# prabsahi

Jay@ManhattanReview posted a reply to In the xy-plane above, is angle QPR a right angle? in the Data Sufficiency forum
“We know that the two axes in xy-plane make 90º. If we are able to prove that PQ is parallel to Y-axis and PR is parallel to X-axis, we can conclude that segments PQ and PR intersect at 90º; thus, /_QPR is 90º. From Statement 1, we know that PQ is parallel to Y-axis and from Statement 2, we ...”
Yesterday
Jay@ManhattanReview posted a reply to If x is a positive integer, is (x)(x + 2)(x + 4) divisible in the Data Sufficiency forum
“Let''s take each statement one by one. (1) x^2 + 2x is a multiple of 3. => x( x + 2) is a multiple of 3. Thus, for (x)(x + 2)(x + 4) to be divisible by 12, (x + 4) must be divisible by 4, which is not known. Insufficient. (2) 3x is a multiple of 2. => x is even Say x = 2n, ...”
Yesterday
Jay@ManhattanReview posted a reply to Beth's pizzeria offers x different toppings. What is the in the Data Sufficiency forum
“Let''s take each statement one by one. (1) There are an equal number of different pizzas that can be made with (x − 2) toppings as there are different pizzas with just 2 toppings. # of (x – 2) topping pizzas that can be made out of x toppings = xC(x – 2); # of 2 topping pizzas that can ...”
Yesterday
Jay@ManhattanReview posted a reply to A certain bag of gemstones is composed of two-thirds in the Problem Solving forum
“The information, "If the probability of randomly selecting two diamonds from the bag, without replacement, is $$\frac{5}{12}$$," is redundant. Let''s come to the solution: Say, there are 9 gemstones; thus, there are 2/3 of 9 = 6 diamonds and 1/3 of 9 = 3 rubies. Probability of ...”
Yesterday
GMATGuruNY posted a reply to A bowl contains equal numbers of red, orange, green, blue, in the Problem Solving forum
“Let R=O=G=B=Y=20, for a total of 100 marbles. Kaz eats all of the green candies and half of the orange ones. R=20, O=10, G=0, B=20, Y=20 He eats half of the remaining pieces of each color. R=10, O=5, G=0, B=10, Y=10 He eats red and yellow candies in equal proportions until the total ...”
July 20, 2019
Jay@ManhattanReview posted a reply to Last Thursday, John assembled chairs at a rate of 3 chairs in the Data Sufficiency forum
“I already posted the answer here. https://www.beatthegmat.com/last-thursday-john-assembled-chairs-at-a-rate-of-3-chairs-t307526.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses San Diego | ACT Prep Courses San Antonio | ...”
July 20, 2019
Jay@ManhattanReview posted a reply to Of the 60 families in a certain neighborhood, 38 have a cat. in the Data Sufficiency forum
“Already answered https://www.beatthegmat.com/of-the-60-families-in-a-certain-neighborhood-t184466.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses San Diego | ACT Prep Courses San Antonio | Houston IELTS Tutoring | and ...”
July 20, 2019
Jay@ManhattanReview posted a reply to What was the average production rate of cups of espresso per in the Data Sufficiency forum
“Even together both the statements are insufficient as we do not have any information about machine C. Information about machine E is of no use. The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses San Diego | ...”
July 20, 2019
Jay@ManhattanReview posted a reply to Maria wants to send a package overseas. She can either pay in the Data Sufficiency forum
“Pl. find it here: https://www.beatthegmat.com/maria-wants-to-send-a-package-overseas-she-can-either-pay-t304731.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses San Diego | ACT Prep Courses San Antonio | Houston IELTS ...”
July 20, 2019
Jay@ManhattanReview posted a reply to Of the 75 houses in a certain community, 48 have a patio. in the Data Sufficiency forum
“Given: Total number of houses = 75; Say, # of houses that have ONLY swimming pool = s; # of houses that have ONLY patio = p; # of houses that have both swimming pool and patio= b; Thus, we have p + b = 48 (given) # of houses that have neither swimming pool nor patio= n => 75 = s ...”
July 20, 2019
Jay@ManhattanReview posted a reply to If n is a positive integer, is n^3 + 4n^2 - 5n divisible by in the Data Sufficiency forum
“We have n^3 + 4n^2 – 5n => n(n^2 + 4n – 5) = n(n^2 + 5n – n – 5) = nD Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses San Diego | ACT Prep Courses San Antonio | Houston IELTS Tutoring | and many more... ...”
July 20, 2019
Jay@ManhattanReview posted a reply to If 2s > 8 and 3t < 9, which of the following could be in the Problem Solving forum
“Given 2s > 8 and 3t < 9, we find that s > 4 and t < 3. So, s – t would be greater than 1. Thus, none of the values –1, 0, and 1 can be correct for it. The correct answer: A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | ...”
July 20, 2019
GMATGuruNY posted a reply to $$A$$ can complete a project in 20 days and $$B$$ can in the Problem Solving forum
“Let the job = 60 units. Rate for A alone = w/t = 60/20 = 3 units per day. Rate for B alone = w/t = 60/30 = 2 units per day. Since A quits 10 days before the project is completed, B works alone for 10 days. Work completed by B alone in 10 days = r*t = 2*10 = 20 units. Remaining work = 60-40 ...”
July 19, 2019
GMATGuruNY posted a reply to Is x > y ? in the Data Sufficiency forum
“If A, then B does not imply If B, then A. True statement: If John is in Times Square, then John is in New York. The following statement is NOT necessarily true. If John is in New York, then John is in Times Square. Is x > y? Statement 1: 5x > 3y Statement 2: 4x > 7y Each ...”
July 18, 2019
GMATGuruNY posted a reply to Is x > y ? in the Data Sufficiency forum
“I received a PM requesting that I post a response. The issue at hand is how to combine the two inequalities. Visually-oriented test-takers might find it helpful to plot the values on a number line. Statement 1: (2/5)x > (3/8)y x > (5/2)(3/8)y x > (15/16)y Statement 2: (3/7)x ...”
July 18, 2019
GMATGuruNY posted a reply to Tom travels the same distance in 4 steps as Alice travels in in the Problem Solving forum
“Since each of Alice''s steps = 36 cm, the distance traveled by Alice in 5 steps = 5*36 = 180 cm. Since Tom requires only 4 steps to travel this 180-cm distance, each of Tom''s steps = 180/4 = 45 cm. Thus, the distance traveled by Tom in 18 steps = 18*45 = 810 cm. The correct answer is E.”
July 17, 2019
GMATGuruNY posted a reply to Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to in the Problem Solving forum
“Since oil:vinegar:water = 3:2:1, we get: part attributed to oil = 3 cups part attributed to vinegar = 2 cups part attributed to water = 1 cup sum of the parts = 3+2+1 = 6 cups Since Larry has 8 cups of oil, we get: (available oil)/(part attributed to oil) = 8/3. The fraction in blue implies ...”
July 17, 2019
Jay@ManhattanReview posted a reply to Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to in the Problem Solving forum
“Given that there is no constraint with the usage of water, we must focus on oil and vinegar. The ratio of oil and vinegar is 3 : 2. Let''s interpret above. Taking the ratio of oil and vinegar is 3 : 2 as 1 : 2/3 • For 1 cup of oil, we need 2/3 cups of vinegar => For 8 cup of oil, ...”
July 17, 2019
GMATGuruNY posted a reply to Working together at their respective constant rates, Machine in the Problem Solving forum
“The prompt should read as follows: Since A+B take 8 hours to produce 1200 units, the combined rate for A+B = w/t = 1200/8 = 150 units per hour. Since B take 50% more time than the 8 hours required when A+B work together, B''s time = 8 + (50% of 8) = 8 + 4 = 12 hours. Since B takes 12 ...”
July 16, 2019
Jay@ManhattanReview posted a reply to Physicians often estimate the adult height $$c$$, in inches, in the Data Sufficiency forum
“Given $$\frac{m+f-13.2}{2}\leq c \leq \frac{m+f-2.8}{2}$$, we find that the estimated adult height of a female child is a function of mother''s and father''s heights and is not a function of female child''s current height; thus, Statement 1 is of no use. We see that Statement 2 provides the required ...”
July 16, 2019
Jay@ManhattanReview posted a reply to Of the total number of copies of Magazine $$X$$ sold last in the Data Sufficiency forum
“Say the total no. of copies sold = x; Thus, the total no. of copies sold at full price = 40% of x = 0.4x Let''s take each statement one by one. 1. Last week, the full price for a copy of Magazine $$X$$ was $1.50 and the total revenue from full-price sales was$112,500. Total no. of ...”
July 16, 2019
Jay@ManhattanReview posted a reply to On the number line above, p, q, r, s, and t are five in the Data Sufficiency forum
“Since p, q, r, s, and t are five consecutive even integers in increasing order, we can write them as q = p + 2; r = p + 4; s = p + 6; t = p + 8. Average of p, q, r, s, and t = middle-most among them; since these integers are evenly spaced, median and mean would be the same. Average of p, q, ...”
July 16, 2019
Jay@ManhattanReview posted a reply to A marketer bought $$N$$ crates of empty cardboard gift boxes in the Problem Solving forum
“Total no. of individual gift boxes = NQ; Amount paid to buy $$N$$ crates of empty cardboard gift boxes = $W; Total no. of collections = NQ/J; Total sales =$(NQ/J)*P; Profit = (NQ/J)*P – W = Z => P = J(Z + W)/NQ The correct answer: B Hope this helps! -Jay ...”
July 16, 2019
GMATGuruNY posted a reply to Tom painted 1/3 of a wall red, 1/5 of the wall blue and the in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the total area. When the correct answer is plugged in, the area painted black = 238. Since 1/3 of the wall is painted red, it is almost certain that correct answer is a multiple of 3. For an integer to be a multiple of 3, its digit sum must be a ...”
July 15, 2019
GMATGuruNY posted a reply to There are three varieties of sugar in a store. Sugar S1 in the Data Sufficiency forum
“Statement 1: Case 1: A=10 kg and B=10 kg, for a total of 20 kg In this case, A=B, so the answer to the question stem is NO. Case 2: A=11 kg and B=9 kg, for a total of 20 kg In this case, A>B, so the answer to the question stem is YES. Since the answer is NO in Case 1 but YES in Case 2, ...”
July 14, 2019
GMATGuruNY posted a reply to In the figure shown, what is the value of x? in the Data Sufficiency forum
“Neither statement alone is sufficient to determine the value of x. When we combine the two statements, here''s an efficient way to determine whether we have sufficient information. 1. Plug in values for all of the angle measurements, satisfying the constraints in the problem and the rules of ...”
July 14, 2019
Jay@ManhattanReview posted a reply to If a brokerage firm charged a commission of 2% of the total in the Data Sufficiency forum
“Say the total dollar amount of the trade was $x; thus, the total amount paid = x + 2% of x =$1.02x We have to get the value of x. Let''s take each statement one by one. 1. The dollar amount of the trade minus the brokerage firm''s commission was $88000. => 88,000 = (100 – 2)% of ...” July 12, 2019 Jay@ManhattanReview posted a reply to When running a mile during a recent track meet, Nuria was in the Problem Solving forum “So, the time 5 minutes, 44 seconds did not take into account 11/25 of a minute; we must add it to 5 minutes, 44 seconds. 11/25 of a minute = (11/250*60 =26.4 minutes So, the correct time = 5 minutes, 44 seconds + 26.4 minutes = 5 minutes, 77.4 seconds = 6 minutes, 10.4 seconds The ...” July 12, 2019 Jay@ManhattanReview posted a reply to In how many different ways can 3 identical green shirts and in the Problem Solving forum “If there are p numbers of identical items, q numbers of identical items, and r numbers of identical items, the total number of way, (p + q + r) items be distributed is given by (p + q + r)! / (p!*q!*r!). Thus, the number of ways 3 identical green shirts and 3 identical red shirts be distributed ...” July 12, 2019 GMATGuruNY posted a reply to Between the first day of May and last day in June, the price in the Problem Solving forum “We can PLUG IN THE ANSWERS. When the correct answer is plugged in, Blue''s resulting price and Melange''s resulting price will be EQUAL. D: 100 Here, Blue''s initial price is 100% of Melange''s initial price, implying that the two initial prices are equal. Let Blue = May =$100. From May to ...”
July 12, 2019
GMATGuruNY posted a reply to What is the remainder when a is divided by 4? in the Data Sufficiency forum
“Statement 1: An odd integer can be written as follows: 2x+1, where x is an integer. Since a is the square of an odd integer, we get: a = (2x+1)² = (2x)² + 2(2x)(1) + 1² = 4x² + 4x + 1 = 4(x²+x) + 1 = (multiple of 4) + 1 Since a is equal to 1 more than a multiple of 4, dividing a by 4 will ...”
July 11, 2019
Jay@ManhattanReview posted a reply to What is the remainder when a is divided by 4? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) a is the square of an odd integer. The squares of first odd numbers are 1^2 = 1; 3^2 = 9; 5^2 = 25; 7^2 = 49 The numbers are 1, 9, 25, 49, 81 and so on. Each number divided by 4 leaves a remainder 1. Sufficient. (2) a is a multiple of 3. ...”
July 11, 2019
Jay@ManhattanReview posted a reply to Set A = {a, b, c} and has a median of b. Is the average of a in the Data Sufficiency forum
“Given: Median of the Set A = {a, b, c} is b. We have to determine whether the average of a and c greater than b. Let''s take each statement one by one. (1) The average of Set A is b. => (a + b + c)/3 = b => (a + c)/2 = b => the average of a and c is equal to b, not greater ...”
July 11, 2019
Jay@ManhattanReview posted a reply to In 2015, Ashley invited 12% more people to her annual in the Problem Solving forum
“Say the number of people Ashley invited in 2014 was 100. Thus, she invited 100 + 12% of 100 = 112 people in 2015. Thus, she invited 112 + 10% of 112 = appx 123 people in 2016. And finally, she invited 123 + 10% of 123 = appx 135 people in 2017. Thus, the number of people she invites in 2017 is ...”
July 11, 2019
GMATGuruNY posted a reply to If m and n are positive integers and r is the remained when in the Data Sufficiency forum
“5(10^n) = 5 followed by n zeros. If n=1, then 5(10^n) = 5*10¹ = 5 followed by 1 zero = 50 If n=2, then 5(10^n) = 5*10² = 5 followed by 2 zeros = 500 If n=3, then 5(10^n) = 5*10³ = 5 followed by 3 zeros = 5000 Rule: An integer whose digits sum to a multiple of 3 is itself a multiple of 3. ...”
July 9, 2019
GMATGuruNY posted a reply to What is 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56? in the Problem Solving forum
“1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 = 1/2 + (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) + (1/6 - 1/7) + (1/7 - 1/8) = 1/2 + 1/2 - 1/8 = 1 - 1/8 = 7/8 The correct answer is C.”
July 9, 2019
Jay@ManhattanReview posted a reply to Does the rectangular mirror have an area greater than $$10$$ in the Data Sufficiency forum
“Say the length and the breadth of the rectangular mirror are a and b, respectively. Thus, we have to determine whether ab > 10. Let''s take each statement one by one. 1. The perimeter of the mirror is $$24\,cm$$. => 2(a + b) = 24 => a + b = 12 Can''t determine if ab > 10. ...”
July 8, 2019
Jay@ManhattanReview posted a reply to If x and y are positive numbers, is $$x<y$$? in the Data Sufficiency forum
“Given: x and y are positive numbers We have to determine whether $$x<y$$. Let''s take each statement one by one. 1. $$\frac{(x+1)}{(y+1)}>\frac{x}{y}$$ We have (x + 1) / (y + 1) > x / y (x + 1) / (y + 1) – x / y > 0 => (y – x) / y(y + 1) > 0 => (y – ...”
July 8, 2019
Jay@ManhattanReview posted a reply to The table above shows the number of students in a certain in the Data Sufficiency forum
“Pl. see the following table, which is self-explanatory. https://i.postimg.cc/6yPhd5tR/Biology.png The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses Princeton | ACT Prep Courses Dallas | New York ...”
July 8, 2019
Jay@ManhattanReview posted a reply to The Cyclepaths Bicycle Factory has 300 bicycles in stock. in the Data Sufficiency forum
“Pl. see the following Venn diagram. https://i.postimg.cc/HcJ8kSmG/Bicycles.png The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses Princeton | ACT Prep Courses Dallas | New York IELTS Tutoring | and ...”
July 8, 2019
Jay@ManhattanReview posted a reply to If x and y are greater than 0, is x = 1 ? in the Data Sufficiency forum
“We have x > 0 and y > 0. We have to determine whether x = 1. Let''s take each statement one by one. (1) x/y = 1 Case 1: Say x = y = 1, the answer is Yes. Case 2: Say x = y = 2, the answer is No. No unique answer. Insufficient. (2) xy = 1 Case 1: Say x = y = 1, the answe is ...”
July 8, 2019
Jay@ManhattanReview posted a reply to A 4-person task force is to be formed from the 4 men and 3 in the Problem Solving forum
“The number of ways, 2 men can be selected out of 4 men = 4C2 = (4.3) / (1.2) = 6; The number of ways, 2 women can be selected out of 3 women = 3C2 = 3C1 = 1; note that nCr = nC(r – 1) Total number of ways the 4-person task force can be formed such that there are 2 men and 2 women in the task ...”
July 8, 2019
Jay@ManhattanReview posted a reply to A certain list of 300 test scores has an arithmetic mean of in the Problem Solving forum
“Nice question: Standard deviation (SD) is a number used to tell how measurements for a group are spread out from the average (mean), or expected value. A low standard deviation means that most of the numbers are close to the average. A high standard deviation means that the numbers are more ...”
July 8, 2019
Jay@ManhattanReview posted a reply to The function f(a) is defined for all positive integers a as in the Problem Solving forum
“Let us first understand the question. The function f(77) = # of positive integers between 1 and 76, inclusive minus the integers that have common factors with the factors of 77. Let''s break 77 into prime factorization. 77 = 7*11 The multiples (less than 77) of 7 and the multiples (less ...”
July 8, 2019
GMATGuruNY posted a reply to Inequalities :If x is an integer, what is the value of x? in the Data Sufficiency forum
“In statement 1, |x²| is redundant: since x² cannot be negative, |x²| = x². Statement 1: |x-x²|=2 x - x² = ±2 x(1-x) = ±2. The resulting equation implies that x is a factor of ±2, yielding the following options: x=±1 or x=±2. Check which of these values are valid solutions for ...”
July 7, 2019
GMATGuruNY posted a reply to What is the value of n in the equation: - 25 + 19 + n = s ? in the Data Sufficiency forum
“What do we want? The value of n. Before we look at the statements, what do we have? A linear equation with two variables (n and s). To answer the question stem, what do we need? Another linear equation with one or both of the variables. Each statement gives us what we need and thus is ...”
July 6, 2019
GMATGuruNY posted a reply to If a coin has an equal probability of landing heads up or in the Problem Solving forum
“P(HHT) = 1/2 * 1/2 * 1/2 = 1/8. Since T can occur on the 1st, 2nd or 3rd flip, we multiply by 3: 3(1/8) = 3/8 = 0.375 The correct answer is C.”
July 6, 2019
GMATGuruNY posted a reply to The British Admiralty and the War Office in the Sentence Correction forum
“Neuroscientists are now drawing solid conclusions about the disease. Here, the disease serves as the object of the preposition about. A clause includes both a subject and a verb. A clause may function as a noun. SC720 in the OG18: Neuroscientists are now drawing solid conclusions about how ...”
July 4, 2019
GMATGuruNY posted a reply to What is the number of solutions of x = |x-|30-2x||? in the Problem Solving forum
“|x-|30-2x|| = x if the blue portion is equal to x or -x. Case 1: x-|30-2x| = x 0 = |30-2x| The equation above is valid if 30-2x=0: 30-2x = 0 30 = 2x 15 = x Case 2: x-|30-2x| = -x 2x = |30-2x| Case 2a: 2x = 30-2x 4x = 30 x = 30/4 = 7.5 Case 2b: -2x = 30-2x 0 = 30 Not valid. ...”
July 4, 2019
Jay@ManhattanReview posted a reply to What is the value of the three-digit integer $$t$$ if $$t$$ in the Data Sufficiency forum
“Let''s take each statement one by one. 1. The tens digit and the hundreds digit of $$t$$ are both $$7$$. => t = 77x; where x = units digit t/9 = 77x/9 gives x = 4, a unique value. Thus, t = 774. Sufficient. 2. The units digit of $$t$$ is less than both the tens digit and the hundreds ...”
July 4, 2019
Jay@ManhattanReview posted a reply to Blair is shopping for a meal. He buys truffles, caviar, in the Data Sufficiency forum
“Let the weights of the 4 items be a, b, c and d ounces. Let''s take each statement one by one. (1) Blair spent a total of $46.20 on items. => abcd =$46.20/4 = 4620/4 cents = 1155 cents => abcd = 1155 = 3*5*7*11; we cannot have other combination since quantities purchased is ...”
July 4, 2019
Jay@ManhattanReview posted a reply to From a seven-member dance group, four will be chosen at in the Problem Solving forum
“Number of ways such that any of the 4 dances are chosen randomly = 7C4; Number of ways such that Kori and Jason are selected and any of the remaining 2 dances are chosen randomly = 5C2; Required probability = 5C2 / 7C4 = 2/7 The correct answer: D Hope this helps! -Jay ...”
July 4, 2019
Jay@ManhattanReview posted a reply to If a certain concrete mixture contains gravel, water, and in the Problem Solving forum
“Given the concrete mixture contains gravel, water, and sand in a 1 to 3 to 5 ratio by weight, the weight of the mixture would be 1 + 3 + 5 = 9 lbs. To produce 72 pounds of the mixture, we will need 72*(1/9) = 8 lbs of gravel. The correct answer: E Hope this helps! -Jay ...”
July 4, 2019
Jay@ManhattanReview posted a reply to What is the range of a set consisting of the first 100 multi in the Problem Solving forum
“A few first multiples of 7 that are greater than 70 are 77, 84, 98, ...; we can write them as 7*11; 7*12: 7*13. So, the first multiple of 7 that is greater than 70 = 7*11; and the 100th multiple of 7 that is greater than 70 = 7*110 Thus, range = 7*110 – 7*11 = 7(110 – 11) = 7*99 = 693 ...”
July 4, 2019
GMATGuruNY posted a reply to The LCM of three numbers is four times their GCF. Which of in the Problem Solving forum
“Try to prove that I, II and III DON''T have to be true. To disprove I -- which states that at least one number must be odd -- let the GCF = 2. Since the LCM = 4(GCF), the LCM = 8. In this case: The greatest factor common of all three numbers must be 2. The least value divisible by all 3 ...”
July 3, 2019
GMATGuruNY posted a reply to In addition to her work on the miocene homicide fossil in the Sentence Correction forum
“A possessive such her may serve to refer to a preceding possessive. More importantly, her is a personal pronoun. Only a PERSON or PEOPLE may serve as referent for a personal pronoun (he, she, him, his, her). Since only a person or people may serve as referent for a personal pronoun -- and a ...”
July 1, 2019
GMATGuruNY posted a reply to A palindrome, such as 12321, is a number that remains the sa in the Problem Solving forum
“The difference between the two palindromes = 32. Since subtracting 32 from the 4-digit palindrome must yield a 3-digit palindrome. the 4-digit palindrome must be just a bit more than 1000. Test 1001: 1001 - 32 = 969 Success! Subtracting 32 from 1001 (a 4-digit palindrome) yields 969 (a 3-digit ...”
July 1, 2019
GMATGuruNY posted a reply to Ellipsis in comparison in the Sentence Correction forum
“Since the red portion refers to the FUTURE -- the expected level in 2010 -- the verb should be in the future tense: a level that WILL BE more than one-third higher than was the level in 1990 From context, we know that a level refers to the expected level of carbon emissions in 2010. Since ...”
June 30, 2019
GMATGuruNY posted a reply to The ratio of flour to water to sugar in a recipe is 7:4:1. T in the Problem Solving forum
“Original ratio: F:W:S = 7:4:1 A new recipe calls for a doubling of the ratio of flour to water. Doubling F/W = 7/4, we get: 2 * 7/4 = 7/2 Resulting ratio: F:W:S = 7:2:1 A halving of the ratio of flour to sugar. Halving F/S = 7/1, we get: (1/2)(7/1) = 7/2 Resulting ratio: F:W:S = ...”
June 30, 2019
GMATGuruNY posted a reply to Amy's grade was 90th percentile of the 80 grades for her in the Problem Solving forum
“Alternate approach: In Amy''s 80-student class, her percentile = 90. In the 100-student class, 19 scores are higher than Amy''s, implying that 81 scores are lower. Thus: Amy''s percentile in the 100-student class = 81. Amy''s AVERAGE percentile for all 180 students = (80*90 + 100*81)/180 = ...”
June 30, 2019
GMATGuruNY posted a reply to -2 ≤ x ≤ -1 and 1 ≤ y ≤ 2. What is the greatest poss in the Problem Solving forum
“(x+y)/x = 1 only if y=0. Since the range for y does not include 0, eliminate E. If x=-2 and y=1, then (x+y)/y = (-2+1)/-2 = 1/2. Since 1/2 is the greatest of the remaining answer choices, the correct answer is D.”
