100 Hardest and easiest questions for PS as of June 2026

Question

100 Hardest Problem Solving Questions (Jun 1st, 2026 - Sep 1st, 2026)  
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   Set S contains 16 integers whose range, mode, median, and    Difficulty: 805+ (Hard), Statistics and Sets Problems, Source: Questions from Experts    2   In a hostel there are 250 students, 120 watch Fox News, 80 watch Sky S    Difficulty: 805+ (Hard), Overlapping Sets, Source: Jamboree    3   Two trucks travel from Alphaburg to Betaville along the same route.    Difficulty: 805+ (Hard), Distance and Speed Problems, Word Problems, Source: Kaplan    4   12 Days of Christmas GMAT Competition - Day 4: For each positive    Difficulty: 805+ (Hard), Number Properties, Source: Competition Questions, Source: GMAT Club Tests    5   Let a 2-placer be a terminating decimal, between 0 and 1, for which    Difficulty: 805+ (Hard), Combinations, Fractions and Ratios, Number Properties, Source: Manhattan GMAT    6   A box contains three pairs of blue gloves and two pairs of    Difficulty: 805+ (Hard), Probability, Source: Manhattan GMAT    7   If two integers are chosen at random out of the set {2, 5, 7, 8}, what    Difficulty: 805+ (Hard), Probability, Source: Manhattan GMAT    8   A list of numbers has six positive integers. Three of those integers a    Difficulty: 805+ (Hard), Statistics and Sets Problems, Source: Veritas Prep    9   Arrow AB which is a line segment exactly 5 units along with    Difficulty: 805+ (Hard), Coordinate Plane, Source: Manhattan GMAT    10   For how many integers k does the equation  x^2-kx+    Difficulty: 805+ (Hard), Algebra, Multiples and Factors, Source: Questions from Experts    11   A square is drawn in the coordinate plane with its vertices at the poi    Difficulty: 805+ (Hard), Coordinate Plane, Source: Manhattan GMAT    12   A set of five positive integers has an arithmetic mean of 150. A parti    Difficulty: 805+ (Hard), Number Properties, Statistics and Sets Problems, Source: Veritas Prep    13   In a certain mathematical activity, we have five cards with five diffe    Difficulty: 805+ (Hard), Combinations, Source: Magoosh    14   A bag contains 6 large marbles: 3 red, 2 green, and 1 yellow, and 3 sm    Difficulty: 805+ (Hard), Probability, Source: Magoosh    15   There are 500 cars on a sales lot, all of which have either two doors    Difficulty: 805+ (Hard), Overlapping Sets, Source: Magoosh    16   GMAT Club World Cup 2022 (DAY 5): The infinite sequence of integers    Difficulty: 805+ (Hard), Sequences, Source: Competition Questions, Source: GMAT Club Tests    17   A bus from city M is traveling to city N at a constant speed while ano    Difficulty: 805+ (Hard), Distance and Speed Problems, Source: GMAT Club Tests    18   If the product of all the unique positive divisors of n, a positive in    Difficulty: 805+ (Hard), Multiples and Factors, Number Properties, Source: Manhattan GMAT    19   For positive integers k and n, the k-power remainder of n is defined    Difficulty: 805+ (Hard), Min-Max Problems, Number Properties, Remainders, Source: Manhattan GMAT    20   Six friends live in the city of Monrovia. There are four nat    Difficulty: 805+ (Hard), Probability, Source: Veritas Prep    21   In the country of Celebria, the Q-score of a politician is computed fr    Difficulty: 805+ (Hard), Percent and Interest Problems, Word Problems, Source: Manhattan GMAT    22   In the coordinate axis above, line segment AC is three times    Difficulty: 805+ (Hard), Coordinate Plane, Source: Princeton Review    23   The random variable x has the following continuous probability distrib    Difficulty: 805+ (Hard), Coordinate Plane, Probability, Source: Manhattan GMAT    24   The median of n consecutive odd integers is 30. If the fifth term.....    