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100 Hardest Problem Solving Questions (Apr 1st, 2021  May 1st, 2021)
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.100 Easiest Problem Solving Questions (Apr 1st, 2021  May 1st, 2021)
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: Sub600 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: Sub600 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: Sub600 Level, Percent 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: Sub600 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  On 3 sales John has received commissions of $240, $80, and $110, and  Difficulty: Sub600 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st 
6  If it is assumed that 60 percent of those who receive a questionnaire  Difficulty: Sub600 Level, Percent and Interest Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 
7  A bakery opened yesterday with its daily supply of 40 dozen  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 
8  During a trip that they took together, Carmen, Juan, Maria, a  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 
9  Working at a constant rate, a copy machine makes 20 copies of a onepa  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019 
10  If the population of a certain country increases at the rate  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 10 
11  If x = 1, then (x^4 + x^3 + x^2 + x) =  Difficulty: Sub600 Level, Algebra, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st 
12  In the equation above, k is a constant. If y = 17 when x = 2  Difficulty: Sub600 Level, Algebra, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 
13  The number 2  0.5 is how many times the number 1  0.5?  Difficulty: Sub600 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 
14  The sum S of the first n consecutive positive even integers is given  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019 
15  Rectangular Floors X and Y have equal area. If Floor X is 12  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11 
16  The ratio 2 to 1/3 is equal to the ratio  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 
17  If (7^(3/4))^n = 7, what is the value of n?  Difficulty: Sub600 Level, Algebra, Exponents/Powers, Source: Official Guide, Source: OG 10, Source: Quant Review 1st 
18  The table shows a summary of the ticket sales from four performances o  Difficulty: Sub600 Level, Arithmetic, Graphs and Illustrations, Source: Official Guide, Source: OG 2020, Source: OG 2019 
19  If x is negative and y is positive, which of the following must be  Difficulty: Sub600 Level, Number Properties, Source: Princeton Review 
20  If 2/(1+2/y)=1, then y =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 
21  What number when multiplied by 4/7 yields 6/7 as the result?  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st 
22  Each week, a clothing salesperson receives a commission equal  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 
23  Kelly and Chris packed several boxes with books. If Chris packed 60 pe  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10 
24  (1/2+1/3)/(1/4) =  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: Quant Review 1st 
25  If n is a prime number greater than 3, what is the remainder when n^2  Difficulty: Sub600 Level, Remainders, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 
26  What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3?  Difficulty: Sub600 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 
27  If ab > ab, which of the following must be true?  Difficulty: Sub600 Level, Inequalities, Number Properties, Source: Manhattan GMAT 
28  A rectangular floor that measures 8 meters by 10 meters is to be cover  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 
29  If Albert can travel 200 miles in 4 hours, how many hours will it take  Difficulty: Sub600 Level, Distance/Rate Problems, Source: Princeton Review 
30  For which of the following x is x+x>0 ?  Difficulty: Sub600 Level, Absolute Values/Modulus, Inequalities, Source: Math Revolution 
31  For which of the following values of s is (50+s)s an integer?  Difficulty: Sub600 Level, Arithmetic, Number Properties, Source: Veritas Prep 
32  In the figure above, what is the ratio of the measure of angle B to  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 
33  If x + y = 7 and x – y = 3, then x^2  y^2 =  Difficulty: Sub600 Level, Algebra, Source: Manhattan GMAT 
34  In the figure above, the coordinates of point V are  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 
35  The product P of two prime numbers is between 9 and 55. If one of the  Difficulty: Sub600 Level, Number Properties, Source: GMAT Paper Tests, Source: GMAT Prep 
36  What is the median of the numbers shown?  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 
37  Bob drives at an average rate of 50 mph from Berkeley to Los Angeles,  Difficulty: Sub600 Level, Distance/Rate Problems, Source: Magoosh 
38  150 is what percent of 30 ?  Difficulty: Sub600 Level, Percent and Interest Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 
39  What is 45 percent of 7/12 of 240 ?  Difficulty: Sub600 Level, Arithmetic, Percent and Interest Problems, Source: Official Guide, Source: OG 10 
40  A certain restaurant that regularly advertises through the mail has 1,  Difficulty: Sub600 Level, Arithmetic, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 
41  1/3 +1/2  5/6 + 1/5 + 1/4  9/20 =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 
42  If m is an integer such that (2)^2m = 2^{9  m}, then m=  Difficulty: Sub600 Level, Exponents/Powers, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st 
43  Company C produces toy trucks at a cost of $5.00 each for the first 10  Difficulty: Sub600 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 
44  0.1 + 0.1^2 + 0.1^3 =  Difficulty: Sub600 Level, Arithmetic, Exponents/Powers, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 
45  Coins are dropped into a toll box so that the box is being  Difficulty: Sub600 Level, Geometry, Work/Rate Problems, Source: Official Guide, Source: OG 10 
46  In the xycoordinate plane, if the point (0,2) lies on the graph of th  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2021, Source: OG 2020, Source: OG 2019 
47  If x is an even integer, which of the following is an odd integer?  Difficulty: Sub600 Level, Number Properties, Source: Official Guide [Pre2000], Source: OG 1988 
48  Which of the following is equal to x^18 for all positive values of x ?  Difficulty: Sub600 Level, Exponents/Powers, Source: GMAT Prep, Source: Official Guide, Source: OG 10, Source: Quant Review 1st 
49  If the sum of 5, 8, 12, and 15 is equal to the sum of 3, 4, x, and x +  Difficulty: Sub600 Level, Algebra, Source: GMAT Prep, Source: Official Guide, Source: EA, Source: OG 12 