June 26, 2019
GMATGuruNY posted a reply to A certain basketball team that has played 2/3 of its games in the Problem Solving forum
“Games played thus far = 17 wins + 3 losses = 20. Since these 20 games constitute 2/3 of the total number of games, we get: 20 = (2/3)T 60 = 2T 30 = T Since the team must win at least 3/4 of these 30 games, it may lose at most 1/4 of these 30 games: (1/4)30 = 7.5 Implication: The total ...”
June 25, 2019
GMATGuruNY posted a reply to What is the average (arithmetic mean) of all 5-digit numbers in the Problem Solving forum
“For any set that is SYMMETRICAL ABOUT THE MEDIAN: average = median Number of integers that can be composed from the 5 given digits = 5! = 120. Since the number of integers is EVEN, the median will be equal to the average of the two middle values: ...53791, 53917, 53971, 57139, 57193, ...”
June 25, 2019
GMATGuruNY posted a reply to Ashok and Brian are both walking east along the same path; in the Data Sufficiency forum
“Let A = A''s rate and B = Brian''s rate. Ashok has to CATCH-UP by 30 miles. The CATCH-UP rate is equal to the DIFFERENCE between the two rates. If A = 3mph, while B = 2mph, then every hour A walks 1 more mile than B, with the result that every hour A catches up by 1 mile -- the DIFFERENCE ...”
June 23, 2019
GMATGuruNY posted a reply to GMAT Official Guide 2019 The city of Workney in the Critical Reasoning forum
“When the correct answer is negated, the conclusion will be invalidated. Conclusion: Selling 9 tokens for $10 will alleviate the burden on POOR PEOPLE. E, negated: More riders would regularly purchase 18 tokens at once than would purchase only 9 tokens at once. Since this negation tells us ...” June 23, 2019 Jay@ManhattanReview posted a reply to In the correctly-worked multiplication problem above, each in the Data Sufficiency forum “Pl. find it here: https://www.beatthegmat.com/in-the-correctly-worked-multiplication-problem-above-each-s-t306765.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Prep Courses San Francisco | IELTS Prep Courses Boston | Seattle IELTS ...” June 20, 2019 GMATGuruNY posted a reply to What is the value of 1 / (√2+√1) + 1 / (√3+√2) + 1/( in the Problem Solving forum “1/(√2+√1) = √2-√1) + (√3-√2) + (√4-√3) +...+ (√24-√23) + (√25-√24) The red values all cancel out, yielding the following: -√1 + √25 = -1 + 5 = 4 The correct answer is D.” June 20, 2019 Jay@ManhattanReview posted a reply to If x and y are integers and x<y, what is the value of x+y in the Data Sufficiency forum “Given: x and y are integers and x < y. We have to find out the value of x + y. Let''s take each statement one by one. (1) x^y = 4 Since x < y, we cannot have scerios such as 4^1 = 4 and 2^2 = 4. The only scenerio possible is (–2)^2 = 4; thus, x = y = –2 + 2 = 0. Sufficient. ...” June 20, 2019 Jay@ManhattanReview posted a reply to If $$y$$ is the sum of $$x$$ consecutive positive integers, in the Data Sufficiency forum “Given: $$y$$ is the sum of $$x$$ consecutive positive integers, and $$x>3$$. We have to determine whether $$y$$ odd. Let''s take each statement one by one. 1) $$x$$ is odd. Case 1: Say there are 5 (odd) consecutive positive integers, starting from 1; thus, the numbers are 1, 2, 3, 4, ...” June 20, 2019 GMATGuruNY posted a reply to OG 2018 CR Q Political theorist: Even with in the Critical Reasoning forum “Since the correct answer must SUPPORT the conclusion that a national leader with such , the argument above seems best classified as a STRENGTHEN CR.” June 19, 2019 GMATGuruNY posted a reply to If is n is multiple of 5, and n=p^2*q where p and q are prim in the Problem Solving forum “Try to prove that four of the answer choices DO NOT have to be a multiple of 25. The correct answer will be the remaining answer choice. In order for n to be a multiple of 5, either p and/or q must be a multiple of 5. Since the goal is to prove that four of the answer choices do NOT have to ...” June 19, 2019 Jay@ManhattanReview posted a reply to If p and q are two consecutive positive integers and pq= 30x in the Data Sufficiency forum “Since p and q are two consecutive positive integers, we have q = p + 1. We have to determine whether pq = p(p + 1) = 30x. Let''s take each statement one by one. 1) p^2 is divisible by 25. => p is divisible by 5. Say p = 5m; thus, q = 5m + 1; m is a positive integer From p(p + 1) = ...” June 19, 2019 Jay@ManhattanReview posted a reply to A weighted coin has a probability p of showing heads. Is the in the Data Sufficiency forum “Say the probability of getting a head = p; thus, the probability of getting tail = 1 – p. We have to determine whether p > 0.2. Let''s take each statement one by one. (1) Successive flips are independent, and the probability of getting at least one head in two flips is greater than ...” June 19, 2019 GMATGuruNY posted a reply to What is the value of the following sum? 1/(1*2) + 1/(2*3) + in the Problem Solving forum “x = 1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + 1/(5*6) 60x = 60D.” June 19, 2019 GMATGuruNY posted a reply to If x, y and z are three different non-negative integers, whi in the Problem Solving forum “i: |x−y| = |x+y| = |y−z| This statement is true if x=0, y=1 and z=2: |0-1| = |0+1| = |1-2| 1 = 1 = 1 Since the correct answer must include i, eliminate B and C. ii) x^y = y^z This statement is true if x=1, y=2 and z=0: 1^2 = 2^0 1 = 1 Since the correct answer must include ii, ...” June 18, 2019 GMATGuruNY posted a reply to Over the first x games of his basketball season, Martin in the Problem Solving forum “Since the seasonal average = 30 points per game, the total number of points must be a MULTIPLE OF 30. Over the first x games of his basketball season, Martin averaged 32 points per game. In his last game, he scored 14 points. Implication: 32x + 14 = MULTIPLE OF 30 32x = (MULTIPLE OF 30) - 14 ...” June 18, 2019 GMATGuruNY posted a reply to If |2x|>|3y|, is x >y? 1) x>0 2) y>0 in the Data Sufficiency forum “Statement 1: Test x=3. Plugging x=3 into |2x|>|3y|, we get: |2*3|>|3y| 6 > 3|y| |y| < 2 -2 < y < 2 Since x=3 and -2 < y < 2, we get: x > y. Test x=1/2. Plugging x=1/2 into |2x|>|3y|, we get: |2 * 1/2|>|3y| 1 > 3|y| |y| < 1/3 -1/3 < y < ...” June 18, 2019 GMATGuruNY posted a reply to How many arrangements of the letters A, C, C, E, N, T includ in the Problem Solving forum “Good arrangements = total arrangements - bad arrangements. Total arrangements: Number of ways to arrange 6 elements = 6!. But when an arrangement includes IDENTICAL elements, we must divide by the number of ways each set of identical elements can be ARRANGED. The reason: When the identical ...” June 18, 2019 GMATGuruNY posted a reply to If $$\frac{(ab)^2+3ab-18}{(a-1)(a-2)}=0$$ where $$a$$ and in the Problem Solving forum “The equation is valid only if (ab)²+3ab-18 = 0. I: b=1 Plugging b=1 into (ab)²+3ab-18 = 0, we get: a²+3a-18 = 0 (a+6)(a-3) = 0 a=-6 or a=3 This works. Since the correct answer must include I, eliminate B. II: b=2 Plugging b=2 into (ab)²+3ab-18 = 0, we get: 4a²+6a-18 = 0 2a²+3a-9 ...” June 18, 2019 Jay@ManhattanReview posted a reply to If $$\frac{(ab)^2+3ab-18}{(a-1)(a-2)}=0$$ where $$a$$ and in the Problem Solving forum “Given that $$\frac{\left(ab\right)^2+3ab-18}{\left(a-1\right)\left(a+2\right)}=0$$, we have (ab)^2 + 3ab – 18 = 0 => (ab)^2 + 6ab – 3ab – 18 = 0 ab(ab + 6) – 3(ab + 6) = 0 (ab + 6)*(ab – 3) = 0 => ab = –6 or 3 Let''s take each option one by one. I. 1 : If b = 1, ...” June 18, 2019 Jay@ManhattanReview posted a reply to What is the area of the quadrilateral bounded by the... in the Problem Solving forum “By plugging-in x = 0, in the first two equations, we get coordinates of two vertices: 1. (0, 6) and (0, –6). Similarly, plugging-in y = 0, in the first two equations, we get coordinates of the other two vertices: 1. (8, 0) and (–8, 0). With these 4 vertices, we get a quadrilateral. The area ...” June 18, 2019 Jay@ManhattanReview posted a reply to In the diagram above, angle $$C=90^o$$ and $$AC=BC$$. Point in the Problem Solving forum “Since the question wants the answer in ratio, we can assume a convenient value for the sides of the triangle. Say for the rightangled triangle, AC = BC = 1; thus, hypotenuse, AB = √2 Given that Arc $$AXB$$ has its center at $$C$$ and passes through $$A$$ and $$B$$, area of segment AXBCA = ...” June 18, 2019 Jay@ManhattanReview posted a reply to After a fisherman sold 1/4 of the fish he had caught and in the Problem Solving forum “Say the fisherman caught x numbers of fish. Thus, he sold = x/4 numbers of fish; remaining = x – x/4 = 3x/4 number of fish donated = 2/3 of 3x/4 = x/2; remaining = 3x/4 – x/2 = x/4 We are given that x /4 = 4; thus, x = 4*4 = 16 The correct answer: B Hope this helps! -Jay ...” June 18, 2019 GMATGuruNY posted a reply to If the average (arithmetic mean) of seven consecutive in the Problem Solving forum “For any set of consecutive integers, average = median. Let the 7 integers be 1, 2, 3, 4, 5, 6, 7. Since k+2 = average = median = 4, k=2. Product of the greatest and least = 7*1 = 7. The correct answer must yield 7 when k=2. Only C works: k² + 4k - 5 = 2² + (4*2) - 5 = 7 The correct ...” June 17, 2019 GMATGuruNY posted a reply to In how many different ways can 3 fiction books and 3 in the Problem Solving forum “Case 1: The 3 fiction books appear to the left of the 3 nonfiction books Number of ways to arrange the 3 fiction books = 3! = 6 Number of ways to arrange the 3 nonfiction books = 3! = 6 To combine these options, we multiply: 6*6 = 36 Case 2: The 3 nonfiction books appear to the left of the 3 ...” June 17, 2019 GMATGuruNY posted a reply to Is x<0? 1) x^3+1<0 2) x^3+2x^2+x+2=0 in the Data Sufficiency forum “Statement 1: x³ + 1 < 0 x³ < -1 The resulting inequality will hold true only if x < 0. Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: x³ + 2x² + x + 2 = 0 x²(x+2) + (x+2) = 0 (x+2)(x²+1) = 0 The blue factor is equal to 0 if x=-2. It is not possible ...” June 17, 2019 GMATGuruNY posted a reply to How many rectangles can be formed by connecting the grid poi in the Problem Solving forum “https://i.postimg.cc/k681TSrJ/lattice-six-by-five.png To form a rectangle, we must combine a HORIZONTAL LENGTH with a VERTICAL LENGTH: Horizontal length: Number of ways to choose a horizontal length of 1: AB, BC, CD, DE, EF, FG = 6 Number of ways to choose a horizontal length of 2: AC, BD, ...” June 17, 2019 GMATGuruNY posted a reply to If a fair 6-sided die is rolled three times, what is the in the Problem Solving forum “P(exactly n times) = P(one way) * all possible ways. Let T = 3 and N = not 3. P(one way): One way to get exactly one 3: TNN. P(T on the 1st roll) = 1/6. (Of the 6 possible rolls, one is 3.) P(N on the 2nd roll) = 5/6. (Of the 6 possible rolls, five are not 3.) P(N on the 3nd roll) ...” June 16, 2019 GMATGuruNY posted a reply to 10^25 – 560 is divisible by all of the following EXCEPT: in the Problem Solving forum “RULE: MULTIPLE OF X + MULTIPLE OF X = MULTIPLE OF X MULTIPLE OF X + NON-MULTIPLE OF X = NON-MULTIPLE OF X For an integer to be divisible by 3, its digit sum must be a multiple of 3. 10²⁵ - 560 = (100000...) - (560) = 99999...440 Sum of the digits = (9+9+9+9+9...) + (4+4+0) = (multiple ...” June 16, 2019 GMATGuruNY posted a reply to At a certain picnic, each of the guests was served either a in the Data Sufficiency forum “Let D = the double-scoop guests and S = the single-scoop guests. What is value of D? Statement 1: Since 60% received a double-scoop, the remaining 40% received a single scoop. Thus: D/S = 60%/40% = 3/2 No way to solve for D. INSUFFICIENT. Statement 2: Since the D double-scoop guests ...” June 15, 2019 GMATGuruNY posted a reply to A set of 15 different integers has median of 25 and a range in the Problem Solving forum “Range = biggest - smallest. Thus: 25 = biggest - smallest. Smallest = biggest - 25. We can plug the answer choices into the equation above. Since we need the greatest possible integer that could be in the set, we should start with the greatest answer choice. Answer choice E: 50 Smallest ...” June 15, 2019 GMATGuruNY posted a reply to Mixture problem in the Problem Solving forum “2 liters of 25% solution are combined with 6 liters of 40% solution. Average percentage for the entire 8 liters = (2*25 + 6*40)/8 = 290/8 = 36.25. The closest answer is C. Alligation approach: Let V1 and V2 = the two vessels and M = the mixture. Step 1: Plot the three percents on a ...” June 15, 2019 GMATGuruNY posted a reply to It is known that (1.1)^{17} is approximately equal to 5.05. in the Problem Solving forum “1,1¹⁷ ≈ 5 (1.1¹⁷)³ ≈ 5³ 1.1⁵¹ ≈ 125 Thus: 1.1⁵⁰ = a bit less than 125 The correct answer is D.” June 12, 2019 Jay@ManhattanReview posted a reply to If a^n ≠ 0 and n is a positive integer, is n odd? in the Data Sufficiency forum “Let''s take each statement one by one. (1) a^n + a^(n+1) < 0 a^n + a^n*a < 0 a^n*(1 + a) < 0 We see that the product of a^n and (1 + a) is less than 0 or is negative. So, either a^n is negative and (1 + a) is positive or vice-versa. Case 1: Taking a as negative and (1 + ...” June 12, 2019 Jay@ManhattanReview posted a reply to If Beth spent$400 of her earnings last month on rent, how in the Data Sufficiency forum
“Let''s take each statement one by one. (1) Beth saved 1/3 of her earnings last month and spent half of the remainder on rent. Given Beth saved 1/3 of her earnings last month, she spent 1 – 1/3 = 2/3 of her earnings last month. Part spent on rent = 1/2 of 2/3 = 1/3 of her earnings last ...”
June 12, 2019
Jay@ManhattanReview posted a reply to In the diagram above, what is the circumference of the in the Data Sufficiency forum
“We see that /_A = 90º; thus, ∆ABC is a right-angled triangle. And we know that only the diameter subtends an angle of 90º at the circumference of the circle. Thus, BC is the diameter. If we get the value of BC, we will get the value of circumference of the circle. Let''s take each statement ...”
June 12, 2019
ceilidh.erickson posted a reply to Since the routine use of antibiotics can give rise to resist in the Critical Reasoning forum
“If we want to STRENGTHEN an argument, we must first determine how the argument is currently logically flawed, i.e. what information it''s missing. Premises: The routine use of antibiotics can give rise to resistant bacteria capable of surviving antibiotic environments Explanation 1: The ...”
June 11, 2019
ceilidh.erickson posted a reply to If a is an integer, what is the units digit of a^18? in the Data Sufficiency forum
“For more on finding patterns in units digits, see here: https://www.beatthegmat.com/what-is-the-unit-digit-of-the-sum-t297452.html#800962 http://www.beatthegmat.com/remainder-t289535.html#767961 http://www.beatthegmat.com/if-r-s-and-t-are-all-positive-integers-t17201.html#548713 ...”
June 11, 2019
ceilidh.erickson posted a reply to If a is an integer, what is the units digit of a^18? in the Data Sufficiency forum
“When dealing with UNITS DIGITS and exponents, we must look for a pattern. If $$a$$ is an integer, what is the units digit of $$a^{18}?$$ (1) $$a^2$$ has a units digit of 9. We can express $$a^{18}$$ as $$(a^2)^9$$ . If $$a^2$$ has a units digit of $$9$$, then $$a^{18}$$ will have the same ...”
June 11, 2019
ceilidh.erickson posted a reply to In the figure above, what fraction of the circle with center in the Problem Solving forum
“Angles opposite one another have the same measurement. Thus, both non-shaded regions measure 45 degrees from the center of the circle, for a total of 90 degrees. A circle is 360 degrees, so 90 degrees is 1/4 of the circle that is unshaded. That leaves 3/4 of the circle shaded. The answer is D.”
June 11, 2019
GMATGuruNY posted a reply to sum of these 24 integers? in the Problem Solving forum
“For any set that is SYMMETRICAL ABOUT THE MEDIAN: sum = (count)(median) The set is composed of integers in the following ranges: 1234...1432 2134...2431 3124...3421 4123...4321. Each range contains the same number of integers. Thus, the median of the set is equal to the average of ...”
June 11, 2019
ceilidh.erickson posted a reply to Especially in the early years, new entrepreneurs may need to in the Sentence Correction forum
“This question is testing PRONOUN AGREEMENT, PARALLELISM, and IDIOMS. Especially in the early years, new entrepreneurs may need to find resourceful ways, like renting temporary office space or using answering services, that make their company seem large and more firmly established than they may ...”
June 11, 2019
ceilidh.erickson posted a reply to Lyme disease is caused by a bacterium transmitted to humans in the Critical Reasoning forum
“The NUMBER v. PROPORTION flaw is a very common type of logical flaw on CR. For more examples, see: https://www.beatthegmat.com/critical-reasoning-og-13-t277764.html#725229 http://www.beatthegmat.com/i-m-doubting-the-official-answer-of-a-cr-question-t156084.html#551227 ...”
June 11, 2019
ceilidh.erickson posted a reply to Lyme disease is caused by a bacterium transmitted to humans in the Critical Reasoning forum
“With CR questions, pay particular attention to any arguments that involve the conflation of NUMBERS and PROPORTIONS. Premises: - deer ticks pick up the bacterium while in the larval stage by feeding on infected white-footed mice - certain other species on which the larvae feed do not harbor ...”
June 11, 2019
ceilidh.erickson posted a reply to How to Improve Score Beyond V32 in the GMAT Verbal & Essays forum
“Whenever students tell me "I''ve been studying for months but I haven''t seen any improvement!" usually the missing factor turns out to be that they haven''t been REVIEWING deeply. You mention "completing" the OG, but you don''t tell us anything else about your study process. ...”
June 11, 2019
GMATGuruNY posted a reply to In a certain deck of cards in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the least and greatest integers on the cards. D: least = 4, greatest = 14 (14)(next larger integer) = 14*15 = 210. Too big, since each possible product must be less than 200. Implication: The greatest integer must be LESS THAN 14. Eliminate ...”
June 11, 2019
GMATGuruNY posted a reply to Is x^3-x^2+x-1 > 0? in the Data Sufficiency forum
“A critical point occurs when the two sides of an equality are EQUAL. To determine the ranges where the left side is GREATER than the right side, test one value to the left and right of each critical point. x³ - x² + x - 1 > 0? x²(x-1) + (x-1) > 0 (x-1)(x²+1) > 0 The two sides are ...”
June 11, 2019
GMATGuruNY posted a reply to To celebrate a colleague's retirement, the T coworkers in an in the Problem Solving forum
“The T coworkers in an office agreed to share equally the cost of a catered lunch. The lunch costs a total of X dollars. Let X=5 and T=5, implying that the original cost per worker = 5/5 = $1. S of the coworkers fail to pay their share. Which of the following represents the additional amount, ...” June 11, 2019 Jay@ManhattanReview posted a reply to To celebrate a colleague's retirement, the T coworkers in an in the Problem Solving forum “Desired share from each = X/T; The actual share of (T – S) coworkers = X/(T – S) Additional amount by each coworker = X/(T – S) – X/T = SX/T(T – S) The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL ...” June 11, 2019 Jay@ManhattanReview posted a reply to A pod of 6 dolphins always swims single file, with 3 females in the Problem Solving forum “With the given constraint, the 3 females can arrange themselves in 3! = 6 ways; similarly, the 3 males can arrange themselves in 3! = 6 ways. Thus, the total number of ways = 6*6 = 36. The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: ...” June 11, 2019 Jay@ManhattanReview posted a reply to x is a positive integer.find the value of x. in the Data Sufficiency forum “Let''s take each statement one by one. 1) LCM of x and 26 is 52. We see that LCM = 52 = 2^2*13 and 26 = 2*13; thus, x can be either 2^2 = 4 or 2^2*13 = 52. No unique answer. Insufficient. 2) LCM of x and 10 is 20. In the same way, x can be either 2 or 20. No unique answer. Insufficient. ...” June 11, 2019 Jay@ManhattanReview posted a reply to Fractions question. Don't have any clue about it. in the Problem Solving forum “Given (x-2)^4/4 + (y+2)^4/9 = 4, we can note that since the exponents are even (4) for both (x-2)^4/4 and (y+2)^4/9, they are non-negative numbers . Thus, two non-negative numbers add up 4. To get the maximum value of x, we must have the maximum value of (x-2)^4/4. This follows that we must have ...” June 11, 2019 GMATGuruNY posted a reply to When the integer n is divided by 6, the remainder is 3, Whic in the Problem Solving forum “When the integer n is divided by 6, the remainder is 3. When we are given this wording, the smallest option for n is THE REMAINDER ITSELF. Test n=3 in the answer choices: (A) n – 3 = 3-3 = 0 (B) n + 3 = 3+3 = 6 (C) 2n = 2*3 = 6 (D) 3n = 3*3 = 9 (E) 4n = 4*3 = 12 Only D is not a ...” June 10, 2019 Jay@ManhattanReview posted a reply to Franklin’s wage increased by what percent? in the Data Sufficiency forum “Say initially, Franklin’s wage was$x and after the increase, it is $y. Thus, Franklin’s wage increased by (y – x)*100%/x. We have to get the value of (y – x)*100%/x. Let''s take each statement one by one. (1) Franklin’s wage after the increase was$45,000. => y = 45,000. We ...”
June 10, 2019
Jay@ManhattanReview posted a reply to For any numbers a and b, a#b=a + b - ab. If a#b=0, which of in the Problem Solving forum
“We have a#b = a + b – ab = 0 From a + b – ab = 0, we have a = 1/(b – 1) Since if b = 1, the value of a would be indeterminable, we have b ≠ 1. The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep ...”
June 10, 2019
Jay@ManhattanReview posted a reply to If a and b are odd integers, a Δ b represents the product o in the Problem Solving forum
“We have 3 Δ 47 = 3*5*7*9 ....*47. We see that the largest prime number that divides 3 Δ 47 is 47. Note that (3 Δ 47) and (3 Δ 47) + 2 are consecutive odd numbers; thus, they are co-prime to each other. It means that no factor between them is common. Now since (3 Δ 47) + 2 is an odd number, ...”
June 10, 2019
Jay@ManhattanReview posted a reply to When the integer n is divided by 6, the remainder is 3, Whic in the Problem Solving forum
“Say the quotient when the integer n is divided by 6, with the remainder 3 is q. Thus, n = 6q + 3 Let''s take each option one by one. (A) n – 3 => n – 3 = 6q + 3 – 3 = 6q. We see that 6q is a multiple of 6; thus, not the correct answer. (B) n + 3 => n + 3 = 6q + 3 + 3 = 6q + 6 ...”
June 10, 2019
GMATGuruNY posted a reply to A real estate investment firm began the year with 80% of its in the Problem Solving forum
“Let the total investment = $1000, implying that commercial holdings = 80% of 1000 =$800 and that residential holdings = 1000-800 = $200. Since the total$1000 investment grows by 3.5%, the total growth = 3.5% of 1000 = $35. Since the$800 in commercial holdings grows by 7%, the growth in ...”
June 9, 2019
GMATGuruNY posted a reply to In order to conserve the energy and heat in the Sentence Correction forum
“A: reducing the rate at which they burn energy so that it is 25 percent lower Since the penguins are REDUCING THE RATE, we know from context that it refers to the rate, conveying that THE RATE is lower. Regardless, an answer choice may be eliminated for pronoun ambiguity only if an alternate ...”
June 9, 2019
GMATGuruNY posted a reply to Ann deposited money into two new accounts, A and B. Account in the Data Sufficiency forum
“What is the value of 0.08B - 0.05A? Statement 1: B-A = 200 B = A+200 Case 1: A = $100 and B=$300, with the result that 0.08B - 0.05A = 0.08(300) - 0.05(100) = 24-5 = 19 Case 2: A = $200 and B=$400, with the result that 0.08B - 0.05A = 0.08(400) - 0.05(200) = 32-10 = 22 Since 0.08B-0.05A ...”
