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100 Hardest Problem Solving Questions (Oct 1st, 2025 - Nov 1st, 2025)
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 (Oct 1st, 2025 - Nov 1st, 2025)
Are you familiar with the GMAT Club's timer?We have pulled timer results from our database and analyzed every question in the forum. Based on those results, we have compiled a list of the easiest questions in each of the question forums we have. Below I am presenting to you the top 100 questions from PS forum.
| Problem Solving (PS) | ||
| Rank | Title | Topics |
| 1 | For which of the following values of n is (100+n)/n NOT an | Difficulty: Sub 505 Level, Arithmetic, Multiples and Factors, Number Properties, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 2 | For which of the following x is |x|+x>0 ? | Difficulty: Sub 505 Level, Absolute Values, Inequalities, Source: Math Revolution |
| 3 | If (7^(3/4))^n = 7, what is the value of n? | Difficulty: Sub 505 Level, 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 Level, 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 Level, 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 | On 3 sales John has received commissions of $240, $80, and $110, and | Difficulty: Sub 505 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st |
| 7 | If n is an integer, which of the following must be even? | Difficulty: Sub 505 Level, Must or Could be True Questions, 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 |
| 8 | Which of the following is equivalent to the pair of | Difficulty: Sub 505 Level, Inequalities, Source: GMAT Paper Tests, 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 2025-2026 |
| 9 | If |A| > 19, which of the following could NOT be equal to A ? | Difficulty: Sub 505 Level, Absolute Values, Inequalities, Source: Manhattan GMAT |
| 10 | During a trip that they took together, Carmen, Juan, Maria, a | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2025-2026 |
| 11 | Working at a constant rate, a copy machine makes 20 copies of a one-pa | Difficulty: Sub 505 Level, Work and Rate Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019 |
| 12 | If x = -1, then -(x^4 + x^3 + x^2 + x) = | Difficulty: Sub 505 Level, 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 Level, Algebra, Source: GMAT Prep (Classic), Source: Official Guide, Source: EA, Source: OG 12 |
| 14 | If x = -(2 - 5), then x = | Difficulty: Sub 505 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 1st |
| 15 | A bakery opened yesterday with its daily supply of 40 dozen | Difficulty: Sub 505 Level, Word Problems, Source: 1000 Series, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 16 | If x is an even integer, which of the following is an odd integer? | Difficulty: Sub 505 Level, Number Properties, Source: 1000 Series, Source: Official Guide (Pre-2000), Source: OG 1988 |
| 17 | If the population of a certain country increases at the rate of one | Difficulty: Sub 505 Level, Word Problems, Source: 1000 Series, Source: Official Guide, Source: OG 10 |
| 18 | (1/2+1/3)/(1/4) = | Difficulty: Sub 505 Level, Arithmetic, Fractions and Ratios, Source: 1000 Series, Source: Official Guide, Source: OG 10, Source: Quant Review 1st |
| 19 | The ratio 2 to 1/3 is equal to the ratio | Difficulty: Sub 505 Level, Fractions and Ratios, Source: 1000 Series, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 20 | If it is assumed that 60 percent of those who receive a questionnaire | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 |
| 21 | What number when multiplied by 4/7 yields 6/7 as the result? | Difficulty: Sub 505 Level, Arithmetic, Source: 1000 Series, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st |
| 22 | What is 45 percent of 7/12 of 240 ? | Difficulty: Sub 505 Level, Arithmetic, Percent and Interest 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 Level, Distance and Speed Problems, Source: Magoosh |
| 24 | The number 2 - 0.5 is how many times the number 1 - 0.5? | Difficulty: Sub 505 Level, 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 |
