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Math Expert
Joined: 02 Sep 2009
Posts: 59561
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100 Hardest and easiest questions for PS
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 Updated on: 01 Dec 2019, 05:45
100 Hardest Problem Solving Questions (Nov 1st, 2019 - Dec 1st, 2019) Are you familiar with the GMAT Club's timer?We have pulled timer results from our database and analyzed every question in the forum. Based on those results, we have compiled a list of the hardest questions in each of the question forums we have. Below I am presenting to you the top 100 questions from PS forum. | Problem Solving (PS) | | Rank | Title | Topics | | 1 | In the figure, point D divides side BC of triangle ABC into segments | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 2 | During the month of April, the average temperatures on day n | Difficulty: 700-Level, Absolute Values/Modulus, Arithmetic, Coordinate Geometry, Inequalities, Must or Could be True Questions, Sequences, Word Problems | | 3 | If two integers are chosen at random out of the set {2, 5, 7, 8}, what | Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT | | 4 | An isosceles triangle with one angle of 120° is inscribed in | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 5 | If the product of all the unique positive divisors of n, a positive in | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT | | 6 | The sum of four consecutive odd numbers is equal to the sum | Difficulty: 700-Level, Sequences | | 7 | A list of numbers has six positive integers. Three of those integers a | Difficulty: 700-Level, Statistics and Sets Problems, Source: Veritas Prep | | 8 | Arrow AB which is a line segment exactly 5 units along with | Difficulty: 700-Level, Coordinate Geometry, Source: Manhattan GMAT | | 9 | In the x-y plane, point (p, q) is a lattice point if both p | Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Magoosh | | 10 | Daniel is playing a dice game in which a dice is rolled 5 times | Difficulty: 700-Level, Probability, Source: Other - Please specify | | 11 | There are 500 cars on a sales lot, all of which have either two doors | Difficulty: 700-Level, Number Properties, Overlapping Sets, Percents and Interest Problems, Source: Magoosh | | 12 | Let a “2-placer” be a terminating decimal, between 0 and 1, for which | Difficulty: 700-Level, Combinations, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT | | 13 | A bus from city M is traveling to city N at a constant speed | Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Club Tests | | 14 | The function g(x) is defined for integers x such that if x | Difficulty: 700-Level, Algebra, Functions and Custom Characters | | 15 | A box contains three pairs of blue gloves and two pairs of | Difficulty: 700-Level, Probability, Source: GMAT Club Tests | | 16 | How many integral values of k are possible, if the lines 3x+ | Difficulty: 700-Level, Coordinate Geometry | | 17 | Twenty meters of wire is available to fence off a flower bed in the | Difficulty: 700-Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor | | 18 | If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest | Difficulty: 700-Level, Algebra, Divisibility/Multiples/Factors, Number Properties | | 19 | An integer between 1 and 300, inclusive, is chosen at random | Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT | | 20 | If [3(ab)^3 + 9(ab)^2 – 54ab] / [(a-1)(a + 2)] = 0, and a and b are bo | Difficulty: 700-Level, Algebra, Must or Could be True Questions | | 21 | A bag contains 3 red and 2 black ball. Another bag contains 4 red and | Difficulty: 700-Level, Probability | | 22 | How many even 3 digit integers greater than 700 with distinct non zero | Difficulty: 700-Level, Combinations | | 23 | On a partly cloudy day, Derek decides to walk back from work | Difficulty: 700-Level, Distance/Rate Problems, Source: Veritas Prep | | 24 | If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte | Difficulty: 700-Level, Absolute Values/Modulus, Algebra, Min/Max Problems, Source: Manhattan GMAT | | 25 | A botanist selects n^2 trees on an island and studies (2n + | Difficulty: 700-Level, Remainders, Source: Princeton Review | | 26 | The figure above shows gas mileage at different speeds for all compact | Difficulty: 700-Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other - Please specify | | 27 | In a certain mathematical activity, we have five cards with five diffe | Difficulty: 700-Level, Combinations, Source: Magoosh | | 28 | How many 2-inch by 3-inch rectangular tiles are required to tile this | Difficulty: 700-Level, Geometry, Source: Other - Please specify | | 29 | What is the probability of getting a sum of 8 or 14 when | Difficulty: 700-Level, Probability | | 30 | If a circle passes through points (9,2*sqrt(3)) | Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Other - Please specify | | 31 | A sequence of numbers (geometric sequence) is given by the | Difficulty: 700-Level, Absolute Values/Modulus, Exponents/Powers, Sequences, Source: Grockit | | 32 | If the probability of rain on any given day is 50%, what is the probab | Difficulty: 700-Level, Probability, Source: Veritas Prep | | 33 | How many 4-digit numbers can be formed by using the digits 0 | Difficulty: 700-Level, Combinations | | 34 | How many numbers that are not divisible by 6 divide evenly | Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT | | 35 | If x and y are integers and 2x + 9y = 57, then the least possible valu | Difficulty: 700-Level, Algebra, Source: Veritas Prep | | 36 | In a certain sequence, each term beyond the second term is equal to th | Difficulty: 700-Level, Sequences, Source: Other - Please specify | | 37 | On the number line shown, the distance between 0 and a . . . | Difficulty: 700-Level, Absolute Values/Modulus, Algebra, Source: e-GMAT | | 38 | A customer using a certain telephone calling plan pays a fee | Difficulty: 700-Level, Word Problems, Source: Kaplan | | 39 | In a certain sequence, every term after the first is determi | Difficulty: 700-Level, Sequences, Source: Manhattan GMAT | | 40 | For positive integers k and n, the k-power remainder of n is defined | Difficulty: 700-Level, Min/Max Problems, Number Properties, Remainders, Source: Manhattan GMAT | | 41 | A cylindrical tank of radius R and height H must be redesign | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 42 | How many different pairs of integers (a, b) exist such that 2 <= a <= | Difficulty: 700-Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT | | 43 | The elevator in an eleven-story office building travels at | Difficulty: 700-Level, Distance/Rate Problems | | 44 | Darcy, Gina, Ray and Susan will be the only participants at a meeting. | Difficulty: 700-Level, Probability, Source: Kaplan | | 45 | A sheet of paper ABDE is a 12-by-18-inch rectangle, as shown in Figure | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 46 | A terrible disease sweeps around the world, luckily only affecting 1 | Difficulty: 700-Level, Probability, Source: Other - Please specify | | 47 | Ms. Barton has four children. You are told correctly that she has at | Difficulty: 700-Level, Probability, Source: Manhattan GMAT | | 48 | In an investigation, it was found that 20% of the employees who are vu | Difficulty: 700-Level, Overlapping Sets, Percents and Interest Problems, Source: Other - Please specify | | 49 | How many values can the integer p=|x+3|-|x-3| assume? | Difficulty: 700-Level, Absolute Values/Modulus | | 50 | Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa | Difficulty: 700-Level, Work/Rate Problems | | 51 | How many different combinations of outcomes can you make by | Difficulty: 700-Level, Combinations | | 52 | We define f(n) as the highest non-negative integer power of 7 that | Difficulty: 700-Level, Divisibility/Multiples/Factors, Exponents/Powers, Functions and Custom Characters | | 53 | List T consist of 30 positive decimals, none of which is an integer | Difficulty: 700-Level, Min/Max Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015 | | 54 | A big cube is formed by rearranging the 160 coloured and 56 | Difficulty: 700-Level, Geometry, Percents and Interest Problems | | 55 | If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of th | Difficulty: 700-Level, Algebra, Source: Math Revolution | | 56 | Louie takes out a three-month loan of $1000. The lender | Difficulty: 700-Level, Percents and Interest Problems, Source: Magoosh | | 57 | Of the three-digit integers greater than 660, how many have | Difficulty: 700-Level, Combinations | | 58 | Points A and B are 120 km apart. A motorcyclist starts from | Difficulty: 700-Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT | | 59 | A set of five positive integers has an arithmetic mean of 150. A parti | Difficulty: 700-Level, Number Properties, Statistics and Sets Problems, Source: Veritas Prep | | 60 | What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x | Difficulty: 700-Level, Exponents/Powers, Source: GMATPrepNow | | 61 | In a hostel there are 250 students, 120 watch Fox News, 80 watch Sky S | Difficulty: 700-Level, Overlapping Sets, Source: Jamboree | | 62 | Set S consists of numbers 2, 3, 6, 48, and 164. Number K is | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Probability | | 63 | The random variable x has the following continuous probability distrib | Difficulty: 700-Level, Coordinate Geometry, Probability, Source: Manhattan GMAT | | 64 | In the diagram, points A, B, and C are on the diameter of | Difficulty: 700-Level, Geometry, Source: Kaplan | | 65 | How many integers less than 100 have exactly 4 odd factors b | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties | | 66 | The ratio of a to b is twice the ratio of b to c. If a, b, and c are | Difficulty: 700-Level, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT | | 67 | In a survey,it was found that 10% of the students who are susceptible | Difficulty: 700-Level, Overlapping Sets, Source: Other - Please specify | | 68 | A bag contains 10 bulbs and 5 torches, out of which 3 bu | Difficulty: 700-Level, Probability, Source: e-GMAT | | 69 | Brian is analyzing the performance of certain stocks. He finds that | Difficulty: 700-Level, Statistics and Sets Problems, Word Problems, Source: Princeton Review | | 70 | If 20% of certain quantity of work is done by A and the rest by B, | Difficulty: 700-Level, Work/Rate Problems, Source: Other - Please specify | | 71 | Last year Isabella took 7 math tests and received 7 different scores, | Difficulty: 700-Level, Arithmetic, Number Properties, Source: Other - Please specify | | 72 | The average score in an examination of 10 students of a class is 60 | Difficulty: 700-Level, Min/Max Problems, Statistics and Sets Problems, Word Problems, Source: Other - Please specify | | 73 | If a cube of dimension 4 by 4 by 4 is cut into 1 by 1 by 1 after pain | Difficulty: 700-Level, Geometry, Source: Other - Please specify | | 74 | A railroad worker finds himself trapped inside a tunnel at a point | Difficulty: 700-Level, Algebra, Distance/Rate Problems, Word Problems, Source: Other - Please specify | | 75 | Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and | Difficulty: 700-Level, Mixture Problems | | 76 | If x is the reciprocal of a positive integer, then the maximum value o | Difficulty: 700-Level, Min/Max Problems, Number Properties, Source: Manhattan GMAT | | 77 | Consider a regular polygon of p sides. The number of values | Difficulty: 700-Level, Geometry, Number Properties | | 78 | The number 523abc is divisible by 7,8,9. Then what is the | Difficulty: 700-Level, Divisibility/Multiples/Factors | | 79 | The remainder when N is divided by 18 is 16. Given that N is | Difficulty: 700-Level, Remainders | | 80 | Random Pack 1, Question 3 Three circles with radii... | Difficulty: 700-Level, Geometry, Source: EMPOWERgmat | | 81 | Set A is composed of nine numbers, labeled A1 through A9. Set B is als | Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT | | 82 | It takes 6 days for 3 women and 2 men working together to | Difficulty: 700-Level, Work/Rate Problems, Source: 800 Score | | 83 | If a is the sum of x consecutive positive integers. b is the | Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT | | 84 | Pam and Robin each roll a pair of fair, six-sided dice. What is the pr | Difficulty: 700-Level, Probability, Source: Veritas Prep | | 85 | If w, x, y and z are integers such that 1 < w ≤ x ≤ y ≤ z and w × x × | Difficulty: 700-Level, Number Properties, Source: Other - Please specify | | 86 | The high temperature of a summer day on Fire Island is always one of | Difficulty: 700-Level, Probability, Source: Princeton Review | | 87 | 13 students in a class had a medium score 10 and an average score of | Difficulty: 700-Level, Statistics and Sets Problems, Source: Other - Please specify | | 88 | How many different four-letter words can be formed (the words don't | Difficulty: 700-Level, Combinations | | 89 | How many distinct four-digit numbers can be formed by the | Difficulty: 700-Level, Combinations, Source: Magoosh | | 90 | Tap A can fill a tank in 10 hours, tap B can fill it in 20 hours, and, | Difficulty: 700-Level, Work/Rate Problems, Source: Crack Verbal | | 91 | How many even integers n, where 100 <= n <= 200, are divisib | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties | | 92 | If |12x−5|>|7−6x|, which of the following CANNOT be the | Difficulty: 700-Level, Absolute Values/Modulus, Inequalities, Source: Veritas Prep | | 93 | An escalator moves downward from street level to a subway platform at | Difficulty: 700-Level, Arithmetic, Distance/Rate Problems, Source: Other - Please specify | | 94 | If a, b, c, d, e, f, g, h, i and j are distinct positive integers, wha | Difficulty: 700-Level, Exponents/Powers, Source: Magoosh | | 95 | If y = |x + 5|-|x - 5|, then y can take how many integer | Difficulty: 700-Level, Absolute Values/Modulus, Source: GMAT Prep | | 96 | a, b, c, d are positive integers such that exactly one of | Difficulty: 700-Level, Inequalities | | 97 | If a and b are distinct integers and a^b = b^a, how many | Difficulty: 700-Level, Exponents/Powers, Number Properties, Source: Veritas Prep | | 98 | The positive value of x that satisfies the equation (1 + 2x) | Difficulty: 700-Level, Algebra, Exponents/Powers, Source: Manhattan GMAT | | 99 | A fair coin is tossed 6 times. What is the probability of getting no | Difficulty: 700-Level, Probability | | 100 | When the number 777 is divided by the integer N, the remaind | Difficulty: 700-Level, Remainders, Source: 800 Score |