June 9, 2019
Jay@ManhattanReview posted a reply to Ann deposited money into two new accounts, A and B. Account in the Data Sufficiency forum
“Say Ann deposited $A in Account A and$B in Account B. Thus, she earned 5A/100 = $A/20 in the first year from Account A and earned 8B/100 =$2B/25 in the first year from Account B. We have to get the value of 2B/25 – A/20. Let''s take each statement one by one. 1) Ann deposited $200 ...” June 7, 2019 Jay@ManhattanReview posted a reply to Machines X and Y produced identical bottles at different con in the Data Sufficiency forum “Say Machine X filled X bottles in 4 hours; thus, Machine X''s rate = X/4 bottles per hour; and Machine Y filled X bottles in 3 hours; thus, Machine Y''s rate = Y/3 bottles per hour We have to find out in how many hours will Machine X will fill (X + Y) bottles. It will take (4 + 4Y/X) hours. ...” June 7, 2019 Jay@ManhattanReview posted a reply to At 11 AM, Abraham leaves from his home for meeting that is in the Data Sufficiency forum “Starting at 11 am, Abraham must reach within 2 hours, else he''s late. Let''s take each statement one by one. 1) The venue of the meeting is less than 120 kilometers away. Even if we take the maximum distance = 120 miles and minimum speed = 60 mph, he reaches office in 120/60 = 2 hours. So, ...” June 6, 2019 Jay@ManhattanReview posted a reply to On a particular trip, Jane drove x miles at 30 miles per in the Data Sufficiency forum “Average speed = Total Distance / Total Time Total Distance = (x + y) miles Total Time = (x/30 + y/40) hours Thus, Average speed = (x + y) / (x/30 + y/40) We have to determine whether (x + y) / (x/30 + y/40) > 35 Upon solving (x + y) / (x/30 + y/40) > 35, we get y/x > 4/3. Only ...” June 6, 2019 Jay@ManhattanReview posted a reply to On July 1 of last year, total employees at company E was in the Problem Solving forum “Since we have to deal with percent values and absolute value in the sight, we can assume convenient values, 100. Total no. of employees (Before) = 100 (assumed value) Total salary (Before) = 100 (assumed value) Average salary (Before) = 100/100 =$1 per employee Total no. of employees ...”
June 6, 2019
GMATGuruNY posted a reply to The number line shown contains three points R, S, and T, in the Problem Solving forum
“Let R=-3, S=3 and T=6, implying that r=|-3|=3, s=|3|=3, and t=|6|=6. Average of R, S, and T = (-3+3+6)/3 = 2. The correct answer must yield 2 when r=3, s=3 and t=6. Only E works: (s + t - r)/3 = (3+6-3)/3 = 6/3 = 2 The correct answer is E.”
June 4, 2019
Jay@ManhattanReview posted a reply to If a total of 30 puppies is displayed in the two windows of in the Data Sufficiency forum
“Since we do not know out of 30, how many puppies are on the left and on the right, we cannot calculate how many of the puppies are female. Insufficient. Let''s see how. Say there are x number of puppies on the left, thus, there are (30 – x) number of puppies on the right. From Statement ...”
June 4, 2019
Jay@ManhattanReview posted a reply to Is x > 0.05? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) x > 3/40. => x > 0.075. Since x > 0.075, it is greater than 0.05. Sufficient. (2) x is greater than 3 percent of 50. => x > 3% of 50 x > 3*50/100 x > 1.5. Since x > 1.5, it is greater than 0.05. Sufficient. The ...”
June 4, 2019
Jay@ManhattanReview posted a reply to The number line shown contains three points R, S, and T, in the Problem Solving forum
“Pl. add the image. It is missing. _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring San Francisco | IELTS Prep Courses Austin | Seattle IELTS Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
June 4, 2019
GMATGuruNY posted a reply to The principal feature of the redesigned checks is a series o in the Sentence Correction forum
“In the OA, the list of instructions includes THREE TYPES OF REMINDERS: a reminder TO WATCH a reminder TO COMPARE a reminder TO VIEW In option 2, the list of instructions seems to include the following three nouns: REMINDERS COMPARING VIEWING Thus, the intended meaning is not conveyed in ...”
June 3, 2019
GMATGuruNY posted a reply to Two pieces of fruit are selected out of a group of 8 pieces in the Data Sufficiency forum
“What is the value of P(BB)? Statement 1: From 8 pieces of fruit, the probability of picking an apple = A/8. After 1 of the A apples has been picked, the number of remaining apples = A-1. From the 7 remaining pieces of fruit, the probability of picking one of the A-1 remaining apples = ...”
June 3, 2019
Jay@ManhattanReview posted a reply to Pat has a pocket full of quarters, dimes, and nickels. He in the Problem Solving forum
“Say the number of quarters, dimes, and nickels Pat has are x, y and z, respectively. It is known that x, y and z are positive integers. Since the question ask for the number of nickles, Pat must have either quarters, and nickels or dimes, and nickels Case 1: Say Pat has 6 coins that are ...”
June 3, 2019
Jay@ManhattanReview posted a reply to Each of the 200 students in a class enrolled in at least one in the Problem Solving forum
“Say, the number of participants in Physics = P = 30; the number of participants in Chemistry = C = 150; the number of participants in Mathematics = M = 100; the number of participants in Physics as well as Chemistry = PC; the number of participants in Physics as well as Mathematics = PM; ...”
June 3, 2019
Jay@ManhattanReview posted a reply to In a sequence of 40 numbers, each term, except for the first in the Problem Solving forum
“Say the first term = a; thus, the 2nd term = a – 7; the 3rd term = a – 7 – 7 = a – 2*7; the 4th term = a – 3*7; Thus, the 40th term = a – 39*7 Since terms are decreasing in value, the smallest term would be the 40th term and the greatest term would be the first term = a = 281. ...”
June 3, 2019
Jay@ManhattanReview posted a reply to Five friends play blackjack in Las Vegas and lose an average in the Problem Solving forum
“Given that the average is $100 each, total loss of five friends = 5*100 =$500. It is also given that two friends lost a total of $380; thus, the other three friends together have lost 500 – 380 =$120. Thus, the average loss of the other three friends = 120/3 = $40. The correct answer: ...” June 3, 2019 ceilidh.erickson posted a reply to A company that ships boxes to a total of 12 distribution in the Problem Solving forum “On problems like this, the easiest solution is just to use the answer choices and count the possibilities. Imagine these options for colors: R = red O = orange Y = yellow G = green B = blue P = purple (we''ll add more if we need them) For each answer choice, count the options for a single ...” June 2, 2019 ceilidh.erickson posted a reply to If $$a, b$$, and $$c$$ are integers, what is the value of in the Data Sufficiency forum “Ian has an excellent point here! The question doesn''t specify non-negative. I think this shows how we all really synthesize before we extrapolate - after reading statement 1, when I read statement 2 I immediately thought "well a=5, but I don''t know that from this one alone" and didn''t ...” June 2, 2019 ceilidh.erickson posted a reply to Mike has twice as many stamps as Jean has. After he gives in the Problem Solving forum “This type of 2-variable word problem is know as an EXCHANGE problem, and it can be tricky. For more on exchange problems and translating other tricky word problems, here is a video lesson: https://www.youtube.com/watch?v=5Kg6mjNhLM8&list=PLYZACiD6j3VsFlDR68gbF9CK9gZedcPbY&index=11&t=0s ...” June 1, 2019 ceilidh.erickson posted a reply to Mike has twice as many stamps as Jean has. After he gives in the Problem Solving forum “We can easily translate this algebraically. Let M = Mike''s original # of stamps, and J - Jean''s original # of stamps. Mike has twice as many stamps as Jean has --> $$M=2J$$ After he gives Jean 6 stamps, he still has 8 more stamps than Jean does --> $$M-6=(J+6)+8$$ *NB: remember that ...” June 1, 2019 ceilidh.erickson posted a reply to If $$a, b$$, and $$c$$ are integers, what is the value of in the Data Sufficiency forum “If $$a, b$$, and $$c$$ are integers, what is the value of $$a$$? We''re given no information in the question stem except that these variables are integers. So, we have to dive into the statements: (1) $$2^a+2^b=33$$ Think of combinations of powers of 2 that would add to 33. Since 33 is odd, ...” June 1, 2019 ceilidh.erickson posted a reply to GMAT Official Practice Tes #6 in the GMAT Math forum “Since we''re asked what the value is *closest* to, Marty is right - we don''t have to do complicated math, we can just estimate with the larger numbers. But, for a lot of exponent questions with addition or subtraction, we can''t simply add or subtract the bases, but we can FACTOR: ...” June 1, 2019 ceilidh.erickson posted a reply to A fair coin has 2 distinct flat sides—one of which bears t in the GMAT Integrated Reasoning forum “If one coin flip has a 1/2 chance of landing face up, then the probability that two coin flips will both be face up is $$\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}$$ Thus, for any M coin flips, the probability of all flips landing face up is $$p=\frac{1}{2^M}$$ , and for any N coin flips, the ...” June 1, 2019 ceilidh.erickson posted a reply to Need help regarding how to handle SC and RC questions in the GMAT Verbal & Essays forum “GMAT verbal can be very difficult if English isn''t your native language, so I commend you for putting the work in. The good news is that there are recognizable patterns that the GMAT uses again and again, especially in SC. Here''s some advice on how to be more ''mathematical'' about verbal: ...” June 1, 2019 Jeff@TargetTestPrep posted a reply to Last year, the price of a jar of peanut butter at a certain in the Problem Solving forum “We are given that last year, the price of a jar of peanut butter at a certain store was P dollars, and the price of a jar of jelly at the same store was J dollars, where J = 2P. This year the peanut butter price increased by 20%, so the new price is 1.2P. Since the price of jelly decreased by ...” June 1, 2019 GMATGuruNY posted a reply to The vertices of a rectangle in the standard (x,y) coordinate in the Problem Solving forum “To partition the rectangle into equal areas, the line must pass through the CENTER of the rectangle. To determine the x-coordinate of the center, take the average of the x-coordinates that form the base: (0+7)/2 = 3.5. To determine the y-coordinate of the center, take the average of the ...” June 1, 2019 GMATGuruNY posted a reply to 10 factories, working for h hours per day, can produce P in the Problem Solving forum “When the factories work for h hours per day, P cars are produced every 5 days, with the result that 2P cars are produced every 10 days. If the daily work-hours are CUT IN HALF -- to h/2 hours per day -- the number of days required for 2P cars will DOUBLE to 20. Since the time for 2P cars increases ...” June 1, 2019 GMATGuruNY posted a reply to Being a United States citizen since 1988 and born in Calcutt in the Sentence Correction forum “One purpose of the present perfect -- has/have + VERBed -- is to express a past action that affects the present. OA: Bharati Mukherjee...has lived in England and Canada. Conveyed meaning: At some time in the past, Bharati Mukherjet lived in England and Canada, and this past action somehow ...” May 31, 2019 Jeff@TargetTestPrep posted a reply to [re-applicant] Should I retake the GMAT or switch to the GRE in the The GMAT Avengers Study Group forum “Hi deralexandre, It has been a few months since we heard from you. Are you still studying for the GMAT or GRE?” May 31, 2019 Jeff@TargetTestPrep posted a reply to Trying to get 500 in the The GMAT Avengers Study Group forum “Hi John, It has been about a month since we last heard from you. Are you still studying for the GMAT?” May 31, 2019 Jeff@TargetTestPrep posted a reply to GMAT Study group (Asia/US) in the The GMAT Avengers Study Group forum “Hi shoc064, We have not heard from you in about a month. Are you still studying for the GMAT?” May 31, 2019 GMATGuruNY posted a reply to If xy≠0, and 60% of x equals 87.5% of y, what is the value in the Problem Solving forum “60x = 87.5y 120x = 175y 120(x/y) = 175 12(x/y) = 17.5 The correct answer is D.” May 30, 2019 GMATGuruNY posted a reply to Last year, the price of a jar of peanut butter at a certain in the Problem Solving forum “The price of a jar of peanut butter at a certain store was P dollars and the price of a jar of jelly at the same store was J dollars, where J=2P. Let P = 10 and J = 20 This year, the price of peanut butter increased by 20% and the price of jelly decreased by 20% New P = 10 + (20% of 10) = 10 + ...” May 29, 2019 GMATGuruNY posted a reply to In the figure above, $$AB$$ is perpendicular to $$BC$$ and in the Problem Solving forum “Let ∆ABD and ∆CBD each be a 45-45-90 triangle with sides 1, 1 and √2: https://i.postimg.cc/JGVTHJg1/two-45-45-90-triangles.png For the figure above, only option B is true: 1/BD² = 1/BC² + 1/AB² 1/1² = 1/√2² + 1/√2² 1 = 1/2 + 1/2 1 = 1 The correct answer is B.” May 29, 2019 GMATGuruNY posted a reply to GMAT prep question-Confusing one ! in the Sentence Correction forum “To refer to a noun that takes a SINGULAR verb, we use amount. To refer to a noun that takes a PLURAL verb, we use number. A and C: in terms of flights, an equal amount Here, amount cannot serve to refer to flights (a noun that takes a plural verb). Eliminate A and C. E: an equal number as ...” May 29, 2019 GMATGuruNY posted a reply to if x and y are positive , is 4x>3y? in the Data Sufficiency forum “Since y is POSITIVE, the inequalities can safely be divided by y. 4x > 3y x > (3/4)y x/y > 3/4 Question stem, rephrased: Is x/y > 3/4? Statement 1: x > y-x 2x > y 2(x/y) > 1 x/y > 1/2 Case 1: x/y = 2/3 In this case, x/y < 3/4, so the answer to the ...” May 28, 2019 GMATGuruNY posted a reply to A certain fruit stand sold apples for$0.70 each and bananas in the Problem Solving forum
“Consider the following equation: 2x + 3y = 30. If x and y are nonnegative integers, the following solutions are possible: x=15, y=0 x=12, y=2 x=9, y=4 x=6, y=6 x=3, y=8 x=0, y=10 Notice the following: The value of x changes in increments of 3 (the coefficient for y). The value ...”
May 28, 2019
GMATGuruNY posted a reply to probability in the Problem Solving forum
“3 wins and 2 losses = WWWLL. One way to determine the number of ways to get 3 wins is to count the number of ways to arrange the 5 letters WWWLL. The number of ways to arrange 5 elements = 5!. But when an arrangement includes IDENTICAL elements, we must divide by the number of ways each set of ...”
May 27, 2019
GMATGuruNY posted a reply to in old problem.. in other point.. in the Sentence Correction forum
“An ABSOLUTE PHRASE refers to the preceding subject. COMMA + APPOSITIVE serves to explain or define the nearest preceding noun or noun phrase. B and C: The computer company...will purchase the color-printing division of a rival company for $950 million, a part of a deal... Here, the modifier in ...” May 27, 2019 GMATGuruNY posted a reply to A bowl contains equal numbers of red, orange, green, blue, in the Problem Solving forum “Let R=O=G=B=Y=20, for a total of 100 marbles. Kaz eats all of the green candies and half of the orange ones. R=20, O=10, G=0, B=20, Y=20 He eats half of the remaining pieces of each color. R=10, O=5, G=0, B=10, Y=10 He eats red and yellow candies in equal proportions until the total ...” May 26, 2019 GMATGuruNY posted a reply to If a/b<c/d & bd < 0, which of the following inequa in the Problem Solving forum “In I, II and III, test the following case: a=c=d=1 and b=-1, with the result that a/b < c/d and bd < 0. I: ad-bc < 0 Since ad=1*1=1 and bc=-1*1=-1, we get: 1 - (-1) < 0 2 < 0 Not true. Eliminate A and D, each of which include I. II: bc-ad > 0 Since bc=-1*1=-1 abd ...” May 26, 2019 ceilidh.erickson posted a reply to When Congress reconvenes, some newly elected members from in the Sentence Correction forum “This question is testing PARALLELISM and IDIOMS. When Congress reconvenes, some newly elected members from rural states will try and establish tighter restrictions for the amount of grain farmers are to be allowed to grow and to encourage more aggressive sales of United States farm products ...” May 25, 2019 ceilidh.erickson posted a reply to Is $$a > |b|?$$ in the Data Sufficiency forum “For more an ABSOLUTE VALUE with INEQUALITIES, see: https://www.beatthegmat.com/if-x-is-not-equal-to-0-t295221.html#793307 https://www.beatthegmat.com/if-x-y-is-x-y-1-x-0-2-t295200.html#793303 https://www.beatthegmat.com/gmat-prep-1-question-3-t288924.html#765468” May 25, 2019 ceilidh.erickson posted a reply to Is $$a > |b|?$$ in the Data Sufficiency forum “Since this question contains an absolute value, we must be sure to think about NEGATIVE as well as positive possibilities. First, get like bases: $$2^{a-b}>2^4$$ We can infer: $$a-b>4$$ $$a>b+4$$ Since a is greater than b+4, it must also be greater than b itself. But be ...” May 25, 2019 ceilidh.erickson posted a reply to Bob works exactly 8 hours per day assembling widgets at a in the Data Sufficiency forum “If we want to know how many widgets Bob assembles in 4 hours, we need to know his constant RATE of widget assembly. 1) Bob produces 20 widgets in a full workday. We know that a full workday is 8 hours, so this is sufficient to tell us that his rate is 2.5 widgets per hour. Or, you can infer ...” May 25, 2019 ceilidh.erickson posted a reply to Set S consists of five consecutive integers, and set T consi in the Data Sufficiency forum “Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T? Let''s first look at 2 examples of consecutive sets that do have the same median to try to contextualize the ...” May 25, 2019 ceilidh.erickson posted a reply to In Dewey Elementary School, there are two second-grade in the Problem Solving forum “For more on estimating to find right answers on weighted average questions, see: https://www.beatthegmat.com/mixture-problem-og-problem-t295940.html#796297 https://www.beatthegmat.com/mgmat-5th-edition-2-part-question-t267680.html#789804 ...” May 25, 2019 ceilidh.erickson posted a reply to In Dewey Elementary School, there are two second-grade in the Problem Solving forum “Alternatively, you could treat this as a WEIGHTED AVERAGE problem. If one class had 40% walk-to-schoolers and the other had 80%, the weighted average of both classes must be between 40 and 80. Eliminate A. If we had an equal number of students in each class, we''d end up exactly halfway ...” May 25, 2019 ceilidh.erickson posted a reply to In Dewey Elementary School, there are two second-grade in the Problem Solving forum “In Dewey Elementary School, there are two second-grade classes: class A has 35 students and class B has 45 students. If 40% of the students in class A walk to school, and 80% of the students in class B walk to school, what percent of all the students in the second-grade at Dewey Elementary walk to ...” May 25, 2019 ceilidh.erickson posted a reply to Carlos runs a lap around the track in x seconds. His second in the Problem Solving forum “We''re simply looking for the average time per lap (not an average rate or anything more complicated). His lap times in seconds are: 1) x 2) x + 5 3) x - 2 The average of these is: $$\frac{\left(x\right)+\left(x+5\right)+\left(x-2\right)}{3}=\frac{3x+3}{3}=x+1$$ Bear in mind that this is ...” May 25, 2019 GMATGuruNY posted a reply to A husband and wife can complete a certain task in 1 and 2 in the Data Sufficiency forum “Let the job = 12 units. Dividing the four given times into the 12-unit job, we get the following hourly rates: Husband:Wife:Rae:Herman = (12 per hour): (6 per hour) : (3 per hour) : (2 per hour) (Husband + Wife) : (Rae + Herman) = (12+6 per hour) : (3+2 per hour) Couple : Children = 18:5 ...” May 24, 2019 GMATGuruNY posted a reply to A jar contains 8 red marbles and $$y$$ white marbles. in the Data Sufficiency forum “Test the THRESHOLDS and try EXTREMES. Here, the THRESHOLDS are y=8 and y=4. Statement 1: y≤8 Case 1: 8 white marbles, 8 red marbles P(RR) = 8/16 * 7/15 = 7/30. P(one of each color): P(RW) = 8/16 * 8/15 = 8/30. Since RW can be reversed to WR, we multiply by 2: 2(8/30) = 16/30. In ...” May 23, 2019 GMATGuruNY posted a reply to Robots X, Y, and Z each assembled components at their in the Data Sufficiency forum “Let X = X''s rate, Y = Y''s rate, and Z = Z''s rate. r(x) = the ratio of X''s rate to Z''s rate = X/Z. r(y) = the ratio of Y''s rate to Z''s rate = Y/Z. Note: X, Y and Z all represent rates and thus must be POSITIVE. Statement 1: r(x) < r(y) In other words: X/Z < Y/Z. Since ...” May 23, 2019 GMATGuruNY posted a reply to In the diagram above, line BC touches the circle at point C in the Data Sufficiency forum “To determine the area of the circle, we need to know its radius. Question stem, rephrased: What is the value of r? A radius drawn to a tangent line forms a RIGHT ANGLE. Thus, angle OCB is a right angle, with the result that triangle OCB is a right triangle. In right triangle OCB, OB=r, BC=35, ...” May 23, 2019 GMATGuruNY posted a reply to NNN in the Critical Reasoning forum “Consider the following case: The networks airs over one hundred programs focused largely on the opinions of its viewers. The NUMBER of programs tells us nothing about the NATURE of the opinions (whether they are liberal or conservative) or about the network''s REACTION to these opinions (whether ...” May 23, 2019 GMATGuruNY posted a reply to NNN in the Critical Reasoning forum “The two statements together serve to form the conclusion of the programming director. A premise is a FACT not in dispute. A conclusion is an OPINION that CAN be disputed. Only one FACT is presented in the passage: When a liberal news personality was recently added to the Network, an additional ...” May 22, 2019 GMATGuruNY posted a reply to A conveyor belt moves bottles at a constant speed of 120 in the Data Sufficiency forum “Given rate: 120 centimeters per second. Since the statements are in terms of MINUTES, calculate the number of minutes required to move the bottle 90 meters: 90 meters * (100 centimeters)/(1 meter) * (1 second)/(120 centimeters) * (1 minute)/(60 seconds) = (90)/(12*6) = 15/12 = 5/4 = 1.25 minutes ...” May 22, 2019 Jay@ManhattanReview posted a reply to 55 people live in an apartment complex with three fitness in the Data Sufficiency forum “Given that 40 residents are members of exactly one of the three fitness clubs, we have 55 – 40 = 15 residents who are members of (1) A and C clubs (2) A and B clubs (3) B and C clubs and (4) all three clubs (5) no club Say, the number of residents who are members of A and B clubs = AB; ...” May 22, 2019 Jay@ManhattanReview posted a reply to A certain wooded lot contains 56 oak trees. How many pine in the Data Sufficiency forum “Given: There are 56 oak trees. We have to determine the number of pine trees. Let''s take each statement one by one. 1) The ratio of the number of oak trees to the number of pine trees in the lot is 8 to 5. => If there are 8 oak trees, then there are 5 pine trees. Since there are 56 = ...” May 22, 2019 Jay@ManhattanReview posted a reply to Jean is arranging paint brushes used by artists for an in the Problem Solving forum “Since all the brushes of Van Gogh brushes are together, we can count 1 brush So, we have Van Gogh = 1 Monet = 5 Manet = 3 Degas = 4 Toulouse-Lautrec = 2 Total number of ways to arrange 15 brushes = (1 + 5 + 3 + 4 + 2)! = 15! However, since all brushes from the same artist are ...” May 22, 2019 Jay@ManhattanReview posted a reply to When positive integer $$n$$ is divided by 3, the remainder in the Problem Solving forum “Given that the positive integer $$n$$ is divided by 3, and the remainder is 1, we have n, one among 4, 7, 13, 16, 19, 22 ... Also, given that the positive integer $$n$$ is divided by 7, and the remainder is 5, we have n, one among 12, 19, 26, ... The smallest common value for n is 19. Since ...” May 22, 2019 Jay@ManhattanReview posted a reply to In the Land of Oz, only one or two-letter words are used. in the Problem Solving forum “Hi, You only had posted this question previously. Here it is: https://www.beatthegmat.com/in-the-land-of-oz-only-one-or-two-letter-words-are-used-t302027.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring San Antonio | GRE ...” May 22, 2019 Jay@ManhattanReview posted a reply to If the speed of $$X$$ meters per second is equivalent to the in the Problem Solving forum “We have $$X$$ meters per second = $$Y$$ kilometers per hour => $$X$$ meters per second = $$Y$$ * (1,000/3,600) meters per second $$X$$ = $$Y$$ * (5/18) $$Y$$ = $$18X/5$$ The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE ...” May 22, 2019 GMATGuruNY posted a reply to ps 500 test27 #16 in the Problem Solving forum “John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours. Mary worked 2 hours less than John. Since a total of 18 hours are worked -- 10 hours by John, 8 hours by Mary -- let x=18. Since John and Mary are each given$18 in advance, the ...”
May 21, 2019
GMATGuruNY posted a reply to Is x > 0? in the Data Sufficiency forum
“Note: |a|² = a² |a+b|² = (a+b)² Statement 1: Since an absolute value cannot be negative, both sides of the inequality must be nonnegative, allowing us to safely square it: (|x| + |y|)² > |x + y|² |x|² + |y|² + 2|x||y| > (x+y)² x² + y² + 2|x||y| > x² + y² + 2xy |x||y| ...”
May 20, 2019
GMATGuruNY posted a reply to If f(x)=x^4+4x^2+7, f(x)=g(x)^2+3 and g(x) > 0, then g(x) in the Problem Solving forum
“Let x=0, with the result that f(x) = 0+0+7 = 7. Remembering that g(x)>0 and plugging f(x)=7 into f(x)=g(x)²+3, we get: 7 = g(x)²+3 4 = g(x)² g(x) = 2 Since the question stem asks for the value of g(x), the correct answer must yield 2 when x=0. Only B works: x²+2 = 0²+2 = 2 The ...”
May 20, 2019
Marty Murray posted a reply to The fewer restrictions there are on the advertising of legal in the Critical Reasoning forum
“Often, the correct answer to an Inference question is based on a small portion of what the passage says, as is the correct answer to this question. In answering such a question, we have to notice that, even though the correct answer is directly related to only a small portion of what the passage ...”