Difficulty: 805+ (Hard), Number Properties, Statistics and Sets Problems, Source: e-GMAT    25   An integer between 1 and 300, inclusive, is chosen at random    Difficulty: 805+ (Hard), Number Properties, Probability, Source: Manhattan GMAT    26   Darcy, Gina, Ray and Susan will be the only participants at a meeting.    Difficulty: 805+ (Hard), Probability, Source: Kaplan    27   x and y are pos integers such that xy + x = 131 - y.    Difficulty: 805+ (Hard), Algebra, Combinations, Source: Questions from Experts    28   On a partly cloudy day, Derek decides to walk back from work    Difficulty: 805+ (Hard), Distance and Speed Problems, Source: Veritas Prep    29   A botanist selects n^2 trees on an island and studies (2n +    Difficulty: 805+ (Hard), Remainders, Source: Princeton Review    30   If a, b, c, d, e, f, g, h, i and j are distinct positive integers, wha    Difficulty: 805+ (Hard), Exponents, Source: Magoosh    31   Question of the Week - 27 (q is a three-digit number, in which ......)    Difficulty: 805+ (Hard), Algebra, Multiples and Factors, Number Properties, Source: e-GMAT    32   How many positive seven-digit integers include the sequence 123, in th    Difficulty: 805+ (Hard), Combinations, Source: Veritas Prep    33   For how many different pairs of positive integers (a, b) can    Difficulty: 805+ (Hard), Arithmetic, Source: Manhattan GMAT    34   Two trains A and B start from two points P1 and P2 respectively at the    Difficulty: 805+ (Hard), Arithmetic, Source: Kaplan    35   A bicyclist travels 8 miles due west at a constant speed. Next, she    Difficulty: 805+ (Hard), Distance and Speed Problems, Source: Magoosh    36   If the product of 6 distinct positive integers is 6^6. What is the min    Difficulty: 805+ (Hard), Exponents, Min-Max Problems, Statistics and Sets Problems, Source: GMAT Club Tests    37   Bill and Jane play a simple game involving two fair dice, each of    Difficulty: 805+ (Hard), Probability, Source: Manhattan GMAT    38   Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one gr    Difficulty: 805+ (Hard), Combinations, Source: Magoosh    39   How many distinct four-digit numbers can be formed by the    Difficulty: 805+ (Hard), Combinations, Source: Magoosh    40   In the game of Yahtzee, a "full house" occurs when a player    Difficulty: 805+ (Hard), Probability, Source: Veritas Prep    41   4 individuals arrive separately at an orchestra concert with    Difficulty: 805+ (Hard), Probability, Source: Veritas Prep    42   Jordan and Michael begin filling a number of sandbags at the    Difficulty: 805+ (Hard), Work and Rate Problems, Source: Questions from Experts    43   If x and y are integers and 2x + 9y = 57, then the least possible valu    Difficulty: 805+ (Hard), Algebra, Source: Veritas Prep    44   For every positive number x, f(x)= 1/4 multiplied by greatest integer    Difficulty: 805+ (Hard), Functions and Custom Characters, Multiples and Factors, Source: Questions from Experts    45   GMAT Club Olympics 2024 (Day 6): To be allowed to participate in the    Difficulty: 805+ (Hard), Min-Max Problems, Overlapping Sets, Source: Competition Questions, Source: GMAT Club Tests    46   Highmont private school polled the graduating class of 125 for the mus    Difficulty: 805+ (Hard), Overlapping Sets, Source: Magoosh    47   Question of the Week - 43 (While working individually, each of A, B)    Difficulty: 805+ (Hard), Word Problems, Work and Rate Problems, Source: e-GMAT    48   GMAT Club Olympics 2024 (Day 4): Homer and Marge are in a ticket line    Difficulty: 805+ (Hard), Min-Max Problems, Word Problems, Source: Competition Questions, Source: GMAT Club Tests    49   If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte    Difficulty: 805+ (Hard), Absolute Values, Algebra, Exponents, Min-Max