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100 Hardest and easiest questions for PS as of September 2019

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Joined: 02 Sep 2009
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100 Hardest and easiest questions for PS  [#permalink]

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New post Updated on: 01 Oct 2019, 04:45
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100 Hardest Problem Solving Questions (Sep 1st, 2019 - Oct 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)
RankTitleTopics
1In the figure, point D divides side BC of triangle ABC into segments Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
2During 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
3An isosceles triangle with one angle of 120° is inscribed in Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
4If two integers are chosen at random out of the set {2, 5, 7, 8}, what Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT
5The sum of four consecutive odd numbers is equal to the sum Difficulty: 700-Level, Sequences
6If the product of all the unique positive divisors of n, a positive in Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT
7A list of numbers has six positive integers. Three of those integers a Difficulty: 700-Level, Statistics and Sets Problems, Source: Veritas Prep
8Daniel is playing a dice game in which a dice is rolled 5 times Difficulty: 700-Level, Probability, Source: Other - Please specify
9Arrow AB which is a line segment exactly 5 units along with Difficulty: 700-Level, Coordinate Geometry, Source: Manhattan GMAT
10In the x-y plane, point (p, q) is a lattice point if both p Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Magoosh
11The function g(x) is defined for integers x such that if x Difficulty: 700-Level, Algebra, Functions and Custom Characters
12A bus from city M is traveling to city N at a constant speed Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Club Tests
13A box contains three pairs of blue gloves and two pairs of Difficulty: 700-Level, Probability, Source: GMAT Club Tests
14Twenty meters of wire is available to fence off a flower bed in the Difficulty: 700-Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor
15There 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
16If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest Difficulty: 700-Level, Algebra, Divisibility/Multiples/Factors, Number Properties
17How many integral values of k are possible, if the lines 3x+ Difficulty: 700-Level, Coordinate Geometry
18An integer between 1 and 300, inclusive, is chosen at random Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT
19If [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
20A bag contains 3 red and 2 black ball. Another bag contains 4 red and Difficulty: 700-Level, Probability
21How many even 3 digit integers greater than 700 with distinct non zero Difficulty: 700-Level, Combinations
22Let 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
23If 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
24On a partly cloudy day, Derek decides to walk back from work Difficulty: 700-Level, Distance/Rate Problems, Source: Veritas Prep
25The figure above shows gas mileage at different speeds for all compact Difficulty: 700-Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other - Please specify
26A botanist selects n^2 trees on an island and studies (2n + Difficulty: 700-Level, Remainders, Source: Princeton Review
27What is the probability of getting a sum of 8 or 14 when Difficulty: 700-Level, Probability
28How many 4-digit numbers can be formed by using the digits 0 Difficulty: 700-Level, Combinations
29If the probability of rain on any given day is 50%, what is the probab Difficulty: 700-Level, Probability, Source: Veritas Prep
30A sequence of numbers (geometric sequence) is given by the Difficulty: 700-Level, Absolute Values/Modulus, Exponents/Powers, Sequences, Source: Grockit