May 18, 2019
Jay@ManhattanReview posted a reply to If integer C is randomly selected from 20 to 99, inclusive. in the Problem Solving forum
“We have to determine whether C^3 – C is divisible by 12. C^3 – C = C(C^2 – 1) = C(C – 1)(C + 1) = (C – 1)C(C + 1) = Product of three consecutive integers This question can be solved taking few sample values of C from 20 to 99, inclusive. Note that from 20 to 99, inclusive, there are ...”
May 17, 2019
Jay@ManhattanReview posted a reply to If Jay has 99 problems, in how many ways can he select k of in the Data Sufficiency forum
“Repeat entry. Already answered. https://www.beatthegmat.com/if-jay-has-99-problems-in-how-many-ways-can-he-select-k-of-t305204.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring Tampa | GRE Prep Courses Seattle | Boston IELTS ...”
May 17, 2019
GMATGuruNY posted a reply to (n+1)!f(n) = (n-1)!. What is the value of f(1) + f(2) + … in the Problem Solving forum
“f(n) = (n-1)!/(n+1)! f(1) = 0!/2! = 1/2 f(2) = 1!/3! = 1/6 f(3) = 2!/4! = 1/12 f(4) = 3!/5! = 1/20 f(1) + f(2) = 1/2 + 1/6 = 2/3 f(1) + f(2) + f(3) = 2/3 + 1/12 = 3/4 f(1) + f(2) + f(3) + f(4) = 3/4 + 1/20 = 4/5 The sum of the first 2 terms = 2/3. The sum of the first 3 terms = 3/4. ...”
May 17, 2019
GMATGuruNY posted a reply to A 3-digit positive integer consists of non zero digits. If in the Problem Solving forum
“Alternate approach: Integers with exactly 2 digits the same = Total integers - Integers with all 3 digits the same - Integers with all 3 digits different. Total integers: Number of options for the hundreds digit = 9. (Any digit but 0.) Number of options for the tens digit = 9. (Any digit ...”
May 16, 2019
ceilidh.erickson posted a reply to A 3-digit positive integer consists of non zero digits. If in the Problem Solving forum
“There are 3 configurations that would yield a 3-digit integer with 2 of the same digit, one different digit: same]same]different] same]different]same] different]same]same] So, let''s calculate the number of combinations for one of these: same]same]different] There would be 9 non-zero digits ...”
May 16, 2019
ceilidh.erickson posted a reply to The recording industry is fighting a losing battle: it in the Critical Reasoning forum
“For more on this YES / NO test for EVALUATE questions, see: https://www.beatthegmat.com/goronian-lawmaker-goronia-s-cheese-importation-board-the-a-t305457.html#823815 https://www.beatthegmat.com/over-the-last-five-years-demand-for-hotel-rooms-in-cenopoli-t305855.html#825344 ...”
May 16, 2019
ceilidh.erickson posted a reply to The recording industry is fighting a losing battle: it in the Critical Reasoning forum
“When we''re asked to EVALUATE an argument, it''s implied that there is currently missing information - UNSTATED ASSUMPTIONS - that would be needed for the argument to logically cohere. Premises: - recording industry does not have the resources to prosecute all of the individuals who illegally ...”
May 16, 2019
ceilidh.erickson posted a reply to In the nation of Partoria, large trucks currently account in the Critical Reasoning forum
“There are several logical flaws in this argument: Premises: Trucks with three trailers had less than a third of the accident rate of single- and double-trailer trucks Conclusion: one way for Partoria to reduce highway deaths would be to require shippers to increase their use of triple-trailer ...”
May 16, 2019
ceilidh.erickson posted a reply to How many perfect squares are less than the integer $$d$$? in the Data Sufficiency forum
“The best way to approach this problem is to test cases: How many perfect squares are less than the integer d? 1) 23 < d < 33 if d = 32, there are 5 perfect squares less than d: 1, 4, 9, 16, 25 if d = 24, there are 4 perfect squares less than d: 1, 4, 9, 16 Insufficient 2) 27 < ...”
May 16, 2019
ceilidh.erickson posted a reply to In a set of five consecutive integers, which of the in the Problem Solving forum
“OP: there is an error in this question. Are you sure it''s transcribed correctly? As written there is no correct answer. In any consecutive (or evenly spaced) set, the median is always equal to the average. If we want to change the average *without* changing the median, we must make it a ...”
May 16, 2019
ceilidh.erickson posted a reply to Fedora Convertibles began selling the Freewheeler - its in the Critical Reasoning forum
“When we''re asked to EVALUATE an argument, it''s implied that there is currently missing information - UNSTATED ASSUMPTIONS - that would be needed for the argument to logically cohere. Premise: Freewheeler’s sales for May, June, July, and August totaled over 50,000. Conclusion: As a ...”
May 16, 2019
ceilidh.erickson posted a reply to The pioneering research of Lewis Latimer and Thomas Edison, in the Sentence Correction forum
“This question is testing MODIFIERS. If we have an "and" linking two nouns (e.g. "Latimer and Edison") followed by a noun modifier (e.g. "who"), it''s implied that both nouns are being modified. So in "... Lewis Latimer and Thomas Edison, who became ...”
May 16, 2019
GMATGuruNY posted a reply to What is the value of x? in the Data Sufficiency forum
“Statement 1: Squaring both sides, we get: x² + y² + 2xy = x² + y² - 2xy 4xy = 0 xy = 0 Case 1: x=0, with the result that y can be any value Case 2: y=0, with the result that x can be any value Since Case 2 allows x to be any value, INSUFFICIENT. Statement 2: Here, y can be any ...”
May 16, 2019
GMATGuruNY posted a reply to Each of A, B and C represents a one-digit integer. AB and BA in the Problem Solving forum
“325 = 100*3 + 10*2 + 5 648 = 100*6 + 10*4 + 8 Generally: Three-digit integer XYZ = 100X + 10Y + Z Since BA + AB + AB = CAA, we get: (10B+A) + (10A+B) + (10A+B) = 100C + 10A + A 12B + 21A = 100C + 11A 12B + 10A = 100C 12B + 10A = MULTIPLE OF 100 Since B and A are digits, the left side will ...”
May 16, 2019
GMATGuruNY posted a reply to The federal immigration station on Ellis Island - GMATPrep in the Sentence Correction forum
“Yes. E: Of all immigrants...the station processed nearly three quarters of them. Here, the red modifier is redundant with the blue modifier. Generally, COMMA + having + VERBed serves to express an action that happens before the action in the preceding clause. E: The federal immigration ...”
May 15, 2019
Jay@ManhattanReview posted a reply to A chef mixes P ounces of 60% sugar solution with Q ounces of in the Data Sufficiency forum
“From the given information, we have R = P + Q From the first solution, we have Sugar content = 60% of P = 0.6P; and Water content = 40% of P = 0.4P From the second solution, we have Sugar content = 10% of Q = 0.1Q; and Water content = 90% of Q = 0.9Q Total sugar content = 0.6P + ...”
May 15, 2019
Jay@ManhattanReview posted a reply to In the xy-plane, if line k has negative slope, is the in the Data Sufficiency forum
“Say the equation of the line is y = mx + c, where m is the slope and c is the y-intercept of the line Since it is given that line k has a negative slope, we have m < 0 Thus, we can write the equation as y =–|m|x + c We have to determine whether c < 0. Let''s take each statement ...”
May 15, 2019
GMATGuruNY posted a reply to In the xy-coordinate system, rectangle ABCD is inscribed in the Problem Solving forum
“x²+y² = r² is the equation for a circle with its center at the origin and a radius of r. Thus, x²+y² = 25 is a circle with a center at the origin and a radius of 5. The information in the prompt yields the following figure: https://i.postimg.cc/xJCgjxbd/rectangle-in-circle.png OB is a ...”
May 15, 2019
Jay@ManhattanReview posted a reply to In the xy-coordinate system, rectangle ABCD is inscribed in the Problem Solving forum
“https://i.postimg.cc/XXkP1cwW/Screenshot-2019-05-15-at-2-06-52-PM.png The equation of the circle x^2 + y^2 = 25 suggests that the given circle has its center at the origin and radius equal to √25 = 5. Thus, AD = 2*5 = 10 = Diameter. Since AD lies on the X-axis, the coordinate of A = (–5, 0) ...”
May 15, 2019
GMATGuruNY posted a reply to A retail store employs only clerks and managers and the in the Problem Solving forum
“Last year''s payroll = (number of employees)(average hourly wage) = 20*13 = 260. This year 4 clerks are hired, increasing the number of employees to 24. Since the average hourly wage this year = 14, we get: This year''s payroll = (number of employees)(average hourly wage) = 24*14 = 336. ...”
May 14, 2019
GMATGuruNY posted a reply to According to public health officials in the Sentence Correction forum
“Incorrect: More babies were born in 1900 than they were born in 1800. Here, the usage of they implies that the SAME BABIES born in 1900 were also born in 1800 -- a nonsensical meaning. Generally: When a comparison begins with MORE/FEWER + SUBJECT + VERB, the implied clause after than should NOT ...”
May 13, 2019
GMATGuruNY posted a reply to An auto dealer sells each car at either $20,000 or$30,000. in the Data Sufficiency forum
“Statements combined: Case 1: 30 $30,000 cars are marked up 30%'' 20$20,000 cars are marked up 20% Case 2: 10 $30,000 cars are marked up 30% 20$20,000 cars are marked up 30% 20 $30,000 cars are marked up 20% In Case 1, the more expensive$30,000 cars are all sold at the higher profit ...”
May 13, 2019
GMATGuruNY posted a reply to OG 13 #9 in the Sentence Correction forum
“When a statistic decreases in value, we use lower rather than less. Incorrect: The temperature was less in the second experiment than in the first. Correct: The temperature was lower in the second experiment than in the first. Most of the country’s biggest daily newspapers had lower ...”
May 12, 2019
GMATGuruNY posted a reply to In how many different ways can a soccer team finish the in the Problem Solving forum
“Alternate approach: There are 6 slots in the season: 3 wins, 2 losses and 1 draw. From the 6 slots, the number of ways to choose 3 to be occupied by the 3 wins = 6C3 = (6*5*4)/(3*2*1) = 20. From the 3 remaining slots, the number of ways to choose 2 to be occupied by the 2 losses = 3C2 = ...”
May 11, 2019
GMATGuruNY posted a reply to OG 13 #9 in the Sentence Correction forum
“Here, greater serves to modify not costs but PROPORTION. Conveyed meaning: The PROPORTION in the presidential campaign of 1992 was greater than the PROPORTION in any previous election. When comparing elements with regard to WEIGHT, we generally use not lower but LESS. Adam weighs LESS than ...”
May 11, 2019
GMATGuruNY posted a reply to If a, b, and c are positive integers, what is the remainder in the Data Sufficiency forum
“Statement 1: No information about b. INSUFFICIENT. Statement 2: No information about a. INSUFFICIENT. Statements combined: Case 1: c=1, with the result that a=1³=1 and b=(1-2)³=-1 In this case, (a-b)/6 = C.”
May 11, 2019
GMATGuruNY posted a reply to If a, b, and c are positive integers, what is the remainder in the Data Sufficiency forum
“Statement 1: No information about b. INSUFFICIENT. Statement 2: No information about a. INSUFFICIENT. Statements combined: Case 1: c=1, with the result that a=1³=1 and b=(1-2)³=-1 In this case, (a-b)/6 = C.”
May 11, 2019
GMATGuruNY posted a reply to According to surveys by the National Institute on Drug Abuse in the Sentence Correction forum
“Proposed revision: as many young adults as the 1997 survey reported Conveyed meaning: The 1997 survey reported many young adults. This meaning seems illogical. The 1997 survey reported a NUMBER. It did not report the young adults themselves.”
May 10, 2019
GMATGuruNY posted a reply to Ellipsis question in the Sentence Correction forum
“OA: Today, the same amount of acreage produces twice as many apples as it did in 1910. The phrase in blue conveys that the amount of acreage producing apples today is the SAME as the amount that produced apples in 1910. For example: If 100 acres produced apples in 1910, then 100 acres are ...”
May 10, 2019
GMATGuruNY posted a reply to An art gallery has only paintings and sculptures. Currently, in the Problem Solving forum
“This is an EITHER/OR group problem. Every piece of art is EITHER a painting OR a sculpture. Every piece of art is EITHER displayed OR not displayed. For an EITHER/OR group problem, we can use a GROUP GRID (also known as a double-matrix) to organize the data. Let P = paintings, S = ...”
May 10, 2019
GMATGuruNY posted a reply to The sum of two numbers is 1 and their product is -1. What is in the Problem Solving forum
“x³ + y³ = (x+y)(x²+y²-xy) Since x+y=1, we get: (x+y)² = 1² x² + y² + 2xy = 1 Substituting xy=-1 into x² + y² + 2xy = 1, we get: x² + y² + 2(-1) = 1 x² + y² = 3 Substituting x+y=1, x²+y²=3 and xy=-1 into x³ + y³ = (x+y)(x²+y²-xy), we get: x³ + y³ = (1)(3-(-1)) = ...”
May 8, 2019
GMATGuruNY posted a reply to According to surveys by the National Institute on Drug Abuse in the Sentence Correction forum
“Correct! The OA to SC71 in the OG11 includes a similar construction: The cameras of the Voyager II spacecraft detected six small, previously unseen moons circling Uranus, doubling...the number of satellites now known to orbit the distant planet.”
May 7, 2019
GMATGuruNY posted a reply to GMATPrep SC in the Sentence Correction forum
“Here, much and the increase are redundant, since both words refer to an amount. Proposed revision: The number of people flying first class on domestic flights rose sharply in 1990, twice the increase of the previous year. Implied comparison: The NUMBER OF PEOPLE flying in 1990 was twice ...”
May 7, 2019
GMATGuruNY posted a reply to If each child in a group of children received either one or in the Data Sufficiency forum
“Let x = the number of children receiving 2 candies each and y = the number of children receiving 1 candy each. Thus: Total number of candies = 2x + y. Question stem, rephrased: What is the value of x? Statement 1: Of every 4 children, 1 receives 2 candies and 3 each receive 1 candy. ...”
May 7, 2019
GMATGuruNY posted a reply to Anthony and Michael sit on the six-member board of directors in the Problem Solving forum
“A 3-person committee that includes Michael will be composed of Michael and two other people chosen from the remaining five members. From 5 members, the number of ways to choose 2 = 5C2 = 10. Of these 10 pairs, the number that will include Anthony = 4. (Since there are 4 other people who could ...”
May 7, 2019
GMATGuruNY posted a reply to A bucket full worns in the Problem Solving forum
“Let the number of worms = 60. Since the rat eats 1/6 of the 60 worms -- in other words, 10 worms -- in 5 hours, the rat''s rate = w/t = 10/5 = 2 worms per hour. 1/4 of the 60 worms = 60/4 = 15 worms. Since the rat''s rate = 2 worms per hour, the time for the rat to eat 15 worms = w/r = 15/2 = 7.5 ...”
May 7, 2019
GMATGuruNY posted a reply to A book has 1000 pages numbered 1, 2, 3, …, and so on. How in the Problem Solving forum
“Ignore page 1000, since it does not include the digit 2. To make the calculation easier, consider the remaining pages numbered as 3-digit integers, beginning with 000 and ending with 999: 000, 001, 002...997, 998, 999 There are 1000 options between 000 to 999, inclusive. Since each option is ...”
May 7, 2019
GMATGuruNY posted a reply to The equation (M + 6)/36 = (p – 7)/21 relates two temperatu in the Problem Solving forum
“If M=30 and P=28, both sides of (M + 6)/36 = (P – 7)/21 are equal to 1. The correct answer must yield a valid equation for M=30 and P=28. When the question stem includes the phrase "which of the following," the correct answer is likely to be D or E. E: M = (12/7)P – 18 If M=30 ...”
May 6, 2019
GMATGuruNY posted a reply to What is the remainder when the product of the first 10 prime in the Problem Solving forum
“What is the remainder when 30 is divided by 4? One approach: 1. Break the dividend 30 into factors: 30 = 5*6 2. Divide the divisor 4 into each factor: 5/4 = 1 R1, 6/4 = 1 R2 3. Multiple the resulting remainders: 1*2 = 2 Step 3 indicates that 30 divided by 4 will yield a remainder of 2. ...”
May 6, 2019
Jay@ManhattanReview posted a reply to The equation (M + 6)/36 = (p – 7)/21 relates two temperatu in the Problem Solving forum
“We are given (M + 6)/36 = (P – 7)/21 Multiplying each side by 3, we have 3*E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring Houston | SAT Prep Courses Seattle | Charlotte IELTS Tutoring | and many more... Schedule your ...”
May 6, 2019
Jay@ManhattanReview posted a reply to $$\frac{5+5\sqrt{5}}{10+\sqrt{500}}=$$ in the Problem Solving forum
“We have $$\frac{5+5\sqrt{5}}{10+\sqrt{500}}$$ $$\frac{5(1+\sqrt{5})}{10+\sqrt{5\times100}}$$ $$\frac{5(1+\sqrt{5})}{10+\sqrt{5\times10^2}}$$ $$\frac{5(1+\sqrt{5})}{10+10\sqrt{5}}$$ $$\frac{5(1+\sqrt{5})}{10(1+\sqrt{5})}$$ $$\frac{1}{2}$$ The correct answer: A Hope this helps! -Jay ...”
May 6, 2019
Jay@ManhattanReview posted a reply to If the mean of list A is 6.8 and the standard deviation is in the Problem Solving forum
“The range for elements within 1 unit of standard deviation is given by (6.8 – 3.6) – (6.8 + 3.6) => 3.2 – 10.4 The elements within 3.2 – 10.4 range are 9, 6, 9, 10, 7, 4, and 5. There are 7 elements. The correct answer: E Hope this helps! -Jay _________________ Manhattan ...”
May 6, 2019
Jay@ManhattanReview posted a reply to The product of n consecutive integers equals P. in the Problem Solving forum
“Since there are at least two integers (given that n ≥ 2), the product of n integers must be even (we have at least one 2 in P). So, Statement I is correct, therefore, Statement II is incorrect. Statement III is not must be true. Let''s take an example: Say, the n consecutive integers are –3, ...”
May 6, 2019
Jay@ManhattanReview posted a reply to In a set of five consecutive integers, which of the followin in the Problem Solving forum
“Say the five consecutive integers are 1, 2, 3, 4 and 5. Thus, we have Median = 3 and Mean = 3. We have to choose an option that will change the mean but not the median. Let''s take each option one by one. A. Multiplying each of the numbers in the set by 6. Number would be 6, 12, 18, 24, and ...”
May 6, 2019
Jay@ManhattanReview posted a reply to If a < b < 0, which of the following must be true? in the Problem Solving forum
“Given that a < b < 0, we know that both a and b are negative and the absolute value of a is greater than that of b; thus, though a < b, we have |a| > |b|. We can take suitable values for a and b. Say a = – 3 and b = –2. Lets'' take each option one by one. A. a^2 < b^2 ...”
May 6, 2019
Jay@ManhattanReview posted a reply to If $$\left(6+\frac{2}{x}\right)\left(x-4\right)=0,$$ and in the Problem Solving forum
“We see that the product of two expressions is 0; for the product to be 0, at least one of the two expressions must be 0. Since x ≠ 0, the term x – 4 ≠ 0; thus, (6 + 2/x) must be 0. (6 + 2/x) = 0 => x = –1/3 The correct answer: C Hope this helps! -Jay _________________ ...”
May 6, 2019
GMATGuruNY posted a reply to If a jury of 12 people is to be selected randomly from a in the Problem Solving forum
“Question rephrased: What is the probability that at least 8 men will be selected to serve on the 12-member jury? P(good outcome) = 1 - P(bad outcome). Here, a BAD outcome means selecting a jury with FEWER than 8 men. Of the 10 men and 5 women in the jury pool, 3 people must be selected NOT ...”
May 5, 2019
Jay@ManhattanReview posted a reply to 8 cities, including Memphis, are finalists to be chosen to in the Data Sufficiency forum
“See this: https://www.beatthegmat.com/mgmat-cat-6-t81455.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring Houston | SAT Prep Courses Seattle | Charlotte IELTS Tutoring | and many more... Schedule your free consultation with ...”
May 5, 2019
Jay@ManhattanReview posted a reply to Last Thursday, John assembled chairs at a rate of 3 chairs in the Data Sufficiency forum
“See here: https://www.beatthegmat.com/work-rate-t305671.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring Houston | SAT Prep Courses Seattle | Charlotte IELTS Tutoring | and many more... Schedule your free consultation with ...”
May 5, 2019
Jay@ManhattanReview posted a reply to How many options are there for license plate number if each in the Problem Solving forum
“Number of ways each license plate can include 2 digits and 3 letters (in that order) = 10^2 * 26^3; (there are 10 digits, incl 0; note that digits and alphabets can repeat) Number of ways each license plate can include 3 digits and 2 letters (in that order) = 10^3 * 26^2 Total number of ways = ...”
May 5, 2019
ceilidh.erickson posted a reply to Last year a record number of new manufacturing jobs were in the Critical Reasoning forum
“For more on using this strategy for BOLDFACE questions on CR, see: https://www.beatthegmat.com/journalist-every-election-year-at-this-time-the-state-gover-t306075.html https://www.beatthegmat.com/most-of-western-music-since-the-renaissance-has-been-based-t305309.html#823603 ...”
May 4, 2019
ceilidh.erickson posted a reply to Last year a record number of new manufacturing jobs were in the Critical Reasoning forum
“The goal in any BOLDFACE question is to deconstruct the argument, and determine the role of each statement: - author''s conclusion / position - reasoning that supports the author''s position - the counterpoint / what others believe - support for the counterpoint - neutral / background ...”
May 4, 2019
ceilidh.erickson posted a reply to Ramón pointed out that food high in whole-grain fiber creat in the Sentence Correction forum
“This question is testing SUBJECT-VERB AGREEMENT, modifiers, & logical lists. In the dependent clause "... that food (high in whole grain fiber) creates...", the subject is the singular "food" and the verb is "creates." A. fiber creates the energy we need to ...”
May 4, 2019
ceilidh.erickson posted a reply to The outside of the rectangular box represented in the figure in the Problem Solving forum
“If we want the minimum amount of wrapping paper, we want to know the SURFACE AREA of all surface except the bottom surface. Calculate each: Top surface area = 25 x 10 = 250 2 sides of 5 x 10 = 2(5*10) = 100 2 sides of 5 x 25 = 2(5*25) = 250 250 + 100 + 250 = 600 The answer is B.”
May 4, 2019
ceilidh.erickson posted a reply to On a scale drawing, a rectangle 1 inch by 1 and 1/3 inches in the Problem Solving forum
“If the scale is 1 in = 15 ft, then the dimensions of the floor = 15x20 ft. https://i.postimg.cc/4K6VcCdg/Screenshot-2019-05-04-17-44-08.png If each tile is 6 in x 6 in, that''s 1/2 ft x 1/2 ft square. So every 1 sq feet of floor would take 4 tiles. ...”
May 4, 2019
ceilidh.erickson posted a reply to In the floor plan of an executive's beach house above in the Problem Solving forum
“Let''s set aside the fact that this is an awful floorplan. How would you find furniture to fit this house?! <i class="em em-joy"></i> If the two wall of the living room are parallel, then the kitchen and the (kitchen + living room + bath) are SIMILAR triangles. Similar ...”
May 4, 2019
ceilidh.erickson posted a reply to How many integers between 0 and 1570 have a prime tens and in the Problem Solving forum
“This is a COMBINATORICS problem. If we''re looking for a prime tens and units digit, we''re counting single-digit prime numbers: 2, 3, 5, and 7. Now we need to count the possibilities for each digit. Since we have the constraint that we''re looking for all #s 0-1570, we have to be careful, ...”
May 4, 2019
GMATGuruNY posted a reply to 7, 9, 6, 4, 5, x If x is a number in the list above in the Data Sufficiency forum
“Given numbers in ascending order: 4, 5, 6, 7, 9 Statement 1: Smallest 3 numbers are 4, 5, and 6. Greatest 3 numbers are 7, 9 and x, where x is any number greater than 7. Thus: Median = average of the 2 middle numbers =(6+7)/2 = 6.5. SUFFICIENT. Rule: For any set that is SYMMETRICAL ...”
May 4, 2019
GMATGuruNY posted a reply to Romeo and Juliet play a dice game in which the two in the Problem Solving forum
“Let P(R) = the probability that Romeo wins and P(J) = the probability that Juliet wins. Since there are only two possible outcomes -- either Romeo wins or Juliet wins -- we get: P(R) + P(J) = 1 Probability that Romeo wins on the first roll = 1/6 Probability that Romeo wins on the third roll ...”
May 3, 2019
Jay@ManhattanReview posted a reply to If x is not equal to -y, is (x-y)/(x+y) > 1? in the Data Sufficiency forum
“Given: x ≠ –y or x + y ≠ 0. We have to determine whether (x – y)/(x + y) > 1 Let''s take each statement one by one. (1) x > 0 Case 1: Say x = 1 and y = 2 Thus, we have (x – y)/(x + y) = (1 – 2)/(1 + 2) = –1/3 < 1. The asnwer is no. Case 2: Say x = 2 and y = ...”
