiency forum
“Your solution is perfect. The correct answer should be B. -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Manhattan Review Hyderabad | Madhapur GMAT Courses | Dilsukhnagar GRE Prep | and many more... Schedule your free consultation with an experienced ...”
June 25, 2018
Jay@ManhattanReview posted a reply to The sum of the digits of a three-digit number is 11. What is in the Data Sufficiency forum
“Given: The sum of the digits of a three-digit number is 11. We have to find out the product of the three digits. Let''s take each statement one by one. 1) The number is divisible by 5. A number is divisible by 5 if its units digit is 0 or 5. If the units digit is 0, the product of the ...”
June 25, 2018
Jay@ManhattanReview posted a reply to While Leslie was flying his airplane from Hartfield to in the Data Sufficiency forum
“You did it correctly. :) -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Manhattan Review Hyderabad | Madhapur GMAT Courses | Dilsukhnagar GRE Prep | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
June 25, 2018
Jay@ManhattanReview posted a reply to Is |x+3| > |2x+y|? in the Data Sufficiency forum
“We are given that |x+3| > |2x+y| => x + 3 > 2x + y => x + y < 3 ---(1) or => x + 3 < –(2x + y) => x + 3 < –2x – y => 3x + y < –3 ---(2) If both the inequalities are either satisfied or not satisfied, then we have the unique answer; however, if ...”
June 23, 2018
Jay@ManhattanReview posted a reply to A certain bakery sells wheat bread in 8-ounce loaves, and in the Data Sufficiency forum
“This is all good. :) -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Manhattan Review Hyderabad | Dilsukhnagar GMAT Courses | Mehdipatnam GRE Prep | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
June 23, 2018
Jay@ManhattanReview posted a reply to A pair of skis originally cost $160. After discount of x in the Data Sufficiency forum
“This is all good. :) -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Manhattan Review Hyderabad | Dilsukhnagar GMAT Courses | Mehdipatnam GRE Prep | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
June 23, 2018
Jay@ManhattanReview posted a reply to A candy manufacturer decided to decrease the weight of each in the Data Sufficiency forum
“You are correct, Since the question wants the actual value of the reduction in price, we must know the initial price. Had the question asked, "By how many percent the cost of candy change after the reduction in weight?" The answer would have been 9.89% [= {100/(100 – 9)}*100%]. Hope ...”
June 23, 2018