31In a certain mathematical activity, we have five cards with five diffe Difficulty: 700-Level, Combinations, Source: Magoosh
32In a certain sequence, each term beyond the second term is equal to th Difficulty: 700-Level, Sequences, Source: Other - Please specify
33A customer using a certain telephone calling plan pays a fee Difficulty: 700-Level, Word Problems, Source: Kaplan
34How many numbers that are not divisible by 6 divide evenly Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT
35If a circle passes through points (9,2*sqrt(3)) Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Other - Please specify
36How many 2-inch by 3-inch rectangular tiles are required to tile this Difficulty: 700-Level, Geometry, Source: Other - Please specify
37Ms. Barton has four children. You are told correctly that she has at Difficulty: 700-Level, Probability, Source: Manhattan GMAT
38If x and y are integers and 2x + 9y = 57, then the least possible valu Difficulty: 700-Level, Algebra, Source: Veritas Prep
39In 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
40For 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
41In a certain sequence, every term after the first is determi Difficulty: 700-Level, Sequences, Source: Manhattan GMAT
42How many values can the integer p=|x+3|-|x-3| assume? Difficulty: 700-Level, Absolute Values/Modulus
43The elevator in an eleven-story office building travels at Difficulty: 700-Level, Distance/Rate Problems
44How many different pairs of integers (a, b) exist such that 2 <= a <= Difficulty: 700-Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT
45How many different combinations of outcomes can you make by Difficulty: 700-Level, Combinations
46A cylindrical tank of radius R and height H must be redesign Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
47Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa Difficulty: 700-Level, Work/Rate Problems
48If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of th Difficulty: 700-Level, Algebra, Source: Math Revolution
49If 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
50Darcy, Gina, Ray and Susan will be the only participants at a meeting. Difficulty: 700-Level, Probability, Source: Kaplan
51A sheet of paper ABDE is a 12-by-18-inch rectangle, as shown in Figure Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
52We 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
53A terrible disease sweeps around the world, luckily only affecting 1 Difficulty: 700-Level, Probability, Source: Other - Please specify
54List 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
55On the number line shown, the distance between 0 and a . . . Difficulty: 700-Level, Absolute Values/Modulus, Algebra, Source: e-GMAT
56A big cube is formed by rearranging the 160 coloured and 56 Difficulty: 700-Level, Geometry, Percents and Interest Problems
57Louie takes out a three-month loan of $1000. The lender Difficulty: 700-Level, Percents and Interest Problems, Source: Magoosh
58A bag contains 10 bulbs and 5 torches, out of which 3 bu Difficulty: 700-Level, Probability, Source: e-GMAT
59Set S consists of numbers 2, 3, 6, 48, and 164. Number K is Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Probability
60Random Pack 1, Question 3 Three circles with radii... Difficulty: 700-Level, Geometry, Source: EMPOWERgmat
61How many integers less than 100 have exactly 4 odd factors b Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties
62In the diagram, points A, B, and C are on the diameter of Difficulty: 700-Level, Geometry, Source: Kaplan
63Of the three-digit integers greater than 660, how many have Difficulty: 700-Level, Combinations
64In a survey,it was found that 10% of the students who are susceptible Difficulty: 700-Level, Overlapping Sets, Source: Other - Please specify
65Pam and Robin each roll a pair of fair, six-sided dice. What is the pr Difficulty: 700-Level, Probability, Source: Veritas Prep
66Points A and B are 120 km apart. A motorcyclist starts from Difficulty: 700-Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT
67Cassandra sets her watch to the correct time at noon. At the actual ti Difficulty: 700-Level, Word Problems, Work/Rate Problems, Source: Other - Please specify
68If a, b, c, d, e, f, g, h, i and j are distinct positive integers, wha Difficulty: 700-Level, Exponents/Powers, Source: Magoosh
69A 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
70What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x Difficulty: 700-Level, Exponents/Powers, Source: GMATPrepNow
71Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and Difficulty: 700-Level, Mixture Problems
72In a hostel there are 250 students, 120 watch Fox News, 80 watch Sky S Difficulty: 700-Level, Overlapping Sets, Source: Jamboree
73Brian is analyzing the performance of certain stocks. He finds that Difficulty: 700-Level, Statistics and Sets Problems, Word Problems, Source: Princeton Review
74If 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
75The 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
76The high temperature of a summer day on Fire Island is always one of Difficulty: 700-Level, Probability, Source: Princeton Review
77The remainder when N is divided by 18 is 16. Given that N is Difficulty: 700-Level, Remainders
78If x is the reciprocal of a positive integer, then the maximum value o Difficulty: 700-Level, Min/Max Problems, Number Properties, Source: Manhattan GMAT
79Last year Isabella took 7 math tests and received 7 different scores, Difficulty: 700-Level, Arithmetic, Number Properties, Source: Other - Please specify
80The number 523abc is divisible by 7,8,9. Then what is the Difficulty: 700-Level, Divisibility/Multiples/Factors
81Consider a regular polygon of p sides. The number of values Difficulty: 700-Level, Geometry, Number Properties
82If 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
83It takes 6 days for 3 women and 2 men working together to Difficulty: 700-Level, Work/Rate Problems, Source: 800 Score
84Set A is composed of nine numbers, labeled A1 through A9. Set B is als Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT
85If |12x−5|>|7−6x|, which of the following CANNOT be the Difficulty: 700-Level, Absolute Values/Modulus, Inequalities, Source: Veritas Prep
86How many distinct four-digit numbers can be formed by the Difficulty: 700-Level, Combinations, Source: Magoosh
87A fair coin is tossed 6 times. What is the probability of getting no Difficulty: 700-Level, Probability
88How many even integers n, where 100 <= n <= 200, are divisib Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties
89If a is the sum of x consecutive positive integers. b is the Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT
90A railroad worker finds himself trapped inside a tunnel at a point Difficulty: 700-Level, Algebra, Distance/Rate Problems, Word Problems, Source: Other - Please specify
91How many different four-letter words can be formed (the words don't Difficulty: 700-Level, Combinations
92If y = |x + 5|-|x - 5|, then y can take how many integer Difficulty: 700-Level, Absolute Values/Modulus, Source: GMAT Prep
93The positive value of x that satisfies the equation (1 + 2x) Difficulty: 700-Level, Algebra, Exponents/Powers, Source: Manhattan GMAT
94Three men A, B and C working together can do a work in 30 da Difficulty: 700-Level, Work/Rate Problems
95If a and b are distinct integers and a^b = b^a, how many Difficulty: 700-Level, Exponents/Powers, Number Properties, Source: Veritas Prep
96a, b, c, d are positive integers such that exactly one of Difficulty: 700-Level, Inequalities
97When the number 777 is divided by the integer N, the remaind Difficulty: 700-Level, Remainders, Source: 800 Score
98An escalator moves downward from street level to a subway platform at Difficulty: 700-Level, Arithmetic, Distance/Rate Problems, Source: Other - Please specify
99For how many different pairs of positive integers (a, b) can Difficulty: 700-Level, Arithmetic, Source: Manhattan GMAT
10013 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