Problems, Source: Manhattan GMAT    50   Theresa is a basketball player practicing her free throws. On her fir    Difficulty: 805+ (Hard), Fractions and Ratios, Probability, Source: Magoosh    51   Brian is analyzing the performance of certain stocks. He finds that    Difficulty: 805+ (Hard), Word Problems, Source: Princeton Review    52   How many different pairs of integers (a, b) exist such that 2 <= a <=    Difficulty: 805+ (Hard), Algebra, Combinations, Inequalities, Source: Manhattan GMAT    53   If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of th    Difficulty: 805+ (Hard), Algebra, Source: Math Revolution    54   An arithmetic sequence of 10 positive integers has a fourth    Difficulty: 805+ (Hard), Sequences, Source: Questions from Experts    55   If Whitney wrote the decimal representations for the first 300 positiv    Difficulty: 805+ (Hard), Combinations, Number Properties, Source: Official Guide    56   In a game of Numberball, teams can score in increments of 3, 4, or 7    Difficulty: 805+ (Hard), Algebra, Min-Max Problems, Source: Manhattan GMAT    57   A, B and C are three distinct single-digit positive numbers.    Difficulty: 805+ (Hard), Combinations, Number Properties, Source: e-GMAT    58   If x and y are integers such that 4x + 3y = 3xy, how many distinct    Difficulty: 805+ (Hard), Algebra, Source: GMAT Club Tests    59   List L contains the 98 repeating decimals 0.010101..., 0.020202..., ..    Difficulty: 805+ (Hard), Number Properties, Source: Manhattan GMAT    60   Pam and Robin each roll a pair of fair, six-sided dice. What is the pr    Difficulty: 805+ (Hard), Probability, Source: Veritas Prep    61   On Friday, four people sat one behind the other in a movie theater.    Difficulty: 805+ (Hard), Combinations, Source: GMAT Club Tests    62   How many numbers that are not divisible by 6 divide evenly    Difficulty: 805+ (Hard), Multiples and Factors, Source: Manhattan GMAT    63   A bag contains 10 bulbs and 5 torches, out of which 3 bu    Difficulty: 805+ (Hard), Probability, Source: e-GMAT    64   For any positive integer n greater than 1, n! denotes the product of a    Difficulty: 805+ (Hard), Multiples and Factors, Source: e-GMAT    65   Ben and Shari have invited three other couples to their apar    Difficulty: 805+ (Hard), Combinations, Source: Princeton Review    66   Louie takes out a three-month loan of $1000. The lender charges him 10    Difficulty: 805+ (Hard), Percent and Interest Problems, Source: Magoosh    67   If the probability of rain on any given day is 50%, what is the probab    Difficulty: 805+ (Hard), Probability, Source: Veritas Prep    68   If n is a positive integer chosen at random, what is the pro    Difficulty: 805+ (Hard), Multiples and Factors, Number Properties, Source: Questions from Experts    69   x = 10^10 - z, where z is a two-digit integer. If the sum of the digit    Difficulty: 805+ (Hard), Exponents, Number Properties, Source: Manhattan GMAT    70   One side of a parking stall is defined by a straight stripe that consi    Difficulty: 805+ (Hard), Number Properties, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021    71   Which of the following is/are true?    Difficulty: 805+ (Hard), Absolute Values, Inequalities, Source: Experts' Global    72   If x is the reciprocal of a positive integer, then the maximum value o    Difficulty: 805+ (Hard), Min-Max Problems, Number Properties, Source: Manhattan GMAT    73   W, X, Y and Z are four different positive integers. When X    Difficulty: 805+ (Hard), Remainders, Source: GMAT Prep Now    74   If the units digit of a positive integer n is 2 and there are 4 factor    Difficulty: 805+ (Hard), Multiples and Factors, Number Properties, Source: GMAT Club Tests    75   Stefanos and his five colleagues have a total of 35    Difficulty: 805+ (Hard), Must or Could be True, Statistics and Sets Problems, Source: Questions from Experts    76   List T consist of 30 positive decimals, none of which is an integer    Difficulty: 805+ (Hard), Min-Max Problems, Source: Official Guide, Source: OG 2025-2026, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015    77   A not-so-good clockmaker has four clocks on display in the w    Difficulty: 805+ (Hard), Distance and Speed Problems, Source: Power Prep    78   Two different primes may be said to “rhyme” around an integer if they    Difficulty: 805+ (Hard), Number Properties, Source: Manhattan GMAT    79   When 85 is divided by a positive integer n, the remainder is 7, and wh    Difficulty: 805+ (Hard), Remainders, Source: GMAT Club Tests    80   Set A is composed of nine numbers, labeled A1 through A9. Set B is als    Difficulty: 805+ (Hard), Statistics and Sets Problems, Source: Manhattan GMAT    81   A computer program generates a single digit by a random process, accor    Difficulty: 805+ (Hard), Probability, Source: Manhattan GMAT    82   A sequence of numbers (geometric sequence) is given by the    Difficulty: 805+ (Hard), Absolute Values, Exponents, Sequences, Source: Grockit    83   What is the decreasing order from left to right of the following numbe    Difficulty: 805+ (Hard), Number Properties, Roots, Source: Princeton Review    84   10 teams (A, B, C, D, E, F, G, H, I and J) participate in a soccer tou    Difficulty: 805+ (Hard), Word Problems, Source: GMAT Prep Now    85   How many different combinations of outcomes can you make by    Difficulty: 805+ (Hard), Combinations, Source: Jamboree    86   Three points are chosen independently an at random on the circumferenc    Difficulty: 805+ (Hard), Probability, Source: Manhattan GMAT    87   A soccer team played 25% more matches year-on-year in the second year    Difficulty: 805+ (Hard), Word Problems, Source: Official Guide, Source: OG 10    88   GMAT Club World Cup 2022 (DAY 7): Ronaldo puts an orange, an apple and    Difficulty: 805+ (Hard), Probability, Source: Competition Questions, Source: GMAT Club Tests    89   How many distinct positive integers d exist such that, when 48 is    Difficulty: 805+ (Hard), Remainders, Source: GMAT Club Tests    90   Bob invested one half of his savings in a bond that paid simple intere    Difficulty: 805+ (Hard), Percent and Interest Problems, Source: Veritas Prep    91   One week a certain vehicle rental outlet had a total of 40 cars, 12 tr    Difficulty: 805+ (Hard), Probability, Source: Manhattan GMAT    92   w, x, y, and z are different integers. If w/x = y/z, which    Difficulty: 805+ (Hard), Fractions and Ratios, Source: GMAT Prep Now    93   There are two solutions of water and spirit of different concentration    Difficulty: 805+ (Hard), Mixture Problems, Source: GMATWhiz    94   Ida had 5 cards with matching envelopes - same in design, different in    Difficulty: 805+ (Hard), Probability, Source: Experts' Global    95   It takes 6 days for 3 women and 2 men working together to    Difficulty: 805+ (Hard), Work and Rate Problems, Source: 800 Score    96   If y = |x + 5| - |x - 5|, then y can take how many integer vales?    Difficulty: 805+ (Hard), Absolute Values, Source: GMAT Club Tests    97   If 7<x^2-4x+12, which of the following MUST be true?    Difficulty: 805+ (Hard), Exponents, Inequalities, Source: GMAT Prep Now    98   A five-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5    Difficulty: 805+ (Hard), Combinations, Source: e-GMAT    99   The ratio of a to b is twice the ratio of b to c. If a, b, and c are    Difficulty: 805+ (Hard), Fractions and Ratios, Number Properties, Source: Manhattan GMAT    100   In Company W, the salary of each employee with an advanc    Difficulty: 805+ (Hard), Word Problems, Source: Questions from Experts