May 3, 2019
Jay@ManhattanReview posted a reply to A child bought candy that cost $$85$$ cents. If the child in the Data Sufficiency forum
“Say the child uses x quarters, y dimes, and z nickels. Thus, we have 25x + 10y + 5z = 85 => 5x + 2y + z = 17 ---(1) We have to determine whether x ≥ 2. Let''s take each statement one by one. 1) The child used 8 coins. => x + y + z = 8 ---(2) Case 1: Say x = 1 Thus, ...”
May 3, 2019
Jay@ManhattanReview posted a reply to The length, width, and height of a rectangular box in the Data Sufficiency forum
“With the given information, we have Volume of the box = V = LWH; and Area of the box = A = 2(LW + WH + LH) Thus, V/A = LWH / 2(LW + WH + LH) Let''s take each statement one by one. (1) At least 2 of L, W, and H are equal to 5. We do not know the value of the third side, we can''t get ...”
May 3, 2019
GMATGuruNY posted a reply to Tickets for all but 100 seats in a 10,000-seat stadium were in the Problem Solving forum
“If all 10,000 tickets are sold, we get: 20% sold for $1 each = 2000*1 = 2,000 80% sold for$2 each = 8000*2 = 16,000 Total revenue = 2000+16000 = 18,000 Since 100 tickets are not actually sold, the total revenue must be a bit less than 18,000. The correct answer is B.”
May 2, 2019
Jay@ManhattanReview posted a reply to Is quadrilateral PQRS a parallelogram? in the Data Sufficiency forum
“For the quadrilateral PQRS to be a parallelogram, the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. Let''s take each statement one by one. (1) Adjacent sides PQ and QR have the same length. The opposite ...”
May 2, 2019
Jay@ManhattanReview posted a reply to A craftsperson made 126 ornaments and put them all into in the Data Sufficiency forum
“Say there are x numbers of boxes that contained 6 ornaments and y numbers of boxes that contained 24 ornaments; thus, we have 6x + 24y = 126 x + 4y = 21 y = (21 – x)/4 We have to get the value of y. (1) Fewer than 4 of the boxes contained 6 ornaments. => x: { 1, 2, 3} Since x ...”
May 2, 2019
GMATGuruNY posted a reply to Tony owns six unique matched pairs of socks. All twelve sock in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the minimum number of socks that must be pulled. When the correct answer choice is plugged in, the probability of NOT picking a matching pair will be LESS than 1/2 (implying that the probability of picking a matching pair will be MORE than 1/2). Since we ...”
May 2, 2019
GMATGuruNY posted a reply to Tony owns six unique matched pairs of socks. All twelve sock in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the minimum number of socks that must be pulled. When the correct answer choice is plugged in, the probability of NOT picking a matching pair will be LESS than 1/2 (implying that the probability of picking a matching pair will be MORE than 1/2). Since we ...”
May 2, 2019
Jay@ManhattanReview posted a reply to A company produces a certain toy in only 2 sizes, small or in the Data Sufficiency forum
“Say the company produces x numbers of small and y numbers of large toys. Thus, Number of red toys = Number of green toys =x/2 + y/2 = (x + y)/2 We have to get the value of y / B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT ...”
May 2, 2019
Jay@ManhattanReview posted a reply to After the first two terms in a sequence of numbers, each in the Data Sufficiency forum
“Say the first two terms are a and b, respectively. Thus, the first five terms are a, b, (a + b), 2(a + b), 4(a + b). We have to determine whether 4(a + b) = 12 or (a + b) = 3. Let''s take each statement one by one. (1) The sum of the first 3 terms in the sequence is 6. => The ...”
May 2, 2019
Jay@ManhattanReview posted a reply to Jones has worked at Firm X twice as many years as Green in the Data Sufficiency forum
“Say Jones worked for J years, Green G years, and Smith S years in Firm X. Thus, J = 2G and G = S + 4 We have to get the value fo G. Let''s take each statement one by one. (1) Jones has worked at Firm X 9 years longer than Smith. J = S + 9 From J = 2G, G = S + 4, and J = S + 9, we ...”
May 2, 2019
Jay@ManhattanReview posted a reply to A noncompressible ball in the shape of a sphere is to in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The radius of the ball is equal to 2 inches. Certainly insufficient. The square of any dimension: sufficient enough to let the ball pass to very large. (2) The square opening is the smallest square opening through which the ball will fit. ...”
May 2, 2019
GMATGuruNY posted a reply to Train A leaves the station at 5:00, and travels north at 50 in the Data Sufficiency forum
“Statement 1: From 5pm to 6pm, A travels on its own for 1 hour at a rate of 50 mph, with the result that A travels ahead 50 miles. Since B''s rate is unknown, we cannot determine when B catches up to A. INSUFFICIENT. Statement 2: Since A''s 50-mph rate is 5/6 of B''s rate, we get: 50 = ...”
May 1, 2019
GMATGuruNY posted a reply to x^2 + 4x + 1 = 0. What is the value of x^2 + 1/x^2? in the Problem Solving forum
“x² + 4x + 1 = 0 Dividing both sides by x, we get: (x² + 4x + 1)/x = 0/x x + 4 + 1/x = 0 x + 1/x = -4 Squaring both sides, we get: (x + 1/x)² = (-4)² x² + 1/x² + 2(x)(1/x) = 16 x² + 1/x² + 2 = 16 x² + 1/x² = 14 The correct answer is C.”
May 1, 2019
Jay@ManhattanReview posted a reply to What is the value of 2/(2−√2)? in the Problem Solving forum
“We have $$\frac{2}{2-\sqrt{2}}$$ Let''s rationalize the denominator Multiplying $$\frac{2}{2-\sqrt{2}}$$ by $$\frac{2+\sqrt{2}}{2+\sqrt{2}}$$; this will not chnage the value of the fraction. $$\frac{2}{2-\sqrt{2}}$$ * $$\frac{2+\sqrt{2}}{2+\sqrt{2}}$$ ...”
May 1, 2019
Jay@ManhattanReview posted a reply to What is the slope of the line defined by the equation in the Problem Solving forum
“Slope of a line is m for a linear equation $$y = mx + c$$ So, let''s manipulate the equation of the line $$2x - 3y = 9$$ into $$y = mx + c$$. $$2x - 3y = 9$$ => $$-3y = 9-2x$$ => $$y = \frac {9}{-3} - \frac {2x}{-3}$$ => $$y = -3 + \frac {2}{3}x$$ Thus, slope = 2/3 The correct ...”
May 1, 2019
Jay@ManhattanReview posted a reply to If $$\frac{2.25\cdot10^a}{0.15\cdot10^b}=1.5\cdot10^3,$$ in the Problem Solving forum
“We have $$\frac{2.25\cdot10^a}{0.15\cdot10^b}=1.5\cdot10^3,$$ $$\frac{225\cdot10^a}{15\cdot10^b}=1.5\cdot10^3,$$ $$(15\cdot10^{(a – b)})=1.5\cdot10^3,$$ $$(1.5\cdot10\cdot10^{(a – b)})=1.5\cdot10^3,$$ $$(10^{(a – b + 1)})=10^3,$$ => a – b + 1 = 3 a – b = 2 The ...”
May 1, 2019
Jay@ManhattanReview posted a reply to In the figure above, circles with centers A and B are in the Problem Solving forum
“The area of the shaded region = 90 – Area of two circles To get the area of the circles, we need radius. Since the area of the rectangle, JKLM is 90, we have KJ * KL = 90 => KJ * 15 = 90 => KJ = 6 Radius of the circle = KJ/2 = 6/2 = 3 Thus, area of a circle = π*3^2 = 9π ...”
May 1, 2019
Jay@ManhattanReview posted a reply to What is the units digit of 18^47 ? in the Problem Solving forum
“The units digit of 18^47 is the same as the units digit of 8^47. Power cycle of 8: 8^1 = 8; 8^2 = ...4; 8^3 = ...2; 8^4 = ...6; 8^5 = ...8; 8^6 = ...4; 8^7 = ...2; 8^8 = ...6; So the units digit of 8 in power cycle repeats a pattern of 4 numbers: 8, 4, 2, and 6 We have 18^47 = ...”
May 1, 2019
GMATGuruNY posted a reply to For all his professed disdain of such activities, Auden was in the Sentence Correction forum
“When a sentence begins with for all + POSSESSIVE, for all = DESPITE. OA: For all his professed disdain of such activities, Auden was an inveterate literary gossip. Conveyed meaning: Despite his professed disdain of such activities, Auden was an inveterate literary gossip. E: In spite of ...”
April 30, 2019
GMATGuruNY posted a reply to Is x+y>0? in the Data Sufficiency forum
“Statement 1: Here, x and y must have the SAME SIGN. If x and y are both positive, then x+y > 0. If x and y are both negative, then x+y < 0. INSUFFICIENT. Statement 2: The inequality implies that x and y are both NONZERO. Since the square of a nonzero value must be positive, we can ...”
April 30, 2019
GMATGuruNY posted a reply to Last year, the average price of eight different products in the Data Sufficiency forum
“We can determine this year''s average price if we know the difference between this year''s revenue and last year''s. Statements combined: Case 1: Last year the 5 products in Statement 1 had an average price of $10, for a total of$50 in revenue In this case, the increase in revenue yielded by ...”
April 30, 2019
GMATGuruNY posted a reply to A basketball coach has won 65 percent of the 400 games she in the Problem Solving forum
“Total games = (400 games already played) + (100 additional games) = 500. Required number of wins = 70% of 500 = 350. Current number of wins = 65% of 400 = 260. Additional wins needed = 350-260 = 90. The correct answer is D.”
April 30, 2019
GMATGuruNY posted a reply to What is the remainder when 1044*1047*1050*1053 is in the Problem Solving forum
“What is the remainder when 30 is divided by 4? One approach: 1. Break the dividend 30 into factors: 30 = 5*6 2. Divide the divisor 4 into each factor: 5/4 = 1 R1, 6/4 = 1 R2 3. Multiple the resulting remainders: 1*2 = 2 Step 3 indicates that 30 divided by 4 will yield a remainder of 2. ...”
April 30, 2019
Jay@ManhattanReview posted a reply to Jack picked 76 apples. Of these, he sold 4y apples to... in the Data Sufficiency forum
“Say Jack is left with x apples. We have to get the unique value of x. So, we have x = 76 – 4y – 3t; given that x, t and y are positive integers Let''s take each statement one by one. (1) y ≥ 15 and t = 2 Case 1: Say y = 15 and t = 2 We have x = 76 – 4y – 3t => x = 76 ...”
April 30, 2019
Jay@ManhattanReview posted a reply to A 6-sided die has 3 black sides and 3 white sides. If the in the Problem Solving forum
“Since the 6-sided die has 3 black sides and 3 white sides, i.e., an equal number of black and white sides, the probability of getting a black side up = 1/2 Instead of calculating the probability that, on at least one of the throws, the die will land with a black side up, let''s calculate the ...”
April 30, 2019
Jay@ManhattanReview posted a reply to A carpenter worked alone for 1 day on a job that would in the Problem Solving forum
“Given that the first carpenter worked alone for 1 day on a job that would take him 6 more days to finish, the rate of the first carpenter = 1/7 Since 1-day work of the first carpenter is done, the part of work remaining = 1 – 1/7 = 6/7 Again, given that the first carpenter and the second ...”
April 30, 2019
Jay@ManhattanReview posted a reply to Geoff is setting up an aquarium and must choose 4 of 6 in the Problem Solving forum
“Number of different combinations of fish and plants Geoff can choose = 6C4 * 3C2 = 6C2 * 3C1 = (6.5/1.2) * 3 = 45 The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep Courses New York | IELTS Prep Courses Boston ...”
April 30, 2019
Jay@ManhattanReview posted a reply to Which of the following describes all values of x for which in the Problem Solving forum
“We are given that 1 – x^2 ≥ 0 => 1 ≥ x^2. This implies that the absolute value of x must not exceed 1. Thus, we have –1 ≤ x ≤ 1. The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep Courses New ...”
April 30, 2019
Marty Murray posted a reply to How divide my study time? Quant/Verbal in the GMAT Strategy forum
“Hi simpm14. First off. This thing of thinking that seeing easy questions means that you are not doing well on the test is way off, for multiple reasons, including the following. - What may be difficult for most people may seem easy to you. - The actual GMAT includes experimental questions, ...”
April 29, 2019
Jay@ManhattanReview posted a reply to A committee is to be created from some employees at Bongo in the Problem Solving forum
“Number of different committees are possible = 5C3 * 6C4 = 5C2 * 6C2 = (5.4/1.2) *(6.5/1.2) = 150 The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep Courses Boston | IELTS Prep Courses San Francisco | ...”
April 29, 2019
Jay@ManhattanReview posted a reply to For which of the following values of x is.... in the Problem Solving forum
“For $$\sqrt{1-\sqrt{2-\sqrt{x}}}$$ to be a real number √(2 – √x) must be non-negative. Thus, 2 – √x ≥ 0 => 0 ≤ x ≤ 4. Thus, the correct answer is E, x = 5. The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE ...”
April 29, 2019
Jay@ManhattanReview posted a reply to Of the 13 employees in a certain department, 1 has an annual in the Problem Solving forum
“Since there are 13 employees, the employee with the median salary would be the 7th one Salaries | # of empD Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep Courses Boston | IELTS Prep Courses San Francisco | Philadelphia ACT ...”
April 29, 2019
GMATGuruNY posted a reply to What is the units digit of the number z? in the Data Sufficiency forum
“Statements combined: Case 1: z=19, with the result that z is between both 17 and 20 and 18 and 21 In this case, the units digit of z is 9. Case 2: z=18.1, with the result that z is between both 17 and 20 and 18 and 21 In this case, the units digit of z is 8. Since the units digit can be ...”
April 28, 2019
GMATGuruNY posted a reply to The number line shown contains three points R, S, and T in the Problem Solving forum
“Let R=-3, S=3 and T=6, implying that r=|-3|=3, s=|3|=3, and t=|6|=6. Average of R, S, and T = (-3+3+6)/3 = 2. The correct answer must yield 2 when r=3, s=3 and t=6. Only E works: (s + t - r)/3 = (3+6-3)/3 = 6/3 = 2 The correct answer is E.”
April 28, 2019
GMATGuruNY posted a reply to Peter and Tom shared the driving on a certain trip. in the Problem Solving forum
“Let the total distance = 5 miles and the time for each driver = 1 hour. Since Peter drives 2/5 of the total distance -- 2 miles -- in 1 hour, Peter''s speed = d/t = 2/1 = 2 miles per hour. Since Tom drives the remaining distance -- 3 miles -- in 1 hour, Tom''s speed = d/t = 3/1 = 3 miles per ...”
April 28, 2019
GMATGuruNY posted a reply to Ten theater students are to begin work on a set for a musica in the Problem Solving forum
“(50 days)/(60 days) = 5/6. To finish the job in 5/6 of the normal time, the crew requires 6/5 of the normal number of students -- an increase of 1/5: (1/5)(10) = 2 more students. The correct answer is A.”
April 27, 2019
Marty Murray posted a reply to How divide my study time? Quant/Verbal in the GMAT Strategy forum
“Hi Mike. I want to add one thing about RC. I realize people talk about "difficult" or "boring" RC passages, but I have to wonder how much of what''s going on is psychological. The passages aren''t really that hard to read, and are only a few paragraphs long. Looking ...”
April 27, 2019
ceilidh.erickson posted a reply to Trouble dividing Sleep Eat Play Study Work in the Lounge forum
“One very important piece of advice - DON''T SKIMP ON SLEEP! Sleep is when memory consolidation happens, so if you''re staying up late to study without sleeping, you won''t hold onto those memories anyway, so it''s wasted effort. Sleep deprivation can essentially cause amnesia in the long run, ...”
April 27, 2019
ceilidh.erickson posted a reply to The recent surge in the number of airplane flights has in the Sentence Correction forum
“This question is testing PARALLELISM and MEANING. When we see "... , and prompts..." we know that we''re looking for a parallel list: X, Y, and Z. Just note: we don''t have to make every verb in the sentence parallel! You might be looking for: ... the surge has clogged air traffic ...”
April 27, 2019
ceilidh.erickson posted a reply to If gh < 0 < gk, is g < 0? in the Data Sufficiency forum
“When we have variables with inequalities, we have to make sure that we don''t make assumptions about the SIGN, i.e. whether it''s positive or negative. If gh < 0 < gk, is g < 0? We definitely can''t divide through by g to get h < 0 < k, because if g were negative, the signs ...”
April 26, 2019
ceilidh.erickson posted a reply to If a and b are positive integers divisible by 6, is 6 the in the Data Sufficiency forum
“In this divisibility question, we can either TEST CASES or use DIVISIBILITY THEORY. If a and b are positive integers divisible by 6, is 6 the greatest common divisor of a and b? (1) a = 2b + 6 Testing Cases: Case 1: b = 6 a = 2(6) + 6 = 18 the GCF of 6 and 18 is 6 --> yes. Case ...”
April 26, 2019
ceilidh.erickson posted a reply to On Monday, Daisy’s Lemonade Stand sold lemonade at 20 cent in the Critical Reasoning forum
“When we''re asked what assertion is supported, we''re really asked what MUST be true, i.e. what''s inferable. If the 2 lemonade stands reported identical revenues and identical profits, we can infer 2 things: 1. the costs must have been identical, since Profit = Revenue - Costs. 2. Since ...”
April 26, 2019
ceilidh.erickson posted a reply to $$w, x$$ and $$y$$ are positive integers such that in the Data Sufficiency forum
“First, infer everything we can from the given information: $$w, x$$ and $$y$$ are positive integers such that $$w \leq x \leq y$$ the average (arithmetic mean) of $$w, x$$ and $$y$$ is $$20$$ Infer --> the sum of w, x, and y is 60. Question: is $$w > 15$$? Since we know that the sum ...”
April 26, 2019
ceilidh.erickson posted a reply to In the United States, of the young adults who move from one in the Critical Reasoning forum
“This question - like many others from Veritas Prep - directly plagiarizes an Official Guide question: Explanation for that question here: https://www.beatthegmat.com/i-m-doubting-the-official-answer-of-a-cr-question-t156084.html#551227 I would advise GMAT studiers to ignore any resources ...”
April 26, 2019
GMATGuruNY posted a reply to OG Most of the country's biggest daily newspapers in the Sentence Correction forum
“Plural terms such as profits, revenues, costs, etc. refer to NUMERICAL VALUES. When comparing plural terms that refer to numerical values, we generally do not use more but instead use -ER comparatives such as higher, lower, greater, etc. Thus, the blue sentence above is correct; the red sentence ...”
April 26, 2019
Jay@ManhattanReview posted a reply to If 25% of the employees at a firm did not take a vacation in the Data Sufficiency forum
“See the image below, which is self-explanatory. https://i.postimg.cc/v1v3bk1B/Picture1.png The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep Courses San Diego | IELTS Prep Courses Denver | San Francisco ACT ...”
April 26, 2019
Jay@ManhattanReview posted a reply to If $$w, y$$, and $$z$$ are positive integers, and in the Data Sufficiency forum
“The optimum approach would be to test values. Given: $$w, y$$, and $$z$$ are positive integers, and $$w = y – z$$ We have to find out whether $$w$$ is a perfect square. Let''s take each statement one by one. 1) $$y + z$$ is a perfect square. Case 1: Say y = 5 and z = 4. We see that ...”
April 26, 2019
Jay@ManhattanReview posted a reply to Of the 60 families in a certain neighborhood, 38 have a cat. in the Data Sufficiency forum
“Say, the number of families that have only dogs = d; the number of families that have only cats = c; the number of families that have both cats and dogs = b; the number of families that have neither cat nor dog = n From the given information, we have d + c + b + n = 60 and b + c = 38; thus, ...”
April 26, 2019
Jay@ManhattanReview posted a reply to At a dinner party, 5 people are to be seated around a in the Problem Solving forum
“Note that the number of distinct arrangments of n distinguishable objects to be placed in a row = n!; while that the number of distinct arrangments of n distinguishable objects to be placed in a circle = (n – 1)! It is because, in the case of arrangement in a circle, two seating arrangements ...”
April 26, 2019
Jay@ManhattanReview posted a reply to If one manual weighs 400 grams, how many kilograms does a in the Problem Solving forum
“48 manuals = 48*400 gms = 48*400/1,000 kg = 19.2 kg. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep Courses San Diego | IELTS Prep Courses Denver | San Francisco ACT Tutoring | and many more... Schedule ...”
April 26, 2019
GMATGuruNY posted a reply to Suppose x = a/b (b≠0). Which of following is equivalent to in the Problem Solving forum
“Let a=2 and b=1, with the result that x = a/b = 2/1 = 2 and that (a²+ab)/(a²+b²) = (4+2)/(4+1) = 6/5. The correct answer must yield 6/5 when x=2. Only A works: (x²+x)/(x²+1) = (4+2)/(4+1) = 6/5 The correct answer is A.”
April 25, 2019
GMATGuruNY posted a reply to Probability Question in the Problem Solving forum
“The approach above counts the following: Cases that include 11: 1122, 1133, 1144, 1155, 1166 Cases that include 22: 2211, 2233, 2244, 2255, 2266 Cases that include 33: 3311, 3322, 3344, 3355, 3366 Cases that include 44: 4411, 4422, 4433, 4455, 4466 Cases that include 55: 5511, 5522, ...”
April 25, 2019
Jay@ManhattanReview posted a reply to In a certain year the United Nations' total expenditures in the Data Sufficiency forum
“Given that 67.8 percent was paid by 6 highest-contributing countries, we have 100 – 67.8 = 32.2 percent was paid by 153 countries, We have to determine whether Country X is one among 6 highest-contributing countries. Let''s take each statement one by one. 1) 56 percent of the total ...”
April 25, 2019
Jay@ManhattanReview posted a reply to In nine independent trials, what is the probability that in the Data Sufficiency forum
“Instead of calculating the probability that Outcome A happens at least once, it''s better we calculate the probability that Outcome A does not happen even once; once we get this value, we would deduct it from 1 and get the answer. Probability that Outcome A happens at least once = 1 – ...”
April 25, 2019
Jay@ManhattanReview posted a reply to On Monday a store had a sale on bottles of juice S and juice in the Data Sufficiency forum
“Let''s take each statement one by one. 1) Two-thirds of the total number of bottles of juice T in stock were sold on Monday. => 2/3 of T and 1/2 of S were sold. We don''t know the values of S and T to compare. Insufficient. (2) At the beginning of the sale, there was a total of 90 ...”
April 25, 2019
Jay@ManhattanReview posted a reply to Is x negative? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) x^3(1 – x^2) < 0 Since x^3(1 – x^2) is less than 0, x cannot be 0. From x^3(1 – x^2) < 0, we have x^3 – x^5 < 0. Divinding the inequality throught by x^2, we get x < x^2. From x < x^2, we get Case 1: Say x = 2, then x^2 ...”
April 25, 2019
Jay@ManhattanReview posted a reply to Of the 60 animals on a certain farm, 2/3 are either pigs or in the Data Sufficiency forum
“Given that of the 60 animals, 2/3 are either pigs or cows, we have cows + pigs = 2/3 of 60 = 40 Say the number of cows = c and the number of pigs = p Thus, c + p = 40 We have to get the value of c. Let''s take each statement one by one. (1) The farm has more than twice as many cows as ...”
April 25, 2019
Jay@ManhattanReview posted a reply to Out of a total of 1,000 employees at a certain corporation, in the Problem Solving forum
“Given that 60 percent of the total number of employees (1,000) work in research, the number of employees working in research = 60% of 1,000 = 600 Thus, the number of employees who do not work in research = 1,000 – 600 = 400 ---(1) Given that out of a total of 1,000 employees, 52 percent are ...”
April 25, 2019
GMATGuruNY posted a reply to On account of a law in the Sentence Correction forum
“The OA is correct because it contains no grammatical errors and conveys a logical meaning. OA: With the cost of wireless service plummeting, many people are now using their mobile phones. Here, the action in blue is accompanied by the plummeting cost of wireless service. This meaning is perfectly ...”
April 24, 2019
Jay@ManhattanReview posted a reply to B is a two-digit number, which can be expressed as the in the Data Sufficiency forum
“Already replied on 9th April. https://www.beatthegmat.com/b-is-a-two-digit-number-which-can-be-expressed-as-the-t307389.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Prep Courses San Diego | IELTS Prep Courses Seattle | Dallas IELTS ...”
April 23, 2019
Jay@ManhattanReview posted a reply to If A and B are positive integers, is the product AB even? in the Data Sufficiency forum
“For AB to be even, at least one between A and B must be even. AB would be odd only if both A and B are odd. Let''s take each statement one by one. 1) The sum A + B is odd. Since A + B is odd, one between A and B is even and the other is odd. Thus, AB is even, Sufficient. 2) A is even. ...”
April 23, 2019
Jay@ManhattanReview posted a reply to The third-place finisher of the Allen County hot dog eating in the Data Sufficiency forum
“Sat the third-place finisher ate T hot dogs and the winner ate W hot dogs. We have to get the value of W. Let''s take each statement one by one. 1) The winner consumed 24 more hot dogs than did the third-place finisher. > W = 24 + T. Insufficient. 2) The winner consumed hot dogs at ...”
April 23, 2019
Jay@ManhattanReview posted a reply to Practice Quant problem in the GMAT Math forum
“We have {2^D Alternate approach: Since we can choose any value for x or y given that xy = 1, say x = y = 1 Thus, (x + y)^2 = (1 + 1)^2 = 2^2 = 4 and (x – y)^2 = (1 – 1)^2 = 0^2 = 0 {2^[(x+y)^2]}/{2^[(x-y)^2]} = {2^4}/{2^0} = 16/1 = 16 -- Correct answer is D. Hope this helps! ...”