Originally posted by Bunuel on 21 Aug 2015, 03:49.
Last edited by Bunuel on 01 Dec 2019, 05:45, edited 1 time in total.
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Math Expert
Joined: 02 Sep 2009
Posts: 59561
|
Re: 100 Hardest and easiest questions for PS
[#permalink]
Show Tags
Updated on: 01 Dec 2019, 05:45
100 Easiest Problem Solving Questions (Nov 1st, 2019 - Dec 1st, 2019) Are you familiar with the GMAT Club's timer?We have pulled timer results from our database and analyzed every question in the forum. Based on those results, we have compiled a list of the easiest questions in each of the question forums we have. Below I am presenting to you the top 100 questions from PS forum. | Problem Solving (PS) | | Rank | Title | Topics | | 1 | For which of the following values of n is (100+n)/n NOT an | Difficulty: Sub-600 Level, Arithmetic, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11 | | 2 | Which of the following is equivalent to the pair of | Difficulty: Sub-600 Level, Inequalities, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 3 | The price of a coat in a certain store is $500. If the price of the co | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 4 | If n is an integer, which of the following must be even? | Difficulty: Sub-600 Level, Must or Could be True Questions, Number Properties, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 5 | If it is assumed that 60 percent of those who receive a questionnaire | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 6 | A bakery opened yesterday with its daily supply of 40 dozen | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 7 | In the equation above, k is a constant. If y = 17 when x = 2 | Difficulty: Sub-600 Level, Algebra, Source: GMAT Paper Tests, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 8 | If the population of a certain country increases at the rate | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 10 | | 9 | The ratio 2 to 1/3 is equal to the ratio | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 10 | During a trip that they took together, Carmen, Juan, Maria, a | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 11 | On 3 sales John has received commissions of $240, $80, and $110, and | Difficulty: Sub-600 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st | | 12 | Working at a constant rate, a copy machine makes 20 copies of a one-pa | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019 | | 13 | Rectangular Floors X and Y have equal area. If Floor X is 12 | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11 | | 14 | If 2/(1+2/y)=1, then y = | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 15 | If x = -1, then -(x^4 + x^3 + x^2 + x) = | Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st | | 16 | The number 2 - 0.5 is how many times the number 1 - 0.5? | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 17 | The table shows a summary of the ticket sales from four performances o | Difficulty: Sub-600 Level, Arithmetic, Graphs and Illustrations, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 18 | What number when multiplied by 4/7 yields 6/7 as the result? | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 19 | If n is a prime number greater than 3, what is the remainder when n^2 | Difficulty: Sub-600 Level, Remainders, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 20 | What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3? | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 | | 21 | The sum S of the first n consecutive positive even integers is given | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019 | | 22 | If m is an integer such that (-2)^2m = 2^{9 - m}, then m= | Difficulty: Sub-600 Level, Exponents/Powers, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st | | 23 | A certain restaurant that regularly advertises through the mail has 1, | Difficulty: Sub-600 Level, Arithmetic, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 24 | 0.1 + 0.1^2 + 0.1^3 = | Difficulty: Sub-600 Level, Arithmetic, Exponents/Powers, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 25 | 150 is what percent of 30 ? | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 26 | In the figure above, the coordinates of point V are | Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 27 | A rectangular floor that measures 