50  If (5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ?  Difficulty: Sub600 Level, Exponents/Powers, Source: Grockit 
51  If A > 19, which of the following could NOT be equal to A ?  Difficulty: Sub600 Level, Absolute Values/Modulus, Inequalities, Source: Manhattan GMAT 
52  If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Mixture Problems, Source: Official Guide 
53  If p is an even integer and q is an odd integer, which of the followin  Difficulty: Sub600 Level, Must or Could be True Questions, Number Properties, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10 
54  If x is a positive integer and 4^x – 3 = y, which of the following CAN  Difficulty: Sub600 Level, Algebra, Exponents/Powers, Source: Official Guide, Source: OG 2020, Source: OG 2019 
55  A bag contains 7 red, 9 yellow, and 3 black balls. If a ball is pick  Difficulty: Sub600 Level, Combinations, Source: Other  Please specify 
56  If Mario was 32 years old 8 years ago, how old was he x year  Difficulty: Sub600 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 
57  A certain machine produces 1,000 units of product P per hour. Working  Difficulty: Sub600 Level, Work/Rate Problems, Source: GMAT Prep 
58  If a rectangular photograph that Is 10 inches wide by 15 inches long I  Difficulty: Sub600 Level, Geometry, Word Problems, Source: Official Guide, Source: OG 10 
59  While a family was away on vacation, they paid a neighborhood boy $11  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 
60  John is traveling to a meeting that is 28 miles away. He nee  Difficulty: Sub600 Level, Distance/Rate Problems, Source: Other  Please specify 
61  x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v  Difficulty: Sub600 Level, Algebra, Source: GMAT Prep 
62  The ratio of the length to the width of a rectangular advert  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 
63  −4(−20 − 5) =  Difficulty: Sub600 Level, Absolute Values/Modulus, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019 
64  A fruitsalad mixture consists of apples, peaches, and grape  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 
65  What is 3/5 of 5/8 of 2/3?  Difficulty: Sub600 Level, Arithmetic, Source: Manhattan GMAT 
66  A souvenir vendor purchased 1,000 shirts for a special event at a pric  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019 
67  1/(1+1/3)1/(1+1/2)  Difficulty: Sub600 Level, Arithmetic, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 
68  If x + 5y = 16 and x = 3y  Difficulty: Sub600 Level, Algebra, Source: Official Guide, Source: OG 11, Source: OG 10 
69  In the Johnsons' monthly budget, the dollar amounts allocate  Difficulty: Sub600 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 
70  A certain builder is selling five homes for the following  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: GMAT Prep 
71  The amounts of time that three secretaries worked on a  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10 
72  30^10/150^5 = ?  Difficulty: Sub600 Level, Exponents/Powers, Source: Math Revolution 
73  The product X of two prime numbers is between 17 and 55. If  Difficulty: Sub600 Level, Number Properties, Source: GMAT Pill 
74  A retail appliance store priced a video recorder at 20 percent above  Difficulty: Sub600 Level, Percent and Interest Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 11 
75  In the figure shown, what is the value of x ?  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019 
76  A technician makes a roundtrip to and from a certain service center b  Difficulty: Sub600 Level, Percent and Interest Problems, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 
77  If p/q < 1, and p and q are positive integers, which of the  Difficulty: Sub600 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 
78  A gym class can be divided into 8 teams with an equal number  Difficulty: Sub600 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 
79  Of the final grades received by the students in a certain  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 
80  The 180 students in a group are to be seated in rows so that  Difficulty: Sub600 Level, Divisibility/Multiples/Factors, Source: GMAT Prep 
81  If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?  Difficulty: Sub600 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 
82  Running at the same rate, 8 identical machines can produce 560 papercl  Difficulty: Sub600 Level, Work/Rate Problems, Source: Magoosh 
83  If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0  Difficulty: Sub600 Level, Arithmetic, Source: Grockit 
84  As a salesperson, Phyllis can choose one of two methods of annual paym  Difficulty: Sub600 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2022, Source: OG 10, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st 
85  Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017 
86  (2+2 * sqrt (6) )/2  Difficulty: Sub600 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 
87  Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  Difficulty: Sub600 Level, Distance/Rate Problems, Source: Manhattan GMAT 
88  If the figure provided is drawn to scale, which of the following point  Difficulty: Sub600 Level, Absolute Values/Modulus, Source: Grockit 
89  Three business partners, Q, R, and S, agree to divide their  Difficulty: Sub600 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 
90  If x is 20 percent greater than 88, then x =  Difficulty: Sub600 Level, Percent and Interest Problems, Source: Other  Please specify 
91  A rectangular garden is to be twice as long as it is wide.  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015 
92  Running at the same constant rate, 6 identical machines can  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 
93  4 (205)= ?  Difficulty: Sub600 Level, Absolute Values/Modulus, Arithmetic 
94  There is a total of 120 marbles in a box, each of which is red, green,  Difficulty: Sub600 Level, Probability, Source: GMAT Paper Tests 
95  If x > 0 and x^2 = 161, what is the best whole number approximation of  Difficulty: Sub600 Level, Inequalities, Source: Official Guide [Pre2000], Source: OG 1988 
96  The sum of the weekly salaries of 5 employees is $3,250. If each of th  Difficulty: Sub600 Level, Percent and Interest Problems, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018 
97  If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  Difficulty: Sub600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st 
98  A certain type of concrete mixture is to be made of cement, sand and g  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Mixture Problems, Source: Official Guide [Pre2000], Source: OG 1988 
99  (1/2  1/3) + (1/3  1/4) + (1/4  1/5) + (1/5  1/6) =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 2020, Source: OG 2019 
100  If x > y and a > b, which of the following must be true?  Difficulty: Sub600 Level, Inequalities, Source: Other  Please specify 