April 23, 2019
Jay@ManhattanReview posted a reply to In the figure above, line segment AD is the diameter of in the Problem Solving forum
“We have OA = Radius of circle O = 4; thus, OB = OC = 2 Say the radius of circle E = x Thus, BE =2 + x In the ∆EOB, EO is perpendicular to OB, thus, /_EOB = 90º and EO = Radius of circle O – x = 4 – x Thus, ∆EOB is a right angle triangle. Applying Pythagoras theorem, we have ...”
April 23, 2019
GMATGuruNY posted a reply to Probability Question in the Problem Solving forum
“All possible rolls: Since there are 6 number options for each roll, we get: 6*6*6*6 = 1296 Case 1: Exactly 2 rolls are the same (such as 1123) From 4 rolls, the number of ways to choose a pair to yield the same number = 4C2 = (4*3)/(2*1) = 6. Number options for this pair = 6. (Any of the 6 ...”
April 22, 2019
Jay@ManhattanReview posted a reply to If stock is sold three months after it is purchased, the for in the Problem Solving forum
“From the given information, we have P = $400, S =$420, and D = $5 Thus, r = 400(5 + 420 – 400)/400 = 25 The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses Princeton | ACT Prep Courses Dallas | ...” April 22, 2019 Jay@ManhattanReview posted a reply to A certain car averages 25 miles per gallon when driving in the Problem Solving forum “Time taken to drive 10 miles in city = 10/25 = 2/5 hours; Time taken to drive 50 miles in city = 50/40 = 5/4 hours Total time taken = 2/5 + 5/4 = 33/20 hours Total distance = 10 + 50 = 60 miles Average speed = Total distance / Total time = 60 / (33/20) = appx 36 miles per hour The ...” April 22, 2019 Jay@ManhattanReview posted a reply to If in the Problem Solving forum “We have (√x)^(1/3) = x/5 Applying cube of both the sides, we have D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses Princeton | ACT Prep Courses Dallas | New York IELTS Tutoring | and many more... Schedule your ...” April 22, 2019 GMATGuruNY posted a reply to If j > 1, is integer j a prime number? in the Data Sufficiency forum “Statements combined: Since dividing by 3 or 2 leaves a remainder of 1, j must be 1 more than a multiple of 3 and 2: j = (3*2)a + 1 = 6a + 1, where a is a positive integer Options for j: 7, 13, 19, 25... If j=7, then the answer to the question stem is YES. If j=25, then the answer to the ...” April 21, 2019 GMATGuruNY posted a reply to From a group of 5 managers (Joon, Kendra, Lee, Marnie and in the Problem Solving forum “Approach 1; P = (good pair)/(all possible pairs) Good pair = Marnie and Noomi = 1 option. All possible pairs = the number of ways to select 2 managers from 5 options = 5C2 = (5*4)/(2*1) = 10 options. Thus: P = 1/10 = 0.1 Approach 2: P(M or N is selected first) = 2/5. (Of the 5 managers, 2 ...” April 21, 2019 GMATGuruNY posted a reply to While it costs about the same in the Sentence Correction forum “Here, the phrase in blue implies that people were trying to drive on the freeway but that the process was made challenging by the rain. This meaning is logical. Here, the phrase in red implies that nuclear plants are trying to generate electricity but that the process is made more expensive ...” April 20, 2019 GMATGuruNY posted a reply to Discussion of greenhouse effects has usually in the Sentence Correction forum “An effect is a CHANGE brought about by an event. The Earth ALWAYS has a temperature. Since temperature does not constitute a change, it cannot be an effect. In the OA, EXTREMES are the change brought about by greenhouse emissions. This meaning is logical. The temperature of the Earth is not ...” April 20, 2019 GMATGuruNY posted a reply to What is the value of |x|? in the Data Sufficiency forum “Statement 1: Case 1: x=0, with the result that -|x| = - |0| = 0 In this case, |x| = 0. Case 2: x=-1, with the result that -|-1| = -1 In this case, |x| = 1. Since |x| can be different values, INSUFFICIENT. Statement 2: Thus, x=2 or x=-2. In each case, |x|=2. SUFFICIENT. The correct ...” April 20, 2019 GMATGuruNY posted a reply to Mary's income is 60 percent more than Tim's income, and in the Problem Solving forum “Let J=100. Since Tim''s income is 40% less than Juan''s, T = 100 - (40% of 100) = 100 - 40 = 60. Since Mary''s income is 60% greater than Tim''s, M = 60 + (60% of 60) = 60 + 36 = 96. What percent of Juan''s income is Mary''s income? M/J = 96/100 = 96%. The correct answer is C.” April 20, 2019 Jay@ManhattanReview posted a reply to A citrus fruit grower receives$15 for each crate of oranges in the Data Sufficiency forum
“Say the number of crates of oranges shipped = x and the number of crates of grapefruit shipped = y. We have to get the value of x. 1) Last week the number of crates of oranges that the grower shipped was 20 more than twice the number of crates of grapefruit shipped. x = 20 + 2y ---(1) ...”
April 19, 2019
Jay@ManhattanReview posted a reply to In a group of 25 people, only three languages are spoken in the Data Sufficiency forum
“Say, the number of people who speak only English = E; the number of people who speak only German = G; the number of people who speak only Spanish = S; the number of people who speak only English & German but not Spanish = x; the number of people who speak only English & Spanish but ...”
April 19, 2019
Jay@ManhattanReview posted a reply to How many more men than women are in the room? in the Data Sufficiency forum
“Say the number of men = x and the number of women = y; We have to get the value of x – y. Let''s take each statement one by one. 1) There is a total of 20 women and men in the room. x + y = 20 ---(1) Can''t get x – y. Insufficient. 2) The number of men in the room equals the ...”
April 19, 2019
Jay@ManhattanReview posted a reply to A cyclist rode up and down a mountain along the same route in the Data Sufficiency forum
“Let''s take each statement one by one. 1) His uphill speed averaged 22 kilometers per hour, and his downhill speed averaged 48 kilometers per hour. Say the distance is 22*24 kms; I chose 22*24 kms so that the calculation becomes easy. Thus, time taken going up = (22*24) / (22) = 48 hours ...”
April 19, 2019
Jay@ManhattanReview posted a reply to A certain company currently has how many employees? in the Data Sufficiency forum
“Say currently the company has x employees. We have to determine the value of x. Let''s take each statement one by one. 1) If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company. => x + 3 ≥ 20 x ≥ ...”
April 19, 2019
GMATGuruNY posted a reply to Verb-ing doubt in the Sentence Correction forum
“NOUN + VERBing implies that the VERBing is a restrictive modifier. The purpose of a restrictive modifier is to SPECIFY the type of noun being discussed. Here, the restrictive modifier in blue implies the following: There are many types of planets. The sentence is not referring to all these ...”
April 18, 2019
Jay@ManhattanReview posted a reply to A comics bookstore has comics of only Superman, Batman and in the Data Sufficiency forum
“We have to determine what percent of all comics in the store is on Batman. 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. Say the number comics of Flash, Batman, and Superman, in the library, is 2x, 7x ...”
April 18, 2019
Jay@ManhattanReview posted a reply to Each of three students is given fifteen tokens to spend at in the Data Sufficiency forum
“Say the number of tents Amelia visited that cost 3 tokens = x and the number of tents Amelia visited that cost 4 tokens = y; Thus, the total tokens spent by Amelia = 3x + 4y We know that each student has only 15 tokens; thus, 3x + 4y ≤ 15 We have to get the value of (x + y). Let''s ...”
April 18, 2019
Jay@ManhattanReview posted a reply to Last Thursday, John assembled chairs at a rate of 3 chairs in the Data Sufficiency forum
“Say John assembled chairs for j hours on Thursday; thus, Larry assembled chairs for (7 – j) hours on Friday. The total number of chairs assembled by the two = 3j + 4(7 – j). We have to get the value of 3j. Let''s take each statement one by one. (1) During these two days, John and ...”
April 18, 2019
Jay@ManhattanReview posted a reply to If sequence S has 120 terms, what is the 105th term of S? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) The first term of S is −8. Certainly insufficient as we do not know by what pattern the subsequent terms follow. (2) Each term of S after the first term is 10 more than the preceding term. Certainly insufficient. Though we know the pattern the ...”
April 18, 2019
Marty Murray posted a reply to Rocked The GMAT - Scored 800 (Q51 V51) - Via Meditation in the I just Beat The GMAT! forum
“Here an example of how an unconscious inner conflict was affecting someone''s test performance. I was working with someone preparing for the GMAT and, while his skills were fairly strong in general, he was making crazy "careless errors." In fact, given the choices that he was choosing, ...”
April 17, 2019
GMATGuruNY posted a reply to If x and y are positive integers and in the Data Sufficiency forum
“Statement 1: x=2 $$2^y =2^{2y-3}$$ Since each side has the same base, the two exponents must be equal: y = 2y-3 3 = y Since the values of x and y are known, the value of $$x^y$$ can be determined. SUFFICIENT. Statement 2: Thus, x=2. Same information as in Statement 1. Since Statement ...”
April 17, 2019
GMATGuruNY posted a reply to There are 10 employees in an office. The table shows how in the Problem Solving forum
“List of 10 pet values implied by the chart: 0, 0, 1, 1, 1, 2, 2, 3, 3, 3 Since the answer choices are all 3 or greater, the addition of the manager''s pet value will yield the following list of 11 values: 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, M Since the new average must be equal to the median value ...”
April 17, 2019
Marty Murray posted a reply to A researcher claims that a tornado of a given size and in the GMAT Verbal & Essays forum
“The modifier "both proportionately and in absolute numbers" has to modify "more deaths." That modifier would not modify "to cause," in (B), as "to cause ... in absolute numbers" makes no sense. So, (B ) is out. That modifier might modify ...”
April 17, 2019
Marty Murray posted a reply to GMAT Official Practice Tes #6 in the GMAT Math forum
“You are correct. You can''t add or subtract like bases with different exponents. However, in this case, the question is asking which of the answers the value of $$\left(10^8-10^2\right)\div\left(10^7-10^3\right)$$ is CLOSEST to. So, we don''t need an exact answer. Notice, 10⁸ is much ...”
April 17, 2019
Marty Murray posted a reply to GMAT Prep Practice Test Quant #6 in the GMAT Math forum
“Question: Is x > 3? Information given: x is positive. Statement (1): (x - 1)² > 4 In order for the square of a number to be greater than 4, that number has to be greater than 2 or less than -2. So, in order for (x - 1)² > 4, it must be the case that (x - 1) > 2 or (x - 1) ...”
April 17, 2019
GMATGuruNY posted a reply to Computer-based activities in the Critical Reasoning forum
“In a strengthen CR, the OA SUPPORTS THE PASSAGE. In an inference CR, the PASSAGE SUPPORTS THE OA. Here, the OA supports the passage. The result is a strengthen CR. Since the OA supports the conclusion, its negation naturally will weaken the conclusion.”
April 16, 2019
GMATGuruNY posted a reply to OG Most of the country's biggest daily newspapers in the Sentence Correction forum
“This is the comparison conveyed by the green sentence above. Here, each blue portion has a subject (the company) and a verb (had) and thus constitutes a clause. The result is a logical comparison. This is the comparison implied by the incorrect red sentence above. The first blue portion ...”
April 16, 2019
Jay@ManhattanReview posted a reply to Patricia builds two triangles, each with 30 feet of wood. in the Problem Solving forum
“So, we have two triangles with the perimeter 30 feet given that the sides of the triangles are integers. 1. Triangle-1 has the maximum possible base: The maximum possible base would be a little less than half the perimeter of the triangle. Thus, the maximum possible base < 1/2 of 30 (= ...”
April 16, 2019
Jay@ManhattanReview posted a reply to What is the remainder, after division by 100, of $$7^{10}$$? in the Problem Solving forum
“The remainder, after division by 100, of $$7^{10}$$ would be the last two digits. For example, 243 divided by 100 would leave a remainder 43. Let''s observe the units digits of 7^(positive integer) • 7^1 = 7; units digit = 7; • 7^2 = 49; units digit = 9; • 7^3 = 243; units digit = 3; ...”
April 16, 2019
Jay@ManhattanReview posted a reply to Danny has boxes colored either red or blue. In each blue box in the Problem Solving forum
“Say there are x number of blue boxes and each blue box contains y number of blueberries; similarly, there are a number of red boxes and each blue box contains b number of strawberries, Thus, the total number of blueberries = xy; and the total number of strawberries = ab total number of ...”
April 16, 2019
Jay@ManhattanReview posted a reply to If x and y are positive integers and x = 10y + 5, what is in the Problem Solving forum
“We have x = 10y + 5 => x = 5(2y + 1) We see that x is divisible by 5; thus, x divided by 5 will leave a remainder of 0. The correct answer: A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | ...”
April 16, 2019
Jay@ManhattanReview posted a reply to When positive integer k is divided by 35, the remainder is in the Problem Solving forum
“Say when the positive integer k is divided by 35, the quotient is q and the remainder is 14. Then, we have k = 35q + 14 k = 7(5k + 2) We see that k must be a multiple of 7 or divisible by 7. The correct answer: B Hope this helps! -Jay The correct answer: Hope this helps! ...”
April 16, 2019
Jay@ManhattanReview posted a reply to The dots on the graph above indicate the weights and fuel in the Problem Solving forum
“Pl. see the below self-explanatory image. https://i.postimg.cc/fSn9GvX9/Graph.png The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Manhattan | GRE Prep Courses Boston | ACT Prep Courses San Francisco | Seattle IELTS Tutoring | ...”
April 15, 2019
GMATGuruNY posted a reply to Three salespeople, Dan, Matt, and Nicole, earned annual in the Problem Solving forum
“D:M:N = 3:5:8. The sum of the parts of the ratio = 3+5+8 = 16. The values in red indicate the following: Nicole''s fraction of the total = 8/16 = 1/2. Since Nicole''s $28,000 is 1/2 of the total, the total =$56,000. The correct answer is E.”
April 15, 2019
GMATGuruNY posted a reply to Together, 15 type A machines and 7 type B machines can in the Problem Solving forum
“Let the job = 44 units. Since 15A+7B take 4 hours to complete the 44-unit job, the rate for 15A+7B = w/t = 44/4 = 11 units per hour. Since 8B+15C take 11 hours to complete the 44-unit job, the rate for 8B+15C = w/t = 44/11 = 4 units per hour. Adding together 15A+7B=11 and 8B+15C=4, we get: ...”
April 15, 2019
GMATGuruNY posted a reply to Mark has fewer than 9 coins. Each coin is either a quarter in the Data Sufficiency forum
“Statement 1: 25Q + 10D = 170 5Q + 2D = 34 To minimize the number of coins, we must maximize the value of Q. If Q=6, then D=2, with the result that 5Q + 2D = (5*6) + (2*2) = 34. In this case, the total number of coins = 6+2 = 8. If the value of Q decreases, then the total number of coins ...”
April 15, 2019
GMATGuruNY posted a reply to 12^(1/2) + 108^(1/2) + 48^(1/2) = in the Problem Solving forum
“√12 + (√9 * √12) + (√4 * √12) = √12 + 3√12 + 2√12 = 6√12 = 6 * √4 * √ 3 = 12√3 The correct answer is A.”
April 15, 2019
GMATGuruNY posted a reply to If n is a positive integer greater than 6, what is the in the Data Sufficiency forum
“Approach 1: Since n is greater than 6, and the statements refer to n², make a list of perfect squares greater than 6²: n² = 49, 64, 81, 100, 121, 144, 169, 196, 225. Subtracting 1 from these values, we get the following options for n² - 1: n² - 1 = 48, 63, 80, 99, 120, 143, 168, 195, ...”
April 15, 2019
GMATGuruNY posted a reply to Which of the following is equivalent to in the Problem Solving forum
“Let x=2 and y=1, with the result that (x+y)/3 - (x-y)/4 = 1 - 1/4 = 3/4. The correct answer must yield 3/4 when x=2 and y=1. Only D works: (7y+x)/12 = (7*1 + 2)/12 = 9/12 = 3/4 The correct answer is D.”
April 15, 2019
Jay@ManhattanReview posted a reply to If positive integer 36y is divisible by 10, which of the in the Problem Solving forum
“Given that 36 is divisible by 10, we have y is divisible by 5. Let''s see each option one by one. I. y^2 is divisible by 25: Since y is divisible by 5, we have y^2 is divisible by 25. Correct II. y^2 is divisible by 100: From Statement I, we know that y^2 is divisible by 25, but we cannot ...”
April 15, 2019
Jay@ManhattanReview posted a reply to Seven cars of seven different models are going to park in a in the Problem Solving forum
“Since cars P and Q must be parked together, we can consider them as one. So, we have 6 cars instead of 7 cars. Six cars can be arranged in 6! = 720 ways. Since cars P and Q can be arranged as PQ or QP, the total number of ways = 2!*720 = 1440. Out of these 1440 ways, in half the number of ways, ...”
April 15, 2019
GMATGuruNY posted a reply to In a certain office, 50 percent of the employees are college in the Data Sufficiency forum
“Let T = the total number of employees. Since 60% of the employees are over 40, we get: Over 40 = 0.6T 30% of those over 40 -- in other words, 30% of the expression in blue -- have master''s degrees. Thus: Over 40 with master''s = 0.3(0.6T). To calculate the value of the expression in ...”
April 14, 2019
GMATGuruNY posted a reply to Dwight and Mose decide to build a new barn on their farm, in the Problem Solving forum
“Every time Dwight does 1/4 of the remaining work, 3/4 of the work remains. Every time Mose does 1/6 of the remaining work, 5/6 of the work remains. When Mose starts his third shift, Dwight has completed 3 shifts, while Mose has completed 2 shifts. Thus, the remaining work at the start of Mose''s ...”
April 14, 2019
GMATGuruNY posted a reply to In a law firm, 72% of the employees are associates and 54% in the Problem Solving forum
“Let the total number of employees = 100, implying that the total number of associates = 72% of 100 = 72 and that the number of senior associates = 54% of 100 = 54. The prompt should make clear that every associate is either a junior associate or senior associate, yielding the following equation: ...”
April 14, 2019
ceilidh.erickson posted a reply to If a subscription for 10 issues of a magazine costs $24.00 in the Problem Solving forum “If 10 issues cost$24, that represents an individual cost of $2.40 each. If$2.40 is 20% less than the cover price x, then: $$2.40=\left(0.8\right)x$$ $$2.40=\left(\frac{4}{5}\right)x$$ $$2.40\left(\frac{5}{4}\right)=x$$ $$0.60\left(5\right)=x$$ $$3.00=x$$ The answer is E.”
April 14, 2019
ceilidh.erickson posted a reply to From a group of 21 astronauts that includes 12 people with in the Problem Solving forum
“To count the number of possible crews, we must calculate 2 things: 1. the number of ways to select 1 person with experience out of 12 2. the number of ways to select the remaining 2 people out of the remaining 9 Remember that when counting combinations in a diminishing pool in which order ...”
April 14, 2019
ceilidh.erickson posted a reply to What is the value of xy? in the Data Sufficiency forum
“For more on how the GMAT subverts our expectations of the 2 equations / 2 variables rule, see: https://www.manhattanprep.com/gmat/blog/high-school-algebra-wrong-gmat-breaks-systems-equations-rules/”
April 14, 2019
ceilidh.erickson posted a reply to What is the value of xy? in the Data Sufficiency forum
“Question: What is the value of xy? To answer this question, we need either values for x and y individually, or simply a value for the product xy. (1) y = x + 1 This gives us y in terms of x, but cannot give us the value of xy. Insufficient. (2) y = x^2 + 1 This gives us y in terms of ...”
April 14, 2019
ceilidh.erickson posted a reply to If the positive integer $$n$$ is greater than $$6$$, what is in the Data Sufficiency forum
“Remainder problems in DS often require TESTING CASES: If the positive integer n is greater than 6, what is the remainder when n is divided by 6? We don''t have much given information to unpack here, so let''s move on to the statements: 1) When n is divided by 9, the remainder is 2. ...”
April 13, 2019
GMATGuruNY posted a reply to A library branch originally contained 18360 volumes, 30% of in the Problem Solving forum
“Since the answer choices are PERCENTS, the total number of books can be ANY POSITIVE VALUE. 30% = 3/10, implying a denominator of 10. Let the total number of books = the product of the three denominators 10, 3 and 3 = 10*3*3 = 90. Since 30% of the books are fiction, the number of fiction books ...”
April 12, 2019
e-GMAT posted a reply to GMAT Quantitative: Question of the Week in the GMAT Math forum
“Hello all, We have added a new question this week in our Question of the Week series. Give it a try. Question of the Week- 4 Also, try the previous problems of this series, if you have not done it yet. Stay tuned for more questions. Happy learning. :) Regards,”
April 12, 2019
e-GMAT posted a new topic called e-GMAT Question of the Week #4 in the Problem Solving forum
“While working individually, each of A, B, C and D can produce 60 units of a certain item in a, b, c and d hours respectively, where a, b, c, d are consecutive integers in increasing order. If A and C together can produce 60 units in more than 2 hours, then which of the following cannot be the time ...”
April 12, 2019
GMATGuruNY posted a reply to Heavy commitment by an executive in the Sentence Correction forum
“that-clause includes its own subject and verb and thus does not require an additional agent. In the blue that-clause above, the subject for will meet (verb) is a system of import relief laws. Since it is clear that A SYSTEM will meet the strategic needs, no additional agent is required. An ...”
April 11, 2019
GMATGuruNY posted a reply to Mary and Kate are running clockwise around a circular track in the Problem Solving forum
“Since Mary is behind Kate by 250 meters -- half the circumference of the track -- she will catch up to Mary when she has traveled 250 meters more than Kate. To catch up to Kate a second time, Mary must then travel one more lap than Kate -- in other words, 500 meters more than Kate. Implication: ...”
April 11, 2019
GMATGuruNY posted a reply to Heavy commitment by an executive in the Sentence Correction forum
“The bad weather makes it difficult to work outdoors. Here, the infinitive in blue is not immediately preceded by an agent: the sentence does not specify WHO is intended TO WORK. The implication is that the agent for the blue infinitive is not a specific person but people IN GENERAL, as follows: ...”
April 11, 2019
Jay@ManhattanReview posted a reply to In the figure above, line segment CZ = 6. What is the in the Data Sufficiency forum
“Let''s take each statement one by one. (1) Line segment XY = 4 You may observe that ∆XYZ ≈ ∆BAZ; thus, YX/YZ = BA/AZ => YX/YZ = BA/AZ => 4*AZ = BA*YZ---(1) You may also observe that ∆CZA ≈ ∆BAY; thus, CZ/YZ = BA/YA => CZ/YZ = BA/YA => 6*YA = BA*YZ ---(2) ...”
April 11, 2019
Jay@ManhattanReview posted a reply to Mary and Kate are running clockwise around a circular track in the Problem Solving forum
“Given that Mary runs 1000 meters every five minutes, Mary''s speed = 1000/5 = 200 meters per minute and that Kate runs 1000 meters every six minutes, Kate''s speed = 1000/6 = 500/3 meters per minute Since they are running clockwise (i.e., in the same direction), their relative speed = 200 – ...”