Bunuel · Accepted Answer

100 Easiest Problem Solving Questions (Jun 1st, 2026 - Sep 1st, 2026)
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 x is \|x\|+x>0 ?	Difficulty: Sub 505 (Easy), Absolute Values, Inequalities, Source: Math Revolution
2	For which of the following values of n is (100+n)/n NOT an	Difficulty: Sub 505 (Easy), Arithmetic, Multiples and Factors, Number Properties, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11
3	If (7^(3/4))^n = 7, what is the value of n?	Difficulty: Sub 505 (Easy), Algebra, Exponents, Source: Official Guide, Source: OG 10, Source: Quant Review 1st
4	If y = 5x^2 - 2x, and x = 3, then y = ?	Difficulty: Sub 505 (Easy), Arithmetic, Source: 1000 Series
5	The price of a coat in a certain store is $500. If the price of the co	Difficulty: Sub 505 (Easy), Percent and Interest Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016
6	If x = -(2 - 5), then x =	Difficulty: Sub 505 (Easy), Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 1st
7	On 3 sales John has received commissions of $240, $80, and $110, and	Difficulty: Sub 505 (Easy), Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st
8	Which of the following is equivalent to the pair of	Difficulty: Sub 505 (Easy), Inequalities, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2025-2026, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12
9	During a trip that they took together, Carmen, Juan, Maria, a	Difficulty: Sub 505 (Easy), Statistics and Sets Problems, Source: Official Guide, Source: OG 2025-2026, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2026-2027
10	If n is an integer, which of the following must be even?	Difficulty: Sub 505 (Easy), Must or Could be True, Number Properties, Source: 1000 Series, 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
11	If x is an even integer, which of the following is an odd integer?	Difficulty: Sub 505 (Easy), Number Properties, Source: 1000 Series, Source: Official Guide (Pre-2000), Source: OG 1988
12	If x = -1, then -(x^4 + x^3 + x^2 + x) =	Difficulty: Sub 505 (Easy), Algebra, Arithmetic, Source: 1000 Series, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st
13	If the sum of 5, 8, 12, and 15 is equal to the sum of 3, 4, x, and x +	Difficulty: Sub 505 (Easy), Algebra, Source: GMAT Prep (Classic), Source: EA, Source: Official Guide, Source: OG 12
14	(1/2+1/3)/(1/4) =	Difficulty: Sub 505 (Easy), Arithmetic, Fractions and Ratios, Source: 1000 Series, Source: Official Guide, Source: OG 10, Source: Quant Review 1st
15	If \|A\| > 19, which of the following could NOT be equal to A ?	Difficulty: Sub 505 (Easy), Absolute Values, Inequalities, Source: Manhattan GMAT
16	Working at a constant rate, a copy machine makes 20 copies of a one-pa	Difficulty: Sub 505 (Easy), Work and Rate Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019
17	A bakery opened yesterday with its daily supply of 40 dozen	Difficulty: Sub 505 (Easy), Word Problems, Source: 1000 Series, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11
18	If x is positive and the distance between -7 and 0 is equal to the di	Difficulty: Sub 505 (Easy), Absolute Values, Source: Math Revolution
19	If x/y = 1, what is the value of \|x\| - \|y\|?	Difficulty: Sub 505 (Easy), Absolute Values, Source: GMAT Club Tests
20	The ratio 2 to 1/3 is equal to the ratio	Difficulty: Sub 505 (Easy), Fractions and Ratios, Source: 1000 Series, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11
21	What is 45 percent of 7/12 of 240 ?	Difficulty: Sub 505 (Easy), Arithmetic, Percent and Interest Problems, Source: 1000 Series, Source: Official Guide, Source: OG 10
22	If the population of a certain country increases at the rate of one	Difficulty: Sub 505 (Easy), Word Problems, Source: 1000 Series, Source: Official Guide, Source: OG 10
23	Bob drives at an average rate of 50 mph from Berkeley to Los Angeles,	Difficulty: Sub 505 (Easy), Distance and Speed Problems, Source: Magoosh
24	If it is assumed that 60 percent of those who receive a questionnaire	Difficulty: Sub 505 (Easy), Percent and Interest Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016
25	What number when multiplied by 4/7 yields 6/7 as the result?	Difficulty: Sub 505 (Easy), Arithmetic, Source: 1000 Series, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st
26	The number 2 - 0.5 is how many times the number 1 - 0.5?	Difficulty: Sub 505 (Easy), Algebra, Source: 1000 Series, 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