_________________

Originally posted by Bunuel on 21 Aug 2015, 03:49.
Last edited by Bunuel on 01 Oct 2019, 04:45, edited 1 time in total.
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Math Expert
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Posts: 58297
Re: 100 Hardest and easiest questions for PS  [#permalink]

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New post Updated on: 01 Oct 2019, 04:45
14
52

100 Easiest Problem Solving Questions (Sep 1st, 2019 - Oct 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)
RankTitleTopics
1For 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
2Which 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
3The 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
4If 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
5If 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
6A 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
7During 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
8In 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
9The 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
10If the population of a certain country increases at the rate Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 10
11Working 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
12If 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
13On 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
14If 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
15Rectangular 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
16The 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
17What 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
18The 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
19If 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
20What 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
21If 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
22The 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
23A 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
24In 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
25For which of the following values of s is (50+s)s an integer? Difficulty: Sub-600 Level, Arithmetic, Number Properties, Source: Veritas Prep
260.1 + 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
27150 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
28A 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
29Each week, a clothing salesperson receives a commission equal Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019
301/3 +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
31In 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
32Kelly 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
33Company 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
34What is the median of the numbers shown? Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019
35In 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
36The 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
37If x is negative and y is positive, which of the following must be Difficulty: Sub-600 Level, Number Properties, Source: Princeton Review
381/(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
39If 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
40If |ab| > ab, which of the following must be true? Difficulty: Sub-600 Level, Inequalities, Number Properties, Source: Manhattan GMAT
41A 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
42If 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
43(1/2+1/3)/(1/4) = Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: Quant Review 1st
44Of 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
45|−4|(|−20| − |5|) = Difficulty: Sub-600 Level, Absolute Values/Modulus, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019
46The product X of two prime numbers is between 17 and 55. If Difficulty: Sub-600 Level, Number Properties, Source: GMAT Pill
47A certain builder is selling five homes for the following Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: GMAT Prep
48If 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
49(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
50If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0 Difficulty: Sub-600 Level, Arithmetic, Source: Grockit
51In 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
52While 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
53If 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
54As 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
55What is 3/5 of 5/8 of 2/3? Difficulty: Sub-600 Level, Arithmetic, Source: Manhattan GMAT
56If 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
57(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
58John is traveling to a meeting that is 28 miles away. He nee Difficulty: Sub-600 Level, Distance/Rate Problems
59A 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
60Running at the same rate, 8 identical machines can produce 560 papercl Difficulty: Sub-600 Level, Work/Rate Problems, Source: Magoosh
61If (-5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ? Difficulty: Sub-600 Level, Exponents/Powers, Source: Grockit
62Three 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
63(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
64The amounts of time that three secretaries worked on a Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10
65A 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
661/(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
67In the figure shown, what is the value of x ? Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019
68A 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
69If 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
70If 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
71If x + y = 7 and x – y = 3, then x^2 - y^2 = Difficulty: Sub-600 Level, Algebra, Source: Manhattan GMAT
72A 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
73For which of the following x is |x|+x>0 ? Difficulty: Sub-600 Level, Absolute Values/Modulus, Inequalities, Source: Math Revolution
74Running 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
75A bag contains 7 red, 9 yellow, and 3 black balls. If a ball is pick Difficulty: Sub-600 Level, Combinations, Source: Other - Please specify
76If the figure provided is drawn to scale, which of the following point Difficulty: Sub-600 Level, Absolute Values/Modulus, Source: Grockit
77If 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
78Scott 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
791/(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
80If 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
81|-4| (|-20|-|5|)= ? Difficulty: Sub-600 Level, Absolute Values/Modulus, Arithmetic
82If 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
83(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
84If 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
85If Sally can paint a house in 4 hours, and John can paint the same hou Difficulty: Sub-600 Level, Work/Rate Problems
86Two years ago, Sam put $1,000 into a savings account. Difficulty: Sub-600 Level, Percents and Interest Problems
87(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
88If Albert can travel 200 miles in 4 hours, how many hours will it take Difficulty: Sub-600 Level, Work/Rate Problems, Source: Princeton Review
89If 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
90The 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
91Ron 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
92Guadalupe 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
93Eight identical machines can produce 360 aluminum cans per Difficulty: Sub-600 Level, Work/Rate Problems, Source: Princeton Review
94Root(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
95Points 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
96Coins are dropped into a toll box so that the box is being Difficulty: Sub-600 Level, Geometry, Work/Rate Problems, Source: Official Guide, Source: OG 10
97If x/4 is 2 more than x/8, then x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd
98If 60 percent of a rectangular floor is covered by a rectang Difficulty: Sub-600 Level, Arithmetic, Geometry, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st
99A certain machine produces 1,000 units of product P per hour. Working Difficulty: Sub-600 Level, Work/Rate Problems, Source: GMAT Prep
100At 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

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Originally posted by Bunuel on 21 Aug 2015, 03:52.
Last edited by Bunuel on 01 Oct 2019, 04:45, edited 1 time in total.
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New post 19 May 2016, 14:46
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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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New post 20 May 2016, 01:53
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New post 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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New post 10 Sep 2016, 09:42
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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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New post 11 Sep 2016, 03:25
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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.html

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Re: 100 Hardest and easiest questions for PS  [#permalink]

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New post 07 Mar 2018, 23:18
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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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New post 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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New post 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  [#permalink]

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New post 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   [#permalink] 29 Jul 2019, 07:22
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