April 11, 2019
Jay@ManhattanReview posted a reply to What amount did Jean earn from the commission on her sales in the Data Sufficiency forum
“Let''s take each statement one by one. (1) In 1988 Jean''s commission was 5 percent of the total amount of her sales. Certainly insufficient. (2) The amount of Jean''s sales in the second half of 1988 averaged $10,000 per month more than in the first half. Certainly insufficient. (1) ...” April 11, 2019 e-GMAT posted a reply to GMAT Quantitative: Question of the Week in the GMAT Math forum “Hello all, We have posted the Official Solution of the Question of the Week #3 Happy learning. :) Regards,” April 11, 2019 e-GMAT posted a reply to Question of the Week - 3 (The value of the variable E is...) in the Problem Solving forum “Solution Given: In this question, we are given that • The value of the variable E is determined by adding the reciprocals of the first 10 even natural numbers. To find: We need to determine • Among the given options, which one can be a possible value of the reciprocal of E. Approach ...” April 11, 2019 Marty Murray posted a reply to Is tutoring necessary for Verbal? in the GMAT Strategy forum “Hi kyuhunl. Increasing your GMAT verbal score is going to take a fair amount of work, maybe even a LOT of work, whether you work with a tutor or work completely on your own. At the same time, a tutor could definitely help you to speed up the process, by guiding your preparation, showing you ...” April 11, 2019 Jay@ManhattanReview posted a reply to $$B$$ is a two-digit number, which can be expressed as the in the Data Sufficiency forum “So, we have B = ae. We have to find out the remainder when B = ae is divided by 12. Let''s take each statement one by one. 1) $$a$$ is an even number greater than 5. a is one among 6, 8, 10, 12, ... 98. These values would ensure that B is a 2-digit number. a = 98 is possible if e = 1. ...” April 10, 2019 Jay@ManhattanReview posted a reply to A circle is drawn within the interior of a rectangle. Does in the Data Sufficiency forum “Let''s take each statement one by one. 1) The rectangle’s length is more than twice its width. Note that if a circle is inscribed in a square and it touches the sides of the square, the area of the circle would be less than that of the square. Given that the rectangle’s length is more than ...” April 10, 2019 Jay@ManhattanReview posted a reply to Al and Barb shared the driving on a certain trip. What in the Data Sufficiency forum “Say the total distance of the trip is D miles and AL drove d miles out of D miles. We have to get the value of d/D. Let''s take each statement one by one. 1) Al drove for $$3/4$$ as much time as Barb did. No information about the distance. Note that we cannot assume that Aland Barb drove at ...” April 10, 2019 Jay@ManhattanReview posted a reply to Two positive integers $$a$$ and $$b$$ are divisible by $$5$$ in the Data Sufficiency forum “Given: GCD of (a, b) = 5 We have to determine the values of $$a$$ and $$b$$. Let''s take each statement one by one. 1) The lowest number that has both integers $$a$$ and $$b$$ as its factors is the product of one of the integers and the greatest common divisor of the two integers. The ...” April 10, 2019 Jay@ManhattanReview posted a reply to Beth's pizzeria offers x different toppings. What is the in the Data Sufficiency forum “Already replied: https://www.beatthegmat.com/beth-s-pizzeria-offers-x-different-toppings-what-is-the-t303478.html Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Geneva GMAT Prep | Free TOEFL Practice Questions | LSAT Prep Courses Toronto | SAT Prep Courses ...” April 10, 2019 GMATGuruNY posted a reply to How many rectangles are found in the lattice below? in the Problem Solving forum “https://i.postimg.cc/Z0xg3MXX/lattice.png To form a rectangle, we must combine as HORIZONTAL LENGTH with a VERTICAL LENGTH: Horizontal length: Number of ways to choose a horizontal length of 1: AB, BC, CD, DE, EF = 5 Number of ways to choose a horizontal length of 2: AC, BD, CE, DF = 4 ...” April 9, 2019 GMATGuruNY posted a reply to If x is a positive integer, is the remainder 0 when in the Data Sufficiency forum “$$3^x + 1$$ will yield a remainder of 0 when divided by 10 if it has a units digit of 0. 3¹ --> units digit of 3. 3² --> units digit of 9. (Since the product of the preceding units digit and 3 = 3*3 = 9.) 3³ --> units digit of 7. (Since the product of the preceding units digit and ...” April 9, 2019 GMATGuruNY posted a reply to If d is a positive integer and f is the product of the first in the Data Sufficiency forum “30! = 30*29*28*....*3*2*1. Statement 1: To determine the greatest possible value for d, we need to know the number of 10''s contained within 30! Since 10=2*5, EVERY COMBINATION OF 2*5 contained within the prime-factorization of 30! will yield a 10. The prime-factorization of 30! is composed ...” April 9, 2019 GMATGuruNY posted a reply to Last year, the price of a jar of peanut butter at a certain in the Problem Solving forum “The price of a jar of peanut butter at a certain store was P dollars and the price of a jar of jelly at the same store was J dollars, where J=2P. Let P = 10 and J = 20 This year, the price of peanut butter increased by 20% and the price of jelly decreased by 20% New P = 10 + (20% of 10) = 10 + ...” April 9, 2019 Jay@ManhattanReview posted a reply to Is |n| < 1? in the Data Sufficiency forum “We have to determine whether |n| < 1. This means that we have to determine whether – 1 < n < 1. Let''s take each statement one by one. (1) n^x – n < 0 Case 1: Say n = 1/2, and x = 2. We see that n^x – n < 0 => (1/2)^2 – (1/2) < 0 => 1/4 – 1/2 < 0 => ...” April 9, 2019 Jay@ManhattanReview posted a reply to In triangle, ABC above, if AB = BC, find the value of y? in the Data Sufficiency forum “From the figure, we see that /_BAC = xº (vertically opposite angle) and /_BCA = (180 – z)º (complementary angle) Since AB = BC, the angles opposite to the side would also be equal. Thus, /_BAC = /_BCA x = 180 – z ---(1) We have to get the value of yº. In the ∆ABC, we have ...” April 9, 2019 Jay@ManhattanReview posted a reply to If m and n are consecutive positive integer, is m greater in the Data Sufficiency forum “Given that m and n are consecutive positive integers, there are two possibilities: 1. m > n and 2. n > m. We have to determine whether m > n. Let''s take each statement one by one. (1) m – 1 and n + 1 are consecutive positive integers. Case 1: Say m – 1 and n + 1 are ...” April 9, 2019 Jay@ManhattanReview posted a reply to Division R of Company Q has 1,000 employees. What is the in the Data Sufficiency forum “Say the number of employees at Company Q who are in Division R is R and their average salary is given by$r. the number of employees at Company Q who are not in Division R is X and their average salary is given by $x. Thus, The average (arithmetic mean) annual salary of the employees at ...” April 9, 2019 Jay@ManhattanReview posted a reply to If # denotes one of the four arithmetic operations addition in the Data Sufficiency forum “Let''s take each statement one by one. (1) n # 0 = n for all integers n • # as addition We see that n # 0 = n + 0 = n; So, 1 # 2 = 1 + 2 = 3. • # as subtraction We see that n # 0 = n – 0 = n; So, 1 # 2 = 1 – 2 = –1. No unique value of 1 # 2. Insufficient. (2) n ...” April 9, 2019 Jay@ManhattanReview posted a reply to At a certain university, the ratio of undergraduate students in the Problem Solving forum “Say there are D numbers of undergraduate students with an associate’s degree and N numbers of undergraduate students without an associate’s degree; thus, we have D/N = 1/3 => (D + N)/N = 4/3, where (D + N) = Total number of graduates Again, say there are G numbers of graduate students ...” April 8, 2019 Jay@ManhattanReview posted a reply to A bus completed first 50 miles of a 120-mile trip at an in the Problem Solving forum “Time taken to complete first 50 miles of a 120-mile trip at an average speed of 20 mph = 50/20 = 2.5 hours; Time taken for halt = 30 minutes = 0.5 hours; Time taken to complete the half of the remaining journey E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep ...” April 8, 2019 Jay@ManhattanReview posted a reply to In a sequence of 12 numbers, each term, except for the first in the Problem Solving forum “Since each subsequent term is less than the previous term, the greatest term in the sequence would be the first term = $$12^{12}$$. Thus, • II term = I term – $$12^{11}$$ = $$12^{12}$$ – $$12^{11}$$; • III term = $$12^{12}$$ – 2*$$12^{11}$$; • II term = $$12^{12}$$ – ...” April 8, 2019 GMATGuruNY posted a reply to If the median and average (arithmetic mean) of a set of 4 di in the Data Sufficiency forum “In ascending order, let the four numbers = a, b, c, d. Since the average of the 4 numbers = 10, we get: (a+b+c+d)/4 = 10 a+b+c +d = 40 Since the median of the 4 numbers = 10, we get: (b+c)/2 = 10 b+c = 20 Subtracting the blue equation from the red equation, we get: (a+b+c+d) - (b+c) = 40-20 ...” April 8, 2019 Jay@ManhattanReview posted a reply to In the figure above, the perimeter of ∆MNP is how much in the Problem Solving forum “We see ∆MNP is an isosceles rightangled triangle; thus, MN is the hypotenuse of the triangle. Length of MN = 8√2 Perimeter of ∆MNP = 8√2 + 8 + 8 = 8(2 + √2) meters Similarly, the shaded triangle is also an isosceles rightangled triangle; thus, its hypotenuse = 5√2 Perimeter of ...” April 8, 2019 Jay@ManhattanReview posted a reply to The figure below represents a track with identical in the Problem Solving forum “From the table, we see that Team B finished after 185 – 178 = 7 seconds of Team A. Thus, of the 42 seconds, the 4th runner ran for 42 – 7 = 35 seconds when Team A finished. Thus, Team B lost by the distance that the 4th runner completed in 7 seconds. From the track figure, we know that the ...” April 8, 2019 e-GMAT posted a reply to GMAT Quantitative: Question of the Week in the GMAT Math forum “Hello all, We have added a new question this week in our Question of the Week series. Give it a try. Question of the Week- 3 Also, try the previous problems of this series, if you have not done it yet. Stay tuned for more questions. Happy learning. :) Regards,” April 7, 2019 e-GMAT posted a new topic called Question of the Week - 2 (The value of the variable E is...) in the Problem Solving forum “The value of the variable E is determined by adding the reciprocals of the first 10 even natural numbers. Which of the following can be a possible value of the reciprocal of E? A. 0.154 B. 0.1818 C. 0.667 D. 2 E. 3.03 To access all questions: Consolidated list of Questions of the Week” April 7, 2019 GMATGuruNY posted a reply to Mixture A is 15 percent alcohol, and mixture B is 50 percent in the Problem Solving forum “A = 15% alcohol B = 50% alcohol The MIXTURE of A and B = 30% alcohol To determine the ratio of A to B, use ALLIGATION -- a very efficient way to handle mixture problems. Step 1: Plot the 3 percentages on a number line, with the percentages for A and B (15% and 50%) on the ends and the ...” April 7, 2019 GMATGuruNY posted a reply to A museum sold 30 tickets on Saturday. Some of the tickets so in the Data Sufficiency forum “Let G = the number of general tickets. Since a total of 30 tickets are sold, the number of special exhibit tickets = 30-G. Since general tickets =$10 each and special exhibit tickets = $70 each, we get: Total revenue = 10G + 70(30-G) = 10G + 2100 - 70G = 2100 - 60G. Statement 1: 1570 < ...” April 7, 2019 GMATGuruNY posted a reply to If 500 is the multiple of 100 that is closest to X and 400 in the Data Sufficiency forum “Statements combined: Case 1: X=460, with the result that 500 is the multiple of 100 closest to X Y=360, with the result that 400 is the multiple of 100 closest to Y In this case, X+Y=820, so the multiple of 100 closest to X+Y is 800. Case 2: X=490, with the result that 500 is the multiple of ...” April 7, 2019 GMATGuruNY posted a reply to One legacy of Madison Avenue's in the Sentence Correction forum “Generally, a when-clause refers to an action performed at a particular moment: When Mary entered the room, John smiled. Here, the usage of when implies that the action in blue happened at a particular moment. An as-clause refers to an action performed over an extended period of time: Adam sang ...” April 6, 2019 GMATGuruNY posted a reply to The 32 species that make up the dolphin family are closely r in the Sentence Correction forum “There is no reason to repeat which in the OA. Even if more than one verb is attributed to COMMA + WHICH, the usage of one which should suffice.” April 6, 2019 GMATGuruNY posted a reply to In a nationwide poll, N people were interviewed. If 1/4 in the Problem Solving forum “Let N=12. Number who answered yes to question 1 = (1/4)12 = 3. Number who also answered yes to question 2 = (1/3)3 = 1. Number who didn''t answer yes to both questions = 12-1 = 11. This is our target. Now we plug N=12 into the answers to see which yields our target of 11. Only E works: ...” April 6, 2019 April 6, 2019 GMATGuruNY posted a reply to Is x < 0? in the Data Sufficiency forum “Statement 1: x³ < -1 The cube of x will be negative only if x itself is negative. Thus, x < 0. SUFFICIENT. Statement 2: x³ + x < -1 x(x² + 1) < -1 Since the square of a value cannot be negative, x² ≥ 0, with the result that the factor in blue must be POSITIVE. ...” April 5, 2019 GMATGuruNY posted a reply to A pizza shop sold small pizzas for$4.5 in the Problem Solving forum
“The GMAT would list the answer choices in ascending or descending order, as follows: We can PLUG IN THE ANSWERS, which represent the number of small pizzas. The average cost per pizza = 5050/500 ≈ $10. Since the average cost ($10) is much closer to the price of a large pizza ($12.50) than ...” April 5, 2019 Jay@ManhattanReview posted a reply to If x is positive, what is the value of y ? in the Data Sufficiency forum “Let''s take each statement one by one. (1) 5x = 15 => x = 3. We don''t have any information about y. Insufficient. (2) xy + y = 18 => y(1 + x ) = 18 Many possible values of y, keeping x positive. Insufficient. (1) and (2) Plugging in x = 3 in y (1 + x ) = 18, we get y(1 ...” April 5, 2019 Jay@ManhattanReview posted a reply to A clothing store acquired an item at a cost of x dollars and in the Data Sufficiency forum “Percentage of gross profit = (Profit/cost)*100% = B Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: Manhattan GMAT | Free LSAT Practice Questions | LSAT Prep Courses Manchester | SAT Prep Courses Hong Kong | and many more... Schedule your free consultation ...” April 5, 2019 Jay@ManhattanReview posted a reply to A company uses 2 machines to fill an order for 3,360 bottle in the Problem Solving forum “Given that Machine A can produce 72 bottle caps every 24 minutes, and it can run for 4 hours, it will produce 72/24 * 60 * 4 = 720 caps in 4 hours and that Machine B can produce 48 bottle caps every 12 minutes, and it can run for 4 hours, it will produce 48/12 * 60 * 4 = 960 caps in 4 hours. ...” April 5, 2019 Jay@ManhattanReview posted a reply to A company uses 2 machines to fill an order for 3,360 bottle in the Problem Solving forum “Given that Machine A can produce 72 bottle caps every 24 minutes, and it can run for 4 hours, it will produce 72/24 * 60 * 4 = 720 caps in 4 hours and that Machine B can produce 48 bottle caps every 12 minutes, and it can run for 4 hours, it will produce 48/12 * 60 * 4 = 960 caps in 4 hours. ...” April 5, 2019 ceilidh.erickson posted a reply to GMAT Prep Practice Test Quant Questions #3 in the GMAT Math forum “Probability is always defined this way: probability = (# of desired outcomes)/(total possible # of outcomes) You correctly identified that there was only one pairing of terms that would give you a difference of squares: (x + y) and (x - y). However, you miscounted your total # of possible ...” April 4, 2019 ceilidh.erickson posted a reply to GMAT Prep Practice Test Quant Questions #2 in the GMAT Math forum “In DS, the GMAT often likes to mix up PROPORTIONS v. REAL NUMBERS. Generally speaking, a real number won''t help to answer a proportion question (unless you''re give more info). Here are more in a similar vein to try: ...” April 4, 2019 ceilidh.erickson posted a reply to GMAT Prep Practice Test Quant Questions #2 in the GMAT Math forum “We can TEST CASES to prove insufficiency in this problem. Warehouse W’s revenue from the sale of sofas was what percent greater this year than it was last year? Revenue from sales will equal (price of sofas)(quantity sold) --> R = (p)(q) To answer the question of the proportional ...” April 4, 2019 ceilidh.erickson posted a reply to GMAT Prep Practice Test Quant Questions in the GMAT Math forum “Since negative exponents indicate the reciprocal of base to the positive exponent, we can rewrite our exponents and bases: $$\left(\frac{1}{5}\right)^M=5^{-M}$$ $$\left(\frac{1}{4}\right)^{18}=4^{-18}=2^{-36}$$ ...” April 4, 2019 ceilidh.erickson posted a reply to The figure shows seven train stations and the distances, in in the Problem Solving forum “If the train traveled for 25 hrs at 50 mph, it traveled a total of 1250 miles: (Rate)(Time) = Distance. Let''s calculate the distance of each of the answer choices to town W. A. T --> V --> W = 600 + 750 = 1350 B. U --> V --> W = 500 + 750 = 1250 C. V --> W = 750 D. Y ...” April 4, 2019 ceilidh.erickson posted a reply to At a certain company, some of the employees have advanced in the Data Sufficiency forum “Overlapping Sets are a common question type on the GMAT, and the double-set matrix is often the easiest way to solve. For more on how to use the matrix, see: https://www.beatthegmat.com/of-the-800-sweaters-in-a-certain-store-150-are-red-how-t306943.html#828510 ...” April 4, 2019 ceilidh.erickson posted a reply to At a certain company, some of the employees have advanced in the Data Sufficiency forum “This is an OVERLAPPING SETS question. The easiest way to solve is by using a DOUBLE SET MATRIX: https://i.postimg.cc/1gW91b8Y/Screenshot-2019-04-04-13-42-19.png We can fill in what we know from the question stem: If 20 percent of all employees have one year or more of experience and no ...” April 4, 2019 ceilidh.erickson posted a reply to Ranked as one of the most important of Europe’s young in the Sentence Correction forum “Nota bene: there is a meaning difference between "more than any X" v. "more than any other X." For example: 1. Alaska is bigger than any US state. v. 2. Alaska is bigger than any other US state. The 2nd sentence is the correct one. "Any" implies that Alaska is ...” April 4, 2019 ceilidh.erickson posted a reply to Ranked as one of the most important of Europe’s young in the Sentence Correction forum “This question is testing COMPARISONS. We must make sure that we are comparing "apples to apples." Ranked as one of the most important of Europe’s young playwrights, Franz Xaver Kroetz has written forty plays; his works - translated into over thirty languages - are produced more often ...” April 4, 2019 Jay@ManhattanReview posted a reply to It takes Amy between 6 and 7 minutes to grill a steak, and in the Data Sufficiency forum “Let''s take each statement one by one. (1) Amy needs to grill four steaks for her party. => She will take 6*4 = 24 to 7*4 = 28 minutes to grill. However, we do not know what time her guests would arrive. Insufficient. (2) Amy''s guests will arrive in half an hour. We do not know how ...” April 4, 2019 Jay@ManhattanReview posted a reply to On the number line above, p, q, r, s, and t are five in the Data Sufficiency forum “Since p, q, r, s, and t are five consecutive even integers, the average (arithmetic mean) of these five integers would be r. we have q = p + 2; r = p + 4; s = p + 6; t = p + 8 So, we have to get the value of p +4. Let''s take each statement one by one. (1) q + s =24 p + 2 + p ...” April 4, 2019 Jay@ManhattanReview posted a reply to If x, y, and d are integers and d is odd, are both x and y in the Data Sufficiency forum “Given: x, y, and d are integers and d is odd We have to find out whether x, y, and d are integers and d is odd. Let''s take each statement one by one. 1) x + y is divisible by d. Case 1: Say x = 5, y = 1 and d =3 x + y = 5 + 1 = 6; we see that 6 is divisible 3, but neither x nor y is ...” April 4, 2019 Jay@ManhattanReview posted a reply to A mixture of "lean" ground beef (10% fat) and &quo in the Problem Solving forum “Say the quantity of "lean" ground beef = x units and the quantity of "super-lean" ground beef = y units; thus, we have to get the value of x : y. 10%x + 3%y = 8%*(x + y) 2%x = 5%y x/y = 5 : 2 The correct answer: A Hope this helps! -Jay _________________ ...” April 4, 2019 Jay@ManhattanReview posted a reply to The cost to park a car in a certain parking garage is$8.00 in the Problem Solving forum
“Total parking charges for 9 hours = 8 + 1.75*(9 – 2) = 8 + 1.75*7 = $20.25 Thus, average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours =$20.25/9 = $2.25 The correct answer: C Hope this helps! -Jay _________________ Manhattan Review LSAT Prep ...” April 4, 2019 Jay@ManhattanReview posted a reply to 1/2+(2/3*3/8)/4-9/16=? in the Problem Solving forum “We have $$\frac{1}{2}+\frac{\frac{2}{3}\cdot\frac{3}{8}}{4}-\frac{9}{16}$$ $$\frac{1}{2}+\frac{1}{16}-\frac{9}{16}$$ $$\frac{8}{16}+\frac{1}{16}-\frac{9}{16}$$ = 0 The correct answer: E Hope this helps! -Jay _________________ Manhattan Review SAT Prep Locations: Manhattan GMAT | ...” April 3, 2019 Jay@ManhattanReview posted a reply to If $$m$$ is the square of integer $$n$$ and $$m$$ is in the Problem Solving forum “Let''s factorize 98. 98 = 2*7^2. Since m is a perfect square, it must be divisible by even powers of prime factors 2 and 7. Thus, m must be divisible by 2^2*7^2 = 196; thus m must be divisible by all the factors of 196, i.e., 1, 2, 4, 7, 14, 28, 49, 98 and 196. The correct answer: C Hope this ...” April 3, 2019 Jay@ManhattanReview posted a reply to Of the 100 athletes at a soccer club, 40 play defense and 70 in the Problem Solving forum “Given that there are 100 athletes at a soccer club, and at least 20 of the athletes play neither midfield nor defense, we have less than 80 athletes who play either midfield or defense or both. Thus, 80 > 40 + 70 – both Thus, both > 30 Since the value of both cannot be greater than ...” April 3, 2019 Jay@ManhattanReview posted a reply to Of 200 people surveyed, 80 percent own a cellular phone and in the Problem Solving forum “Total number of people who own either phone or pager = Total number of people who own phone + Total number of people who own pager – Total number of people who own both phone and pager Taking percent values... 100% = 80% + 45% – Both Both = 25% Percent of those surveyed either do not ...” April 3, 2019 Jay@ManhattanReview posted a reply to The integer 6 is the product of two consecutive integers (6 in the Problem Solving forum “This question can better be solved through hit and trial. We see that 210 can be written as 2*3*5*7; though looking at this, we do not see that there is a possibility of finding 210 as the product of two consecutive integers and the product of three consecutive integers, upon a close look, we can ...” April 3, 2019 Jay@ManhattanReview posted a reply to At a certain high school, the junior class is twice the size in the Problem Solving forum “Say, the number of students in the senior class = S; thus, the number of students in the junior class = 2S; thus, the total number of students = S = 2S = 3S Number of seniors who study Japanese = S/3; Number of seniors who do not study Japanese = S – S/3 = 2S/3; Number of juniors who study ...” April 3, 2019 Jay@ManhattanReview posted a reply to A certain packing box contains books between 50 to 60. in the Data Sufficiency forum “Let''s take each statement one by one. (1) If the books are counted by three, there will be one book left over. The number of books can be 52, 55, or 58. No unique answer. (2) If the books are counted by six, there will be one book left over. The only number between 50 and 60 such that ...” April 3, 2019 Jay@ManhattanReview posted a reply to Linda put an amount of money into each of two new investment in the Data Sufficiency forum “Say, the annual interest rate of investment A = r and the annual interest rate of investment A = R; the amount of money invested in investment A =$A and the amount of money invested in investment B = $B Thus, we have R = 1.5r We have to get the value of A. Let''s take each statement one by ...” April 3, 2019 e-GMAT posted a reply to GMAT Quantitative: Question of the Week in the GMAT Math forum “Hello all, We have posted the Official Solution of the Question of the Week #1 and Question of the Week - 2 Happy learning. :) Regards,” April 3, 2019 e-GMAT posted a reply to Question of the Week - 2 (If x and y are non-zero integers ) in the Problem Solving forum “Solution Given: In this question, we are given that • The numbers x and y are non-zero integers. • Also, |x – 3| ≤ 2 and -1 ≤ y ≤ 8. To find: We need to determine • The least value of x/y lies in which of the given ranges. Approach and Working: For the non-zero integer ...” April 3, 2019 GMATGuruNY posted a reply to Fossils of feathered dinosaurs - GMAT prep Exam pack 1 in the Sentence Correction forum “A general truth is something that is true not just at a particular moment but is true IN GENERAL. Mary plays the saxophone. Here, the portion in blue expresses a general truth about Mary. To express a GENERAL TRUTH, we use the simple present tense. The SC above is intended to express a general ...” April 2, 2019 GMATGuruNY posted a reply to While making a non-stop trip, a bus averaged m mph for the in the Data Sufficiency forum “Distance traveled in the first 5 hours = 5m. Distance traveled in the remaining 4 hours = 4n. Average speed for the entire 9-hour trip = (5m + 4n)/9. To determine the average speed for the entire trip, we need to know the value of 5m+4n. Question stem, rephrased: What is the value of 5m+4n? ...” April 2, 2019 GMATGuruNY posted a reply to OG13 - Q20 in the Sentence Correction forum “The OA does not make a comparison. to double X = to increase X by 100% OA: Personal spending in the Julv-September quarter would more than double the...growth rate. Conveyed meaning: Personal spending in the July-September quarter would increase the growth rate by more than 100%.” April 2, 2019 GMATGuruNY posted a reply to OG12, Q18 in the Sentence Correction forum “OA: Plants are more efficient than fungi at acquiring carbon, in the form of carbon dioxide. Here, the modifier in green is an adverb in that it describes UNDER WHAT CIRCUMSTANCE the preceding blue action happens. Under what circumstance ARE plants MORE EFFICIENT at acquiring carbon? Under the ...” April 2, 2019 Jay@ManhattanReview posted a reply to Is x > 0? in the Data Sufficiency forum “Let''s take each statement one by one. (1) x^6 > x^7 => 1 > x; cancelling x^6 from both the sides. Since the exponent of x^6 is 6, an even number, the value of x^6 must be positive, irrespective of x is negative or positive, making us need not worry about the change in sign of the ...” April 2, 2019 Jay@ManhattanReview posted a reply to In the circle above, chords AC and BD intersect at point P. in the Data Sufficiency forum “Since AP and BD are two chords that intersect, we have AP*PC = BP*PD => PC/PD = BP/AP 5/3 = BP/AP BP = 5*AP/3 If we get the value of AP, we get the value of BP. Let''s take each statement one by one. (1) AP = 10. Sufficient. (2) Angle BPC measures 90 degrees. Certainly ...” April 2, 2019 Jay@ManhattanReview posted a reply to If x is an integer, is |x| > 1? in the Data Sufficiency forum “Let''s understand |x| > 1. For |x| > 1 to be true, x can be any integer other than –1, 0 and 1. So, the question is whether x is one among –1, 0 and 1. Let''s take each statement one by one. (1) (1 - 2x)(1 + x) < 0 Case 1: Say x = 1 At x = 1, we have (1 - 2x)(1 + x) < ...” April 2, 2019 Jay@ManhattanReview posted a reply to For what percent of those tested for a certain infection was in the Data Sufficiency forum “Pl. refer to the image below. https://i.postimg.cc/McxrjVb7/Accurate.png The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: Manhattan GMAT | GMAT Prep Courses Riyadh | LSAT Prep Courses Orlando | Manhattan Prep SAT Courses | and many ...” April 2, 2019 GMATGuruNY posted a reply to Barry walks from one end to the other of a 30-meter long in the Problem Solving forum “Let B = Barry''s rate and W = the walkway''s rate. The distance can be ANY VALUE. Let the distance = 240 meters. WITH the walkway, the time = 30 seconds: Here, Barry and the walkway WORK TOGETHER, so we ADD their rates: B+W = d/t = 240/30 = 8 meters per second. AGAINST the walkway, the ...” April 1, 2019 GMATGuruNY posted a reply to 2+2+2^2+2^3+2^4+2^5+2^6+2^7+2^8=? in the Problem Solving forum “2⁸ = 256 2⁷ = 128 Thus: 2⁸ + 2⁷ + 2⁶ + 2⁵ + 2⁴ + 2³ + 2² + 2 + 2 = 256 + 128 + (around 100) ≈ 500. Only A is viable: 2⁹ = 512. The correct answer is A.” April 1, 2019 Jay@ManhattanReview posted a reply to The largest bonus that Felix can receive this year is equal in the Data Sufficiency forum “Say Felix''s annual salary is$I. Thus, The largest bonus = 20% of I = I/5; The Smallest bonus = 30% of I/5 = 3I/50 We have to get the value of I. Let''s take each statement one by one. 1. The smallest possible bonus that Felix can receive this year is $4800.00. => 3I/50 = ...” April 1, 2019 Jay@ManhattanReview posted a reply to Mike bought a computer system for$4,000 and later sold it. in the Data Sufficiency forum
“We have cost price = $4,000. We have to get the value of Selling price. Let''s take each statement one by one. 1) Mike sold the computer system for 60% of the price he paid for it. => Selling price = 60% of 4,000 =$2,400. Sufficient. 2) Mike advertised the computer system in a ...”
