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100 Hardest and easiest questions for PS
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 Updated on: 01 Feb 2019, 04:45
100 Hardest Problem Solving Questions (Jan 1st, 2019 - Feb 1st, 2019) Are you familiar with the GMAT Club's timer?We have pulled timer results from our database and analyzed every question in the forum. Based on those results, we have compiled a list of the hardest questions in each of the question forums we have. Below I am presenting to you the top 100 questions from PS forum. | Problem Solving (PS) | | Rank | Title | Topics | | 1 | During the month of April, the average temperatures on day n | Difficulty: 700-Level, Absolute Values/Modulus, Arithmetic, Coordinate Geometry, Inequalities, Must or Could be True Questions, Sequences, Word Problems | | 2 | An isosceles triangle with one angle of 120° is inscribed in | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 3 | In the figure, point D divides side BC of triangle ABC into segments | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 4 | If two integers are chosen at random out of the set {2, 5, 7, 8}, what | Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT | | 5 | The sum of four consecutive odd numbers is equal to the sum | Difficulty: 700-Level, Sequences | | 6 | If the product of all the unique positive divisors of n, a positive in | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT | | 7 | In the x-y plane, point (p, q) is a lattice point if both p | Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Magoosh | | 8 | Daniel is playing a dice game in which a dice is rolled 5 times | Difficulty: 700-Level, Probability, Source: Other - Please specify | | 9 | A list of numbers has six positive integers. Three of those integers | Difficulty: 700-Level, Statistics and Sets Problems, Source: Veritas Prep | | 10 | Arrow AB which is a line segment exactly 5 units along with | Difficulty: 700-Level, Coordinate Geometry, Source: Manhattan GMAT | | 11 | A bus from city M is traveling to city N at a constant speed | Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Club Tests | | 12 | A box contains three pairs of blue gloves and two pairs of | Difficulty: 700-Level, Probability, Source: GMAT Club Tests | | 13 | The function g(x) is defined for integers x such that if x | Difficulty: 700-Level, Algebra, Functions and Custom Characters | | 14 | If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest | Difficulty: 700-Level, Algebra, Divisibility/Multiples/Factors, Number Properties | | 15 | How many integral values of k are possible, if the lines 3x+ | Difficulty: 700-Level, Coordinate Geometry | | 16 | If [3(ab)^3 + 9(ab)^2 – 54ab] / [(a-1)(a + 2)] = 0, and a and b are bo | Difficulty: 700-Level, Algebra, Must or Could be True Questions | | 17 | Twenty meters of wire is available to fence off a flower bed in the | Difficulty: 700-Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor | | 18 | There are 500 cars on a sales lot, all of which have either two doors | Difficulty: 700-Level, Number Properties, Overlapping Sets, Percents and Interest Problems, Source: Magoosh | | 19 | How many even 3 digit integers greater than 700 with distinct non zero | Difficulty: 700-Level, Combinations, Source: Official Guide | | 20 | An integer between 1 and 300, inclusive, is chosen at random | Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT | | 21 | Let a “2-placer” be a terminating decimal, between 0 and 1, for which | Difficulty: 700-Level, Combinations, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT | | 22 | In a certain mathematical activity, we have five cards with five diffe | Difficulty: 700-Level, Combinations, Source: Magoosh | | 23 | If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte | Difficulty: 700-Level, Absolute Values/Modulus, Algebra, Min/Max Problems, Source: Manhattan GMAT | | 24 | How many 4-digit numbers can be formed by using the digits 0 | Difficulty: 700-Level, Combinations | | 25 | What is the probability of getting a sum of 8 or 14 when | Difficulty: 700-Level, Probability | | 26 | A sequence of numbers (geometric sequence) is given by the | Difficulty: 700-Level, Absolute Values/Modulus, Exponents/Powers, Sequences, Source: Grockit | | 27 | On a partly cloudy day, Derek decides to walk back from work | Difficulty: 700-Level, Distance/Rate Problems, Source: Veritas Prep | | 28 | How many numbers that are not divisible by 6 divide evenly | Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT | | 29 | How many values can the integer p=|x+3|-|x-3| assume? | Difficulty: 700-Level, Absolute Values/Modulus | | 30 | In a certain sequence, every term after the first is determi | Difficulty: 700-Level, Sequences, Source: Manhattan GMAT | | 31 | Ms. Barton has four children. You are told correctly that she has at | Difficulty: 700-Level, Probability, Source: GMAT Prep EP1, Source: Manhattan GMAT | | 32 | A customer using a certain telephone calling plan pays a fee | Difficulty: 700-Level, Word Problems, Source: Kaplan | | 33 | How many integers less than 100 have exactly 4 odd factors b | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties | | 34 | A botanist selects n^2 trees on an island and studies (2n + | Difficulty: 700-Level, Remainders, Source: Princeton Review | | 35 | How many different combinations of outcomes can you make by | Difficulty: 700-Level, Combinations | | 36 | Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa | Difficulty: 700-Level, Work/Rate Problems | | 37 | The figure above shows gas mileage at different speeds for all compact | Difficulty: 700-Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other - Please specify | | 38 | The elevator in an eleven-story office building travels at | Difficulty: 700-Level, Distance/Rate Problems | | 39 | A big cube is formed by rearranging the 160 coloured and 56 | Difficulty: 700-Level, Geometry, Percents and Interest Problems | | 40 | If w, x, y and z are integers such that 1 < w ≤ x ≤ y ≤ z and w × x × | Difficulty: 700-Level, Number Properties, Source: Other - Please specify | | 41 | We define f(n) as the highest non-negative integer power of 7 that | Difficulty: 700-Level, Divisibility/Multiples/Factors, Exponents/Powers, Functions and Custom Characters | | 42 | List T consist of 30 positive decimals, none of which is an integer | Difficulty: 700-Level, Min/Max Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015 | | 43 | If a circle passes through points (9,2*sqrt(3)) | Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Other - Please specify | | 44 | How many 2-inch by 3-inch rectangular tiles are required to tile this | Difficulty: 700-Level, Geometry, Source: Other - Please specify | | 45 | Darcy, Gina, Ray and Susan will be the only participants at a meeting. | Difficulty: 700-Level, Probability, Source: Kaplan | | 46 | A cylindrical tank of radius R and height H must be redesign | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 47 | For positive integers k and n, the k-power remainder of n is defined | Difficulty: 700-Level, Min/Max Problems, Number Properties, Remainders, Source: Manhattan GMAT | | 48 | How many different pairs of integers (a, b) exist such that 2 <= a <= | Difficulty: 700-Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT | | 49 | Random Pack 1, Question 3 Three circles with radii... | Difficulty: 700-Level, Geometry, Source: EMPOWERgmat | | 50 | If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of th | Difficulty: 700-Level, Algebra, Source: Math Revolution | | 51 | Set S consists of numbers 2, 3, 6, 48, and 164. Number K is | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Probability | | 52 | Louie takes out a three-month loan of $1000. The lender | Difficulty: 700-Level, Percents and Interest Problems, Source: Magoosh | | 53 | In a certain sequence, each term beyond the second term is equal to th | Difficulty: 700-Level, Sequences, Source: Other - Please specify | | 54 | In the diagram, points A, B, and C are on the diameter of | Difficulty: 700-Level, Geometry, Source: Kaplan | | 55 | If x and y are integers and 2x + 9y = 57, then the least possible valu | Difficulty: 700-Level, Algebra, Source: Veritas Prep | | 56 | Of the three-digit integers greater than 660, how many have | Difficulty: 700-Level, Combinations | | 57 | On the number line shown, the distance between 0 and a . . . | Difficulty: 700-Level, Absolute Values/Modulus, Algebra, Source: e-GMAT | | 58 | What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x | Difficulty: 700-Level, Exponents/Powers, Source: GMATPrepNow | | 59 | Points A and B are 120 km apart. A motorcyclist starts from | Difficulty: 700-Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT | | 60 | A bag contains 3 red and 2 black ball. Another bag contains 4 red and | Difficulty: 700-Level, Probability | | 61 | A set of five positive integers has an arithmetic mean of 150. A parti | Difficulty: 700-Level, Number Properties, Source: Veritas Prep | | 62 | Pam and Robin each roll a pair of fair, six-sided dice. What is the pr | Difficulty: 700-Level, Probability, Source: Veritas Prep | | 63 | The remainder when N is divided by 18 is 16. Given that N is | Difficulty: 700-Level, Remainders | | 64 | A bag contains 10 bulbs and 5 torches, out of which 3 bu | Difficulty: 700-Level, Probability, Source: e-GMAT | | 65 | It takes 6 days for 3 women and 2 men working together to | Difficulty: 700-Level, Work/Rate Problems, Source: 800 Score | | 66 | Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and | Difficulty: 700-Level, Mixture Problems | | 67 | If |12x−5|>|7−6x|, which of the following CANNOT be the | Difficulty: 700-Level, Absolute Values/Modulus, Inequalities, Source: Veritas Prep | | 68 | An escalator moves downward from street level to a subway platform at | Difficulty: 700-Level, Arithmetic, Distance/Rate Problems, Source: Other - Please specify | | 69 | A sheet of paper ABDE is a 12-by-18-inch rectangle, as shown in Figure | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 70 | How many distinct four-digit numbers can be formed by the | Difficulty: 700-Level, Combinations, Source: Magoosh | | 71 | Three men A, B and C working together can do a work in 30 da | Difficulty: 700-Level, Work/Rate Problems | | 72 | The positive value of x that satisfies the equation (1 + 2x) | Difficulty: 700-Level, Algebra, Exponents/Powers, Source: Manhattan GMAT | | 73 | Allen starts from X, goes to Y. At the same time Bob starts from Y and | Difficulty: 700-Level, Distance/Rate Problems, Source: Other - Please specify | | 74 | If a is the sum of x consecutive positive integers. b is the | Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT | | 75 | Set A is composed of nine numbers, labeled A1 through A9. Set B is als | Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT | | 76 | If x is the reciprocal of a positive integer, then the maximum value o | Difficulty: 700-Level, Min/Max Problems, Number Properties, Source: Manhattan GMAT | | 77 | A terrible disease sweeps around the world, luckily only affecting 1 | Difficulty: 700-Level, Probability, Source: Other - Please specify | | 78 | If xy > 0 and (x − 2)(y + 1) < 0, then which of the following must be | Difficulty: 700-Level, Absolute Values/Modulus, Inequalities, Must or Could be True Questions, Source: Veritas Prep | | 79 | Consider a regular polygon of p sides. The number of values | Difficulty: 700-Level, Geometry, Number Properties | | 80 | A not-so-good clockmaker has four clocks on display in the w | Difficulty: 700-Level, Distance/Rate Problems, Source: PowerPrep | | 81 | If a and b are distinct integers and a^b = b^a, how many | Difficulty: 700-Level, Exponents/Powers, Number Properties, Source: Veritas Prep | | 82 | a, b, c, d are positive integers such that exactly one of | Difficulty: 700-Level, Inequalities | | 83 | When the number 777 is divided by the integer N, the remaind | Difficulty: 700-Level, Remainders, Source: 800 Score | | 84 | If integer C is randomly selected from 20 to 99, inclusive. | Difficulty: 700-Level, Divisibility/Multiples/Factors, Probability, Source: Manhattan GMAT | | 85 | 13 students in a class had a medium score 10 and an average score of | Difficulty: 700-Level, Statistics and Sets Problems, Source: Other - Please specify | | 86 | The number 523abc is divisible by 7,8,9. Then what is the | Difficulty: 700-Level, Divisibility/Multiples/Factors | | 87 | What is the last non-zero digit of expression | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Other - Please specify | | 88 | A mixed doubles tennis game is to be played between two team | Difficulty: 700-Level, Combinations | | 89 | If y = |x + 5|-|x - 5|, then y can take how many integer | Difficulty: 700-Level, Absolute