27	In the equation above, k is a constant. If y = 17 when x = 2, what is	Difficulty: Sub 505 (Easy), Algebra, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12
28	If 2/(1+2/y)=1, then y =	Difficulty: Sub 505 (Easy), Arithmetic, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10
29	The table shows a summary of the ticket sales from four performances o	Difficulty: Sub 505 (Easy), Arithmetic, Graphs and Illustrations, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019
30	What is the value of x^2yz xyz^2, if x = 2, y = 1, and z = 3?	Difficulty: Sub 505 (Easy), Algebra, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016
31	If the tick marks on the number line shown are equally spaced, what is	Difficulty: Sub 505 (Easy), Graphs and Illustrations, Source: GMAT Prep (Classic)
32	If Albert can travel 200 miles in 4 hours, how many hours will it take	Difficulty: Sub 505 (Easy), Distance and Speed Problems, Source: Princeton Review
33	The sum S of the first n consecutive positive even integers is given	Difficulty: Sub 505 (Easy), Arithmetic, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019
34	In the xy-coordinate plane, if the point (0,2) lies on the graph of th	Difficulty: Sub 505 (Easy), Coordinate Plane, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019
35	x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v	Difficulty: Sub 505 (Easy), Algebra, Source: GMAT Prep (Classic)
36	1/2/(1/4 + 1/6) =	Difficulty: Sub 505 (Easy), Arithmetic, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10
37	7/(1/5) + 5/(1/7) =	Difficulty: Sub 505 (Easy), Arithmetic, Fractions and Ratios, Source: 1000 Series, Source: Official Guide, Source: OG 12, Source: OG 11
38	If x + 5y = 16 and x = -3y	Difficulty: Sub 505 (Easy), Algebra, Source: 1000 Series, Source: Official Guide, Source: OG 11, Source: OG 10
39	Each week, a clothing salesperson receives a commission equal	Difficulty: Sub 505 (Easy), Word Problems, Source: Official Guide, Source: OG 2025-2026, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2026-2027
40	In the figure above, the coordinates of point V are	Difficulty: Sub 505 (Easy), Coordinate Plane, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10
41	Kelly and Chris packed several boxes with books. If Chris packed 60 pe	Difficulty: Sub 505 (Easy), Fractions and Ratios, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10
42	If x books cost $5 each and y books cost $8 each, then the average	Difficulty: Sub 505 (Easy), Fractions and Ratios, Source: 1000 Series, Source: Official Guide, Source: OG 10
43	If x + y = 7 and x – y = 3, then x^2 - y^2 =	Difficulty: Sub 505 (Easy), Algebra, Source: Manhattan GMAT
44	Which of the following is equal to 85 percent of 160?	Difficulty: Sub 505 (Easy), Percent and Interest Problems, Source: 1000 Series, Source: Official Guide (Pre-2000), Source: OG 1988
45	Which of the following is equal to x^18 for all positive values of x ?	Difficulty: Sub 505 (Easy), Exponents, Source: GMAT Prep (Classic), Source: Official Guide, Source: OG 10, Source: Quant Review 1st
46	What is the median of the numbers shown?	Difficulty: Sub 505 (Easy), Statistics and Sets Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019
47	If m is an integer such that (-2)^2m = 2^{9 - m}, then m=	Difficulty: Sub 505 (Easy), Exponents, Source: 1000 Series, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st
48	Which of the following fractions is equal to 0.16?	Difficulty: Sub 505 (Easy), Fractions and Ratios, Source: 1000 Series, Source: GMAT Paper Tests
49	A retail appliance store priced a video recorder at 20 percent above	Difficulty: Sub 505 (Easy), Percent and Interest Problems, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 11
50	A souvenir vendor purchased 1,000 shirts for a special event at a pric	Difficulty: Sub 505 (Easy), Word Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019
51	If x/y = 2, then (x-y)/y =	Difficulty: Sub 505 (Easy), Algebra, Source: Official Guide (Pre-2000), Source: OG 1988
52	What is the remainder when 337 is divided by 10	Difficulty: Sub 505 (Easy), Arithmetic, Remainders, Source: GMAT Ninja, Source: Ukraine Marathon
53	A certain method for calculating pediatric drug dosages states that if	Difficulty: Sub 505 (Easy), Arithmetic, Word Problems, Source: Official Guide, Source: OG 2025-2026, Source: OG 2024-2025, Source: OG 2026-2027