8 meters by 10 meters is to be cover | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 28 | 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 29 | In the figure above, what is the ratio of the measure of angle B to | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 30 | Kelly and Chris packed several boxes with books. If Chris packed 60 pe | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: GMAT Paper Tests, Source: OG 12, Source: OG 11, Source: OG 10 | | 31 | For which of the following values of s is (50+s)s an integer? | Difficulty: Sub-600 Level, Arithmetic, Number Properties, Source: Veritas Prep | | 32 | Company C produces toy trucks at a cost of $5.00 each for the first 10 | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 | | 33 | Each week, a clothing salesperson receives a commission equal | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 34 | In the xy-coordinate plane, if the point (0,2) lies on the graph of th | Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 35 | What is the median of the numbers shown? | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 36 | The ratio of the length to the width of a rectangular advert | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 37 | If x is negative and y is positive, which of the following must be | Difficulty: Sub-600 Level, Number Properties, Source: Princeton Review | | 38 | If Mario was 32 years old 8 years ago, how old was he x year | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 39 | If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Mixture Problems, Source: Official Guide | | 40 | 1/(1+1/3)-1/(1+1/2) | Difficulty: Sub-600 Level, Arithmetic, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 41 | If |ab| > ab, which of the following must be true? | Difficulty: Sub-600 Level, Inequalities, Number Properties, Source: Manhattan GMAT | | 42 | A certain builder is selling five homes for the following | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: GMAT Prep | | 43 | The product X of two prime numbers is between 17 and 55. If | Difficulty: Sub-600 Level, Number Properties, Source: GMAT Pill | | 44 | (1/2+1/3)/(1/4) = | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: Quant Review 1st | | 45 | A fruit-salad mixture consists of apples, peaches, and grape | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 46 | Of the final grades received by the students in a certain | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 47 | If x is an even integer, which of the following is an odd integer? | Difficulty: Sub-600 Level, Number Properties, Source: Official Guide [Pre-2000], Source: OG 1988 | | 48 | If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0 | Difficulty: Sub-600 Level, Arithmetic, Source: Grockit | | 49 | What is 3/5 of 5/8 of 2/3? | Difficulty: Sub-600 Level, Arithmetic, Source: Manhattan GMAT | | 50 | (2 3/5 - 1 2/3)/(2/3 - 3/5) | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 51 | |−4|(|−20| − |5|) = | Difficulty: Sub-600 Level, Absolute Values/Modulus, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019 | | 52 | If x is a positive integer and 4^x – 3 = y, which of the following CAN | Difficulty: Sub-600 Level, Algebra, Exponents/Powers, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 53 | While a family was away on vacation, they paid a neighborhood boy $11 | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 54 | John is traveling to a meeting that is 28 miles away. He nee | Difficulty: Sub-600 Level, Distance/Rate Problems | | 55 | In the Johnsons' monthly budget, the dollar amounts allocate | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 56 | If p/q < 1, and p and q are positive integers, which of the | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Inequalities, Must or Could be True Questions, Number Properties, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 57 | As a salesperson, Phyllis can choose one of two methods of a | Difficulty: Sub-600 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 58 | If (-5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ? | Difficulty: Sub-600 Level, Exponents/Powers, Source: Grockit | | 59 | For which of the following x is |x|+x>0 ? | Difficulty: Sub-600 Level, Absolute Values/Modulus, Inequalities, Source: Math Revolution | | 60 | If Sally can paint a house in 4 hours, and John can paint the same hou | Difficulty: Sub-600 Level, Work/Rate Problems | | 61 | Three business partners, Q, R, and S, agree to divide their | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2nd, Source: Quant Review 1st | | 62 | Running at the same rate, 8 identical machines can produce 560 papercl | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Magoosh | | 63 | (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 64 | A gym class can be divided into 8 teams with an equal number | Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 65 | 1/(3-1/(3-1/(3-1)))= | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd | | 66 | A technician makes a round-trip to and from a certain service center b | Difficulty: Sub-600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 67 | The amounts of time that three secretaries worked on a | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10 | | 68 | (1/5)^2 - 1/5*1/4 = | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 69 | A bag contains 7 red, 9 yellow, and 3 black balls. If a ball is pick | Difficulty: Sub-600 Level, Combinations, Source: Other - Please specify | | 70 | In the figure shown, what is the value of x ? | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 71 | A rectangular garden is to be twice as long as it is wide. | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015 | | 72 | Running at the same constant rate, 6 identical machines can | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 73 | A student's average (arithmetic mean) test score on 4 tests is 78. Wha | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 74 | If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 75 | If Albert can travel 200 miles in 4 hours, how many hours will it take | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Princeton Review | | 76 | If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 77 | If the median of the numbers in list I above is equal to the | Difficulty: Sub-600 Level, Must or Could be True Questions, Statistics and Sets Problems, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 78 | If the figure provided is drawn to scale, which of the following point | Difficulty: Sub-600 Level, Absolute Values/Modulus, Source: Grockit | | 79 | If x + y = 7 and x – y = 3, then x^2 - y^2 = | Difficulty: Sub-600 Level, Algebra, Source: Manhattan GMAT | | 80 | |-4| (|-20|-|5|)= ? | Difficulty: Sub-600 Level, Absolute Values/Modulus, Arithmetic | | 81 | (2+2 * sqrt (6) )/2 | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Roots, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 82 | 1/(0.75-1)= | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 83 | Two years ago, Sam put $1,000 into a savings account. | Difficulty: Sub-600 Level, Percents and Interest Problems | | 84 | Scott takes a trip and drives 6 hours from Town X to Town Z at a rate | Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Manhattan GMAT | | 85 | A certain machine produces 1,000 units of product P per hour. Working | Difficulty: Sub-600 Level, Work/Rate Problems, Source: GMAT Prep | | 86 | Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 | | 87 | The sum of the weekly salaries of 5 employees is $3,250. If each of th | Difficulty: Sub-600 Level, Percents and Interest Problems, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018 | | 88 | If O is the center of the circle above, what fraction of the circular | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 89 | If 3 - x = 2x - 3, then 4x = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 90 | Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and | Difficulty: Sub-600 Level, Geometry, Source: Economist GMAT Tutor, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017 | | 91 | Ron is 4 inches taller than Amy, and Barbara is 1 inch taller than Ron | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 92 | If f(x)=3x−√x and g(x)=x^2, what is f(g(4))? | Difficulty: Sub-600 Level, Algebra, Functions and Custom Characters, Source: GMAT Club Tests | | 93 | At the opening of a trading day at a certain stock exchange, the price | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 | | 94 | Eight identical machines can produce 360 aluminum cans per | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Princeton Review | | 95 | If f(x)= 5x^3- 2x+8 and g(y)= 6y-4, then g(f(x)) = | Difficulty: Sub-600 Level, Algebra, Functions and Custom Characters, Source: 800 Score | | 96 | Root(80)+root(125) | Difficulty: Sub-600 Level, Roots, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 97 | A committee is composed of w women and m men. If 3 women and | Difficulty: Sub-600 Level, Probability, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 98 | (1+5^1/2)(1-5^1/2)= | Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 99 | In the figure, the 6 small squares are identical, each with sides of l | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019 | | 100 | A retailer purchased eggs at $2.80 per dozen and sold the eggs at 3 eg | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 |
Originally posted by Bunuel on 21 Aug 2015, 03:52.