April 1, 2019
Jay@ManhattanReview posted a reply to In the figure shown, triangle ABC is inscribed in the circle in the Data Sufficiency forum
“Let''s take each statement one by one. (1) AB is a diameter of the circle. We do not know the measure of AB, thus, we can''t get the value of circumference of the circle. Insufficient. (2) The ratio of the lengths of BC, AC, and AB, respectively, is 3 : 4 : 5. Certainly insufficient. ...”
April 1, 2019
e-GMAT posted a new topic called Question of the Week - 2 (If x and y are non-zero integers ) in the Problem Solving forum
“If x and y are non-zero integers and |x – 3| ≤ 2 and -1 ≤ y ≤ 8 then the least value of x/y lies in which of the following range? A. Between -5.5 and -4.5 B. Between -4.5 and -3.5 C. Between -3.5 and -2.5 D. Between -2.5 and -1 E. Greater than -1”
March 30, 2019
e-GMAT posted a reply to e-GMAT Question of the Week #1 in the Problem Solving forum
“Solution Given: The number n is the product of the first 49 natural numbers The numbers $$\frac{n}{24^p}$$ and $$\frac{n}{36^q}$$ are integers To find: The maximum possible value of p + q Approach and Working: When it is given that $$\frac{n}{24^p}$$ is an integer, it necessarily means p ...”
March 30, 2019
GMATGuruNY posted a reply to Cars emerging from a motorway arrive at a junction that in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the number of cars in the left lane. Answer choice C: 1700 If 700 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane ...”
March 30, 2019
GMATGuruNY posted a reply to A 3-character alpha-numeric code does have the following in the Problem Solving forum
“Number of options for the first character = 8. (Of the 10 digits, any digit but 0 or 9.) Number of options for the second character = 24. (Of the 26 letters in the alphabet, any but a or z.) Number of options for the third character = (number of options for the first character) + (number of ...”
March 29, 2019
GMATGuruNY posted a reply to The ratio of boys to girls in Class A is 3 to 4. The ratio in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the number of girls in Class A. Since b:g = 3:4, the number of girls must be a multiple of 4. Eliminate B, C and D. Answer choice A: g = 8. Since b:g = 3:4 = 6:8, b=6. Since Class A has one more boy and two more girls than Class B, in Class B, ...”
March 29, 2019
Jay@ManhattanReview posted a reply to If √k is not an integer, then is k a prime number? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) k < 10 Case 1: Say k = 8, not prime We have √k = √8 = not an integer Case 2: Say k = 7, prime We have √k = √7 = not an integer No unique answer. Insufficient. (2) k < 5 Case 1: Say k = 4,5, not prime (note that it is ...”
March 29, 2019
Jay@ManhattanReview posted a reply to Alice bought a certain number of 30 cent stamps, 35 cent in the Data Sufficiency forum
“Let the number of 30 cent stamps, 35 cent stamps and 40 cent stamps be x, y and z, respectively. Thus, we have 30x + 35y + 40z = 420 6x + 7y + 8z = 84 We have to determine where at least one of x, y and z is greater than 5. Let''s take each statement one by one. (1) The number of 35 ...”
March 29, 2019
Jay@ManhattanReview posted a reply to If $$n$$ is a positive integer and $$r$$ is the remainder in the Data Sufficiency forum
“Let''s take each statement one by one. 1) $$n$$ is not divisible by $$2$$. Case 1: Say n = 1 $$(n-1)(n+1)$$ = 0. We see that 0 divided by 24 leaves a remainder 0. Thus, r = 0. Case 1: Say n = 3 $$(n-1)(n+1)$$ = 2*4 = 8. We see that 8 divided by 24 leaves a remainder 8. Thus, r = 8. ...”
March 29, 2019
Jay@ManhattanReview posted a reply to Seventy percent of the 800 students in School T are male. At in the Problem Solving forum
“Number of male students = 70% of 800 = 560; Thus, the number of female students = 30% of 800 = 240; Minimum number of female students who participate in a sport = 10% of 240 = 24; Thus, the maximum number of female students who do not participate in a sport = 240 – 24 = 216; Maximum number ...”
March 29, 2019
Jay@ManhattanReview posted a reply to In 1982 and 1983, Company B's operating expenses were $12.0 in the Problem Solving forum “Company B’s profit in 1982 = 15.6 – 12 =$3.6 M; Company B’s profit in 1983 = 18.8 – 14 = $4.8 M Percent increase in Company B’s profit from 1982 to 1983 = D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan GMAT Classes | GMAT Prep ...” March 29, 2019 Jay@ManhattanReview posted a reply to Two fair die with sides numbered 1 to 6 are tossed. What is in the Problem Solving forum “With two dies, we have 6*6 = 36 ways of getting a sum of 2 to 12. The prime numbers between 2 to 12 are 2, 3, 5, 7, and 11. Number of ways of getting the sum, a prime number, is listed as (1) Sum = 2: Ways: (1, 1): Total number of ways = 1; (2) Sum = 3: Ways: (1, 2); (2, 1): Total number of ...” March 29, 2019 GMATGuruNY posted a reply to 100 students appeared for two tests-Maths and English. For in the Data Sufficiency forum “100 = Only Math + Only English + Both + Neither For every student who passed in both the tests, 8 students passed only in Maths and 9 students passed only in English. Let B = both, implying that Only Math = 8B and that Only English = 9B. Thus: 100 = 8B + 9B + B + Neither 100 = 18B + Neither ...” March 28, 2019 GMATGuruNY posted a reply to An optometrist charges$150 per pair for soft contact lenses in the Problem Solving forum
“Since $150 soft lenses and$85 hard lenses yield $1690 in revenue, we get: 150S + 85H = 1690 30S + 17H = 238 The sum on the left side must yield a units digit of 8. Since 17*4 = 68, it is likely that H=4: 30S + 17*4 = 338 30S + 68 = 238 30S = 170 S=9 S=9 and H=4 satisfy the condition ...” March 28, 2019 Marty Murray posted a reply to Help me Beat the GMAT in the I just Beat The GMAT! forum “Hi melisaaslan. Many people score lower on the verbal section of the real test than they had on practice tests, and, much of the time, the reason for the difference is that they didn''t really learn how to use sophisticated thinking in answering verbal questions. Rather they picked up on some ...” March 28, 2019 Marty Murray posted a reply to GMAT Experience - Looking for advice in the I just Beat The GMAT! forum “Hi mikellaverde. Your other practice test scores and the way you have been preparing tend to indicate that the 710 practice test score was an outlier. The GMAT tends not to be very forgiving, and so, matching an outlier practice test score is not likely when you take the real test. At the ...” March 28, 2019 GMATGuruNY posted a reply to OG-12 SC Q-43 Laos has a land area in the Sentence Correction forum “D: Laos has a land area comparable to the size of Great Britain, but only four million in population, and many are members of hill tribes ensconced in the virtually inaccessible mountain valleys of the north. Error 1: The intent here is to compare the LAND AREA of Laos to the LAND AREA of Great ...” March 28, 2019 GMATGuruNY posted a reply to Which of the following is the solution set for the inequalit in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the range of x. A: -1 < x < 0 Plugging x=-0.5 into the given inequality, we get: 0 < |-0.5| - 2(-0.5) < 3 0 < 0.5 + 1 < 3 0 < 1.5 > 3 Since x=-0.5 is a valid solution, the correct answer must include x=-0.5 within its ...” March 28, 2019 Jay@ManhattanReview posted a reply to Function in the Problem Solving forum “Hello rawat2583, What''s the source of the question. It does not seem to be a GMAT question. Pl. post GMAT questions from genuine sources. :) -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Manhattan | GMAT Prep Courses New Delhi | LSAT Prep Courses Hong Kong | ...” March 28, 2019 GMATGuruNY posted a reply to A straight highway connects two cities P and Q, and goes via in the Data Sufficiency forum “Statement 1: For every 2 hours spent at 30 mph and 1 hour spent at 50 mph, 3 hours are spent at 60 mph. Average speed per 6 hours = (2*30 + 1*50 + 3*60)/6 = 290/6. SUFFICIENT. Statement 2: Case 1: NQ = 180 miles, PM = 60 miles and MN = 50 miles Since NQ is traveled at 60 mph, the time for ...” March 27, 2019 Jay@ManhattanReview posted a reply to A certain portfolio consisted of 5 stocks, priced at$20, $3 in the Problem Solving forum “The price of five stocks before change =$(20 + 35 + 40 + 45 + 70) = $210; The change in the price of five stocks = ~$210*2% = ~$4.2 So, we have to find the two options such that when the price of one of them increases by 15% and the price of the other decreases by 35%, the net result should be ...” March 27, 2019 Jay@ManhattanReview posted a reply to A straight highway connects two cities P and Q, and goes via in the Data Sufficiency forum “See the diagram depicting the highway. P -------30 mph---------M -------50 mph--------- N --------60 mph---------- Q Let''s take each statement one by one. Statement 1: The ratio of time the bus took to cover the distances PM, MN, and NQ respectively is 2:1:3. Say, the time the bus took ...” March 27, 2019 Jay@ManhattanReview posted a reply to When 1,000 children were inoculated with a certain vaccine, in the Data Sufficiency forum “Let''s take each statement one by one. Say, I = Number of children that developed inflammation but not fever; F = Number of children that developed fever but not inflammation; B = Number of children that developed both fever and inflammation N = Number of children that developed neither ...” March 27, 2019 GMATGuruNY posted a reply to Geometry in the Problem Solving forum “https://i.postimg.cc/N2Ky6DSp/square-divided-into-triangles.png Each triangle in the figure above is an isosceles right triangle with sides 1, 1 and √2. Shaded region = 4 triangles. Largest square = 16 triangles. Thus: (shaded region)/(largest square) = 4/16 = 1/4. The correct answer is ...” March 27, 2019 GMATGuruNY posted a reply to A music festival took place over two days, Saturday and in the Data Sufficiency forum “Anyone who attended the festival must have attended only Saturday, only Sunday, or both days. Let the total number of attendees = 100. Statement 1: 40% of attendees attended both days. No way to determine how many attendees attended only Saturday. INSUFFICIENT. Statement 2: 70% of attendees ...” March 26, 2019 GMATGuruNY posted a reply to Boat World sells a certain boat and a certain trailer. What in the Data Sufficiency forum “Let b = boat and t = trailer. What is the value of t? Statement 1: b = 7500+t No way to solve for t. INSUFFICIENT. Statement 2: b+t = 15000 No way to solve for t. INSUFFICIENT. Statements combined: Since we have two variables (b and t) and two distinct linear equations (b=7500+t and ...” March 26, 2019 GMATGuruNY posted a reply to p, q, and r are different prime numbers. What is the value o in the Data Sufficiency forum “Statement 1: (pq)² = 36 pq = 6 Case 1: p=2 and q=3 Case 2: p=3 and q=2 Since q can be different values, INSUFFICIENT. Statement 2: (qr)² = 225 qr = 15 Case 1: q=3 and r=5 Case 2: q=5 and r=3 Since q can be different values, INSUFFICIENT. Statements combined: Only one case ...” March 26, 2019 GMATGuruNY posted a reply to √r + 2/√r = 4. What is the value of r + 4/r? in the Problem Solving forum “(a+b)² = a² + b² + 2ab √r + 2/√r = 4 (√r + 2/√r)² = 4² (√r)² + (2/√r)² + 2(√r)(2/√r) = 16 r + 4/r + 4 = 16 r + 4/r = 12 The correct answer is A.” March 26, 2019 Jay@ManhattanReview posted a reply to The figure shown is a regular hexagon with center h. in the Problem Solving forum “Since it is given that the hexagon is a regular hexagon, the unshaded region can be divided into 4 equal equilateral triangles. Area of an equilateral triangle = √3/4a^2; where a = side of the equilateral triangle => Area of the unshaded region = Area of 4 equilateral triangles = ...” March 26, 2019 GMATGuruNY posted a reply to How many trailing zeroes would be found in 63! upon in the Problem Solving forum “TRAILING 0''s = the number of 0''s at the end of a large product. 63! = 63*62*61*....*3*2*1. Since 10=2*5, EVERY COMBINATION OF 2*5 contained within the prime-factorization of 63! will yield a 0 at the end of the integer representation of 63!. The prime-factorization of 63! includes FAR ...” March 25, 2019 Jay@ManhattanReview posted a reply to W, X, Y, and Z represent distinct digits such that WX*YZ= in the Data Sufficiency forum “Given: 1. $$W, X, Y$$, and $$Z$$ represent distinct digits 2. $$WX*YZ=1995$$. We have to get the value of W. Since the units digit of 1995 is 5, the units digit of the product of X*Z must also be 5; thus, there are three possibilities: 1. X = 1 and Z = 5; 2. X = 5 and Z = 1; 3. X = 5 and ...” March 25, 2019 GMATGuruNY posted a reply to A certain NYC taxi driver has decided to start charging a in the Problem Solving forum “Let r=100 cents. For 3 people, the cost per mile = 3*100 = 300 cents = 3 dollars. Let x = 2 miles. Regular cost for 3 people to travel 2 miles = 3*2 = 6 dollars. With a 50% discount, the cost in dollars = 3. This is our target. Now we plug x=2 and r=100 into the answers to see which ...” March 25, 2019 GMATGuruNY posted a reply to 60% of all students in a class commute by public in the Problem Solving forum “Use a DOUBLE-MATRIX to organize the data. Let P = public transportation, NP = not public transportation, S = science, NS = not science. 60% of all students in a class commute by public transportation. 30% of the students aspire to be scientists. The following matrix is yielded: ...” March 25, 2019 Jay@ManhattanReview posted a reply to Jack and Mark both received hourly wage increases of 6%. in the Data Sufficiency forum “Say Mark''s wages before the increase = M and Jack''s wages before the increase = J; Thus, after the increases, Mark''s wages before the increase = 1.06M; Jack''s wages before the increase = 1.06J Thus, Jack''s hourly wage was 1.06(J – M) dollars per hour more than Mark''s. We have to ...” March 25, 2019 Jay@ManhattanReview posted a reply to A positive integer n has the smallest 3 prime numbers as its in the Data Sufficiency forum “The smallest 3 prime numbers are 2, 3 and 5. Say n = 2^a * 3^b * 5^c, where a, b and c are positive integers The number of factors of n are (a + 1) * (b + 1) * (c + 1). We have to get the value of (a + 1) * (b + 1) * (c + 1). Let''s take each statement one by one. 1) The total number ...” March 25, 2019 GMATGuruNY posted a reply to GPREP SC-8 in the Sentence Correction forum “Proposed revision: The sandpipers...are a result of residential and industrial development. This meaning is nonsensical. BIRDS cannot be a RESULT. This line of reasoning is valid: In D and E, the referent for in the northeastern United States is unclear.” March 24, 2019 GMATGuruNY posted a reply to If P and Q are positive integers, and if P > 1, does P = in the Data Sufficiency forum “Statement 1: Case 1: P=2 and Q=2, with the result that P divides evenly into Q In this case, P=Q, so the answer to the question stem is YES. Case 2: P=2 and Q=4, with the result that P divides evenly into Q In this case, P≠Q, so the answer to the question stem is NO. INSUFFICIENT. ...” March 24, 2019 GMATGuruNY posted a reply to Is it true that x > 0? in the Data Sufficiency forum “Statement 1: Case 1: x=0 In this case, the answer to the question stem is NO. Case 2: x≠0, allowing us to divide both sides by x x²/x = 2x/x x = 2 In this case, the answer to the question stem is YES. INSUFFICIENT. Statement 2: Case 1: x=0 In this case, the answer to the question ...” March 24, 2019 GMATGuruNY posted a reply to Events A and B are independent and have equal probabilities in the Data Sufficiency forum “Statement 1: P(at least one event occurs) = 1 - P(neither event occurs) Thus: P(at least A or B) = 1 - P(neither A nor B) Since P(at least A or B) = 0.84, we get: 0.84 = 1 - P(neither A nor B) P(neither A nor B) = 0.16 P(not A) * P(not B) = 0.16. Since it is given that P(A) = P(B), P(not ...” March 23, 2019 GMATGuruNY posted a reply to In the given figure, if AS = 10 cm, SN = 5 cm and TN = 8 cm, in the Problem Solving forum “Third-side rule: The third side a triangle must be LESS THAN THE SUM OF and GREATER THAN THE DIFFERENCE OF the other two sides. Here, all the sides must be INTEGER values. In triangle ANS, AS=10 and NS=5. Thus, third side AN must be an integer value less than 10+5 = 15 and greater than 10-5 = ...” March 23, 2019 ceilidh.erickson posted a reply to If a car traveled from Townsend to Smallville at an average in the Data Sufficiency forum “Average speed is a WEIGHTED average: (total distance)/(total time). Since we''re given that this is a round trip, the distance of each leg of the trip will be the same. Since we know the average speed for one leg of the trip, all we need to know to calculate the overall average speed is the ...” March 22, 2019 ceilidh.erickson posted a reply to Of the 800 sweaters in a certain store, 150 are red. How in the Data Sufficiency forum “Overlapping Sets are a common question type on the GMAT, and the double-set matrix is often the easiest way to solve. For more on how to use the matrix, see: https://www.beatthegmat.com/at-a-charity-fundraiser-180-of-the-guests-had-a-house-both-t307024.html#828495 ...” March 22, 2019 ceilidh.erickson posted a reply to Of the 800 sweaters in a certain store, 150 are red. How in the Data Sufficiency forum “We can represent this problem as an OVERLAPPING SETS problem: red v. not red, wool v. not wool: https://i.postimg.cc/CBMcFwJt/Screenshot-2019-03-22-15-56-23.png Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool? We can also ...” March 22, 2019 ceilidh.erickson posted a reply to Mauritius was a British colony for almost 200 years, in the Sentence Correction forum “In this sentence, we have 2 independent clauses in the non-underlined portions: 1. "Mauritius was a British colony" 2. "the English language was never really spoken" In the original sentence, these clauses are joined only with a comma. This is what we call a comma splice or ...” March 22, 2019 ceilidh.erickson posted a reply to Hunter: Many people blame hunters alone for the decline in in the Critical Reasoning forum “The main thrust of this hunter''s argument is that black bears have also played an important role in the decline of the deer population. The evidence given for this argument: - the forest''s protected black bear population has risen sharply - examination of black bears found dead in the forest ...” March 22, 2019 ceilidh.erickson posted a reply to Wind farms, which generate electricity using arrays of in the Critical Reasoning forum “The logical flaw in this argument falls under the category of what I like to call MIXED METRICS: it seems like the premises and conclusion are talking about the same statistic, but in fact we''re looking at different mathematical or categorical ideas. Any time you see one statistic / metric / ...” March 22, 2019 ceilidh.erickson posted a reply to Wind farms, which generate electricity using arrays of in the Critical Reasoning forum “When WEAKENING an argument, you must first find the LOGICAL FLAW: the missing assumption that would be needed to connect premises to conclusion. Premises: - Wind farms require vast expanses of open land. - County X and County Y have similar terrain - the population density of County X is ...” March 22, 2019 ceilidh.erickson posted a reply to At a charity fundraiser, 180 of the guests had a house both in the Data Sufficiency forum “Overlapping Sets are a common question type on the GMAT, and the double-set matrix is often the easiest way to solve. For more on how to use the matrix, see: https://www.beatthegmat.com/among-the-members-of-the-malmo-family-there-are-three-times-t306786.html#827756 ...” March 22, 2019 ceilidh.erickson posted a reply to At a charity fundraiser, 180 of the guests had a house both in the Data Sufficiency forum “This is a classic OVERLAPPING SETS problem. It is usually best to set these up with a DOUBLE-SET MATRIX: https://i.postimg.cc/XpkxyS5g/Screenshot-2019-03-22-14-31-06.png From the question stem, we know that 180 guests have houses in both locations, and we''re looking for the ratio of the two ...” March 22, 2019 GMATGuruNY posted a reply to Express 2^20-2^19-2^18-2^17 as a power of 2. in the Problem Solving forum “Test an analogous case with easier values: 2⁴ - 2³ - 2² - 2¹ = 16 - 8 - 4 - 2 = 2¹ The matching blue portions imply the following: 2²⁰ - 2¹⁹ - 2¹⁸ - 2¹⁷ = 2¹⁷ The correct answer is C.” March 22, 2019 GMATGuruNY posted a reply to If (r+1/r)^2 = 5, what is the value of (r^3+1/r^3)^2? in the Problem Solving forum “(r + 1/r)² = 5 r + 1/r = √5 (r + 1/r)² = 5 r² + 1/r² + 2(r)(1/r) = 5 r² + 1/r² + 2 = 5 r² + 1/r² = 3 Multiplying the blue equation and the red equation, we get: (r² + 1/r²)(r + 1/r) = 3√5 r³ + (r²)(1/r) + (1/r²)(r) + 1/r³ = 3√5 r³ + (r + 1/r) + 1/r³ = 3√5 ...” March 21, 2019 GMATGuruNY posted a reply to A dessert recipe calls for 50% melted chocolate and 50% in the Problem Solving forum “Chocolate percentage in the incorrect sauce: 40%. Chocolate percentage in the pure chocolate: 100%. Chocolate percentage in the mixture: 50%. Let I = the incorrect sauce and C = the pure chocolate. The following approach is called ALLIGATION -- a very efficient way to handle MIXTURE PROBLEMS. ...” March 21, 2019 GMATGuruNY posted a reply to Skier Lindsey Vonn completes a straight 300-meter downhill in the Problem Solving forum “Downhill speed - uphill speed = (x+10) - (x-8) = 18. Implication: The downhill speed is 18 mps greater than the uphill speed. We can PLUG IN THE ANSWERS, which represent the downhill speed. Since the downhill speed is 18 mps greater than the uphill speed, the correct answer must be GREATER ...” March 21, 2019 GMATGuruNY posted a reply to Jeremiah invests his savings of$120,000 by dividing it in the Problem Solving forum
“On the GMAT, compounded interest is typically just a bit more than simple interest. Since the answer choices are all greater than 2% -- the percentage given in the prompt -- they must represent the HIGHER interest rate, with 2% representing the LOWER interest rate. Lower rate: Since 3/4 of ...”
March 21, 2019
GMATGuruNY posted a reply to If m and n are positive integers, is m+n divisible by 15? in the Data Sufficiency forum
“Rule: MULTIPLE OF X + MULTIPLE OF X = MULTIPLE OF X MULTIPLE OF X + NON-MULTIPLE OF X = NON-MULTIPLE OF X 225 = 9*25 Statements combined: Case 1: m=9 and n=25*15, with the result that m is a multiple of 9, n is a multiple of 15, and mn = 9*25*15 = 225*15 = multiple of 225 In this case, m+n ...”
March 21, 2019
GMATGuruNY posted a reply to What is the smallest positive integer n such that n / 420 ca in the Problem Solving forum
“A fraction will yield a terminating decimal if the prime-factorization of its denominator contains only 2''s and/or 5''s. n/420 = n/(2*2*3*5*7). For a terminating decimal to be yielded, the prime factors in red must CANCEL OUT with n, leaving only 2''s and 5''s in the denominator. Thus, the ...”
March 21, 2019
GMATGuruNY posted a reply to The consultant explained that companies in the Sentence Correction forum
“Generally, a one-word adverb such as tirelessly will not be positioned between a verb and its direct object. Incorrect: Companies lobby tirelessly government officials. Here, tirelessly (adverb) is awkwardly positioned between lobby (verb) and government officials (direct object). Correct: ...”
March 20, 2019