54	150 is what percent of 30 ?	Difficulty: Sub 505 (Easy), Percent and Interest Problems, Source: 1000 Series, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11
55	If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is	Difficulty: Sub 505 (Easy), Fractions and Ratios, Mixture Problems, Source: Official Guide
56	Company C produces toy trucks at a cost of $5.00 each for the first 10	Difficulty: Sub 505 (Easy), Word Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016
57	If x > 0 and x^2 = 161, what is the best whole number approximation of	Difficulty: Sub 505 (Easy), Inequalities, Source: Official Guide (Pre-2000), Source: OG 1988
58	If n is a prime number greater than 3, what is the remainder when n^2	Difficulty: Sub 505 (Easy), Remainders, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12
59	If x is negative and y is positive, which of the following must be	Difficulty: Sub 505 (Easy), Number Properties, Source: Princeton Review
60	A certain restaurant that regularly advertises through the mail has	Difficulty: Sub 505 (Easy), Arithmetic, Word Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019
61	While a family was away on vacation, they paid a neighborhood boy $11	Difficulty: Sub 505 (Easy), Word Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019
62	A certain machine produces 1,000 units of product P per hour. Working	Difficulty: Sub 505 (Easy), Work and Rate Problems, Source: GMAT Prep (Classic)
63	For which of the following values of s is (50+s)s an integer?	Difficulty: Sub 505 (Easy), Number Properties, Source: Veritas Prep
64	A certain club has 237 local branches, one national office, and one so	Difficulty: Sub 505 (Easy), Word Problems, Source: 1000 Series
65	If the probability that event S will not occur is 1 - y, then the prob	Difficulty: Sub 505 (Easy), Probability, Source: GMAT Prep (Classic)
66	If x is a positive integer and 4^x 3 = y, which of the following CAN	Difficulty: Sub 505 (Easy), Algebra, Exponents, Source: Official Guide, Source: OG 2025-2026, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2026-2027
67	The average (arithmetic mean) of 6,8, and 10 equals the average	Difficulty: Sub 505 (Easy), Statistics and Sets Problems, Source: 1000 Series, Source: Official Guide, Source: OG 11, Source: OG 10
68	If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0	Difficulty: Sub 505 (Easy), Arithmetic, Source: Grockit
69	1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =	Difficulty: Sub 505 (Easy), Arithmetic, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016
70	\|−4\|(\|−20\| − \|5\|) =	Difficulty: Sub 505 (Easy), Absolute Values, Arithmetic, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019
71	If \|x - y\| = 0, what is the value of \|x\| - \|y\|?	Difficulty: Sub 505 (Easy), Absolute Values, Source: GMAT Club Tests
72	If f = 3r(s/1000)^2 and s = 2000, what is r in terms of f ?	Difficulty: Sub 505 (Easy), Algebra, Source: Official Guide, Source: OG 2025-2026, Source: OG 2026-2027
73	Last fall, 40 percent of the students at a certain high school partici	Difficulty: Sub 505 (Easy), Overlapping Sets, Source: GMAT Prep (Classic)
74	As a salesperson, Phyllis can choose one of two methods of annual paym	Difficulty: Sub 505 (Easy), Word Problems, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2025-2026, Source: OG 2022, Source: OG 10, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st, Source: OG 2026-2027
75	A box contains 25 red blacks, 100 blue blocks, and 175 yellow blocks.	Difficulty: Sub 505 (Easy), Probability, Source: GMAT Prep (Classic)
76	There is a total of 120 marbles in a box, each of which is red, green,	Difficulty: Sub 505 (Easy), Probability, Source: 1000 Series, Source: GMAT Paper Tests
77	If Mario was 32 years old 8 years ago, how old was he x year	Difficulty: Sub 505 (Easy), Arithmetic, Source: 1000 Series, 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
78	1/(1+1/3)-1/(1+1/2)	Difficulty: Sub 505 (Easy), Arithmetic, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12
79	If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?	Difficulty: Sub 505 (Easy), Algebra, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11
80	A committee is composed of w women and m men. If 3 women and	Difficulty: Sub 505 (Easy), Probability, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10