Last edited by Bunuel on 01 Dec 2019, 05:45, edited 1 time in total.
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Math Expert
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Re: 100 Hardest and easiest questions for PS
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21 Aug 2015, 05:20
Older version of this topic with 100 hardest questions is HERE.
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Re: 100 Hardest and easiest questions for PS
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19 May 2016, 14:46
I can easily get every question out of the sub 600 list but honestly have no clue how to even approach the 700+ list. Are there questions that fall in-between?
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20 May 2016, 01:53
hffballer wrote: I can easily get every question out of the sub 600 list but honestly have no clue how to even approach the 700+ list. Are there questions that fall in-between? Check our Questions Bank, where you can find 600-700 level questions. Also, visit our Search Page to filter questions by various categories. Hope it helps.
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20 May 2016, 07:55
Bunuel wrote: hffballer wrote: I can easily get every question out of the sub 600 list but honestly have no clue how to even approach the 700+ list. Are there questions that fall in-between? Check our Questions Bank, where you can find 600-700 level questions. Also, visit our Search Page to filter questions by various categories. Hope it helps. thanks a lot Brunuel. One more question. If i'm aiming for 80th percentile in Quant would i have to get a lot of these questions in your 700 bucket above correct? Want to know if i'm really far away from my target or just getting intimidated by 750+ level questions. Thanks again.
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Re: 100 Hardest and easiest questions for PS
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10 Sep 2016, 09:42
can anyone help me answer this question?
a nickel, a dime and 2 identical quarters are arranged along a side of a table. if the quarters and dime must face heads up, while nickel can face heads up or tails up, how many different arrangemnts of the coins are possible?
what level question is this?
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Re: 100 Hardest and easiest questions for PS
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11 Sep 2016, 03:25
geetgmat wrote: can anyone help me answer this question?
a nickel, a dime and 2 identical quarters are arranged along a side of a table. if the quarters and dime must face heads up, while nickel can face heads up or tails up, how many different arrangemnts of the coins are possible?
what level question is this? Discussed here: a-nickel-a-dime-and-2-identical-quarters-are-arranged-59417.htmlPLEASE READ AND FOLLOW: rules-for-posting-please-read-this-before-posting-133935.html
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Senior PS Moderator
Status: It always seems impossible until it's done.
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GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42
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Re: 100 Hardest and easiest questions for PS
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07 Mar 2018, 23:18
700+ questions a different ball game all together. The more I practice the more it dawns on me that you have to get these 700+ consistently correct to be able to cross the 44 mark in quant. A long way to go... but thanks for the compilation Bunuel!
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Gladi
“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
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Re: 100 Hardest and easiest questions for PS as of April 2019
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29 May 2019, 22:55
Bunuel wrote: 100 Hardest Problem Solving Questions (Apr 1st, 2019 - May 1st, 2019)Are you familiar with the GMAT Club's timer Hi Bunuel, Is there a similar collation of data sufficiency questions as well?
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Re: 100 Hardest and easiest questions for PS as of April 2019
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29 May 2019, 23:47
themindful wrote: Bunuel wrote: 100 Hardest Problem Solving Questions (Apr 1st, 2019 - May 1st, 2019)Are you familiar with the GMAT Club's timer Hi Bunuel, Is there a similar collation of data sufficiency questions as well? Have you tried checking DS forum? Here it is: https://gmatclub.com/forum/150-hardest- ... 04132.html
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Re: 100 Hardest and easiest questions for PS as of June 2019
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11 Jul 2019, 10:17
Thanks , was searching something like this , all at one place !
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100 Hardest and easiest questions for PS as of June 2019
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29 Jul 2019, 07:22
Bunuel Can we get all of this in a single PDF? Actually I was looking for some practice set PS-SC-CR-RC which i could print and take test? Thanks for all your efforts.Really appreciate it.
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100 Hardest and easiest questions for PS as of June 2019
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29 Jul 2019, 07:22
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