| 25 | If 2/(1+2/y)=1, then y = | Difficulty: Sub 505 Level, Arithmetic, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 |
| 26 | In the equation above, k is a constant. If y = 17 when x = 2, what is | Difficulty: Sub 505 Level, 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 |
| 27 | The table shows a summary of the ticket sales from four performances o | Difficulty: Sub 505 Level, Arithmetic, Graphs and Illustrations, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 28 | x=(1/4)sv^2 In the formula shown, if x/s = 25 and v > 0, what is the v | Difficulty: Sub 505 Level, Algebra, Source: GMAT Prep (Classic) |
| 29 | What is the value of x^2yz xyz^2, if x = 2, y = 1, and z = 3? | Difficulty: Sub 505 Level, 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 |
| 30 | In the xy-coordinate plane, if the point (0,2) lies on the graph of th | Difficulty: Sub 505 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 31 | If Albert can travel 200 miles in 4 hours, how many hours will it take | Difficulty: Sub 505 Level, Distance and Speed Problems, Source: Princeton Review |
| 32 | If x + 5y = 16 and x = -3y | Difficulty: Sub 505 Level, Algebra, Source: 1000 Series, Source: Official Guide, Source: OG 11, Source: OG 10 |
| 33 | Each week, a clothing salesperson receives a commission equal | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2025-2026 |
| 34 | The sum S of the first n consecutive positive even integers is given | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019 |
| 35 | 1/2/(1/4 + 1/6) = | Difficulty: Sub 505 Level, Arithmetic, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10 |
| 36 | 7/(1/5) + 5/(1/7) = | Difficulty: Sub 505 Level, Arithmetic, Fractions and Ratios, Source: 1000 Series, Source: Official Guide, Source: OG 12, Source: OG 11 |
| 37 | Kelly and Chris packed several boxes with books. If Chris packed 60 pe | Difficulty: Sub 505 Level, Fractions and Ratios, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10 |
| 38 | If the tick marks on the number line shown are equally spaced, what is | Difficulty: Sub 505 Level, Graphs and Illustrations, Source: GMAT Prep (Classic) |
| 39 | In the figure above, the coordinates of point V are | Difficulty: Sub 505 Level, Coordinate Geometry, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 |
| 40 | If m is an integer such that (-2)^2m = 2^{9 - m}, then m= | Difficulty: Sub 505 Level, Exponents, Source: 1000 Series, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st |
| 41 | If x books cost $5 each and y books cost $8 each, then the average | Difficulty: Sub 505 Level, Fractions and Ratios, Source: 1000 Series, Source: Official Guide, Source: OG 10 |
| 42 | A retail appliance store priced a video recorder at 20 percent above | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 11 |
| 43 | Which of the following is equal to x^18 for all positive values of x ? | Difficulty: Sub 505 Level, Exponents, Source: GMAT Prep (Classic), Source: Official Guide, Source: OG 10, Source: Quant Review 1st |
| 44 | If n is a prime number greater than 3, what is the remainder when n^2 | Difficulty: Sub 505 Level, 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 |
| 45 | What is the median of the numbers shown? | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 46 | If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is | Difficulty: Sub 505 Level, Fractions and Ratios, Mixture Problems, Source: Official Guide |
| 47 | A souvenir vendor purchased 1,000 shirts for a special event at a pric | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019 |
| 48 | If x + y = 7 and x – y = 3, then x^2 - y^2 = | Difficulty: Sub 505 Level, Algebra, Source: Manhattan GMAT |
| 49 | Which of the following is equal to 85 percent of 160? | Difficulty: Sub 505 Level, Percent and Interest Problems, Source: 1000 Series, Source: Official Guide (Pre-2000), Source: OG 1988 |
| 50 | 150 is what percent of 30 ? | Difficulty: Sub 505 Level, 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 |
| 51 | If x/y = 2, then (x-y)/y = | Difficulty: Sub 505 Level, Algebra, Source: Official Guide (Pre-2000), Source: OG 1988 |
| 52 | If x/y = 1, what is the value of |x| - |y|? | Difficulty: Sub 505 Level, Absolute Values, Source: GMAT Club Tests |
| 53 | If x is negative and y is positive, which of the following must be | Difficulty: Sub 505 Level, Number Properties, Source: Princeton Review |
| 54 | If x > 0 and x^2 = 161, what is the best whole number approximation of | Difficulty: Sub 505 Level, Inequalities, Source: Official Guide (Pre-2000), Source: OG 1988 |
| 55 | A certain restaurant that regularly advertises through the mail has | Difficulty: Sub 505 Level, Arithmetic, Word Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 56 | Company C produces toy trucks at a cost of $5.00 each for the first 10 | Difficulty: Sub 505 Level, 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 is positive and the distance between -7 and 0 is equal to the di | Difficulty: Sub 505 Level, Absolute Values, Source: Math Revolution |
| 58 | While a family was away on vacation, they paid a neighborhood boy $11 | Difficulty: Sub 505 Level, Word Problems, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019 |
| 59 | If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0 | Difficulty: Sub 505 Level, Arithmetic, Source: Grockit |
| 60 | If x is a positive integer and 4^x 3 = y, which of the following CAN | Difficulty: Sub 505 Level, Algebra, Exponents, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2020, Source: OG 2019, Source: OG 2025-2026 |
| 61 | 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = | Difficulty: Sub 505 Level, Arithmetic, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 |
| 62 | For which of the following values of s is (50+s)s an integer? | Difficulty: Sub 505 Level, Number Properties, Source: Veritas Prep |
| 63 | There is a total of 120 marbles in a box, each of which is red, green, | Difficulty: Sub 505 Level, Probability, Source: 1000 Series, Source: GMAT Paper Tests |
| 64 | Which of the following fractions is equal to 0.16? | Difficulty: Sub 505 Level, Fractions and Ratios, Source: 1000 Series, Source: GMAT Paper Tests |
| 65 | A certain machine produces 1,000 units of product P per hour. Working | Difficulty: Sub 505 Level, Work and Rate Problems, Source: GMAT Prep (Classic) |
| 66 | Last fall, 40 percent of the students at a certain high school partici | Difficulty: Sub 505 Level, Overlapping Sets, Source: GMAT Prep (Classic) |
| 67 | If the probability that event S will not occur is 1 - y, then the prob | Difficulty: Sub 505 Level, Probability, Source: GMAT Prep (Classic) |
| 68 | The average (arithmetic mean) of 6,8, and 10 equals the average | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: 1000 Series, Source: Official Guide, Source: OG 11, Source: OG 10 |
| 69 | |−4|(|−20| − |5|) = | Difficulty: Sub 505 Level, Absolute Values, Arithmetic, Source: Official Guide, Source: Quant Review 2022, Source: Quant Review 2021, Source: Quant Review 2020, Source: Quant Review 2019 |
| 70 | The 180 students in a group are to be seated in rows so that | Difficulty: Sub 505 Level, Multiples and Factors, Source: 1000 Series, Source: GMAT Prep (Classic) |
| 71 | A certain builder is selling five homes for the following | Difficulty: Sub 505 Level, Statistics and Sets Problems, Source: GMAT Prep (Classic) |
| 72 | As a salesperson, Phyllis can choose one of two methods of annual paym | Difficulty: Sub 505 Level, Word Problems, Source: 1000 Series, 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, Source: OG 2025-2026 |
| 73 | If Mario was 32 years old 8 years ago, how old was he x year | Difficulty: Sub 505 Level, 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 |
| 74 | 0.1 + 0.1^2 + 0.1^3 = | Difficulty: Sub 505 Level, Arithmetic, Exponents, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 75 | If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? | Difficulty: Sub 505 Level, 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 |
| 76 | Which of the following must be equal to (x^6)(x^4) ? | Difficulty: Sub 505 Level, Exponents, Source: GMAT Prep (Classic) |
| 77 | A box contains 25 red blacks, 100 blue blocks, and 175 yellow blocks. | Difficulty: Sub 505 Level, Probability, Source: GMAT Prep (Classic) |
| 78 | If |x - y| = 0, what is the value of |x| - |y|? | Difficulty: Sub 505 Level, Absolute Values, Source: GMAT Club Tests |
| 79 | A certain method for calculating pediatric drug dosages states that if | Difficulty: Sub 505 Level, Arithmetic, Word Problems, Source: Official Guide, Source: OG 2024-2025, Source: OG 2025-2026 |
| 80 | If 6 < 2x - 4 < 12, which of the following could be a value of x? | Difficulty: Sub 505 Level, Inequalities, Source: Manhattan GMAT |
| 81 | 1/(1+1/3)-1/(1+1/2) | Difficulty: Sub 505 Level, 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 |
| 82 | (0.3)^5/(0.3)^3 | Difficulty: Sub 505 Level, Arithmetic, Exponents, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10 |
| 83 | A committee is composed of w women and m men. If 3 women and | Difficulty: Sub 505 Level, Probability, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 |
| 84 | For all real numbers a, b, c, d, e, and f, the operation Θ is defined | Difficulty: Sub 505 Level, Arithmetic, Functions and Custom Characters, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2025-2026 |
| 85 | At the opening of a trading day at a certain stock exchange, the price | Difficulty: Sub 505 Level, 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 |
| 86 | A fruit-salad mixture consists of apples, peaches, and grape | Difficulty: Sub 505 Level, Fractions and Ratios, Word Problems, Source: 1000 Series, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 |
| 87 | A long-distance telephone company charges a monthly fee of $4.95 plus | Difficulty: Sub 505 Level, Word Problems, Source: GMAT Prep (Classic) |
| 88 | A certain club has 237 local branches, one national office, and one so | Difficulty: Sub 505 Level, Word Problems, Source: 1000 Series |
| 89 | If the ratio of apples to bananas is 4 to 3 and the ratio of bananas | Difficulty: Sub 505 Level, Fractions and Ratios, Source: Kaplan, Source: OG 2015 |
| 90 | If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y? | Difficulty: Sub 505 Level, Algebra, Source: 1000 Series, Source: GMAT Prep (Classic), Source: GMAT Prep (Focus), Source: OG 11, Source: OG 10 |
| 91 | In the figure above, the sum of the three numbers in the hor | Difficulty: Sub 505 Level, 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 |
| 92 | (x + 3y)^2 | Difficulty: Sub 505 Level, Algebra, Source: 1000 Series, Source: GMAT Paper Tests |
| 93 | If the relations shown hold for the operation ⊕ and the numbers m, n, | Difficulty: Sub 505 Level, Functions and Custom Characters, Source: Official Guide, Source: OG 2022, Source: OG 2021, Source: OG 2025-2026 |
| 94 | What is the number of different committees of 4 people that can be sel | Difficulty: Sub 505 Level, Combinations, Source: GMAT Prep (Classic) |
| 95 | For the inequalities above, what is the maximum possible value of P + | Difficulty: Sub 505 Level, Arithmetic, Inequalities, Min-Max Problems, Source: GMAT Prep (Classic) |
| 96 | In the Johnsons' monthly budget, the dollar amounts allocate | Difficulty: Sub 505 Level, Fractions and Ratios, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 |
| 97 | If x = kc and y = kt, then y - x = ? | Difficulty: Sub 505 Level, Algebra, Source: GMAT Prep (Classic) |
| 98 | If p is an even integer and q is an odd integer, which of the followin | Difficulty: Sub 505 Level, Must or Could be True Questions, Number Properties, Source: 1000 Series, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 12, Source: OG 11, Source: OG 10 |
| 99 | A student’s average (arithmetic mean) test score on 4 tests is 80. Wh | Difficulty: Sub 505 Level, Arithmetic, Number Properties, Source: OG 12 |
| 100 | A certain bakery made 3 shipments of 100 doughnuts each. If 17 percent | Difficulty: Sub 505 Level, Word Problems, Source: GMAT Prep (Classic) |
20 May 2016, 01:53
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Check our Questions Bank, where you can find 600-700 level questions. Also, visit our Search Page to filter questions by various categories.
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