81	A student’s average (arithmetic mean) test score on 4 tests is 80. Wh	Difficulty: Sub 505 (Easy), Arithmetic, Number Properties, Source: OG 12
82	Which of the following must be equal to (x^6)(x^4) ?	Difficulty: Sub 505 (Easy), Exponents, Source: GMAT Prep (Classic)
83	If x and y are integers between 0 and 9, inclusive, and the units digi	Difficulty: Sub 505 (Easy), Inequalities, Number Properties, Source: Manhattan GMAT
84	0.1 + 0.1^2 + 0.1^3 =	Difficulty: Sub 505 (Easy), Arithmetic, Exponents, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11
85	If x is an integer, which of the following must be an odd integer?	Difficulty: Sub 505 (Easy), Number Properties, Source: GMAT Prep (Classic)
86	For the inequalities above, what is the maximum possible value of P +	Difficulty: Sub 505 (Easy), Arithmetic, Inequalities, Min-Max Problems, Source: GMAT Prep (Classic)
87	If 6 < 2x - 4 < 12, which of the following could be a value of x?	Difficulty: Sub 505 (Easy), Inequalities, Source: Manhattan GMAT
88	In the figure above, the sum of the three numbers in the hor	Difficulty: Sub 505 (Easy), Arithmetic, Source: 1000 Series, Source: Official Guide, Source: OG 10, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st
89	A fruit-salad mixture consists of apples, peaches, and grape	Difficulty: Sub 505 (Easy), Fractions and Ratios, Word Problems, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10
90	For all real numbers a, b, c, d, e, and f, the operation Θ is defined	Difficulty: Sub 505 (Easy), Arithmetic, Functions and Custom Characters, Source: Official Guide, Source: OG 2025-2026, Source: OG 2022, Source: OG 2021, Source: OG 2026-2027
91	Which of the following has a value less than 1?	Difficulty: Sub 505 (Easy), Arithmetic, Source: Official Guide, Source: OG 11
92	The 180 students in a group are to be seated in rows so that	Difficulty: Sub 505 (Easy), Multiples and Factors, Source: 1000 Series, Source: GMAT Prep (Classic)
93	A certain builder is selling five homes for the following	Difficulty: Sub 505 (Easy), Statistics and Sets Problems, Source: GMAT Prep (Classic)
94	At the opening of a trading day at a certain stock exchange, the price	Difficulty: Sub 505 (Easy), Percent and Interest Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016
95	If -3 is 6 more than x, what is the value of x/3?	Difficulty: Sub 505 (Easy), Algebra, Source: GMAT Prep (Classic), Source: Official Guide, Source: OG 10, Source: Quant Review 1st
96	If x = kc and y = kt, then y - x = ?	Difficulty: Sub 505 (Easy), Algebra, Source: GMAT Prep (Classic)
97	(x + 3y)^2	Difficulty: Sub 505 (Easy), Algebra, Source: 1000 Series, Source: GMAT Paper Tests
98	If the relations shown hold for the operation ⊕ and the numbers m, n,	Difficulty: Sub 505 (Easy), Functions and Custom Characters, Source: Official Guide, Source: OG 2025-2026, Source: OG 2022, Source: OG 2021, Source: OG 2026-2027
99	If a quality control check is made inspecting a sample of 2	Difficulty: Sub 505 (Easy), Combinations, Source: GMAT Prep (Classic)
100	If a#b = ab – b + b^2, then 3#5 =	Difficulty: Sub 505 (Easy), Algebra, Functions and Custom Characters, Source: 800 Score

Bunuel · Answer

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.

Bunuel · Answer

Older version of this topic with 100 hardest questions is  HERE .

hffballer · Answer

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?

bb · Answer

Difficulty calculation has been improved - we have removed unknown and questionable sources with only reliable questions now in this list. 💪

Posted from my mobile device

chai9944 · Answer

Currently Im somewhere in between 515-555... Can I get questions in the range of 605 - 645?

Bunuel · Answer

You can apply necessary difficulty filter in the forums: https://gmatclub.com/forum/download/file.php?id=83225 GMAT-Club-Forum-jh8c2hbl.png

Shashankksharma · Answer

Thankyou so much fir these resources...

hicarchitecto · Answer

Hi BB can we include medium level as well in this set.. we can solve all at one place

Bunuel · Answer

You can check all difficulty level questions here all apply filters in the forum: https://gmatclub.com/forum/download/file.php?id=88760 GMAT-Club-Forum-hi4bugz0.png

100 Hardest and easiest questions for PS as of June 2026

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GMAT Problem Solving (PS) Questions

100 Hardest and easiest questions for PS as of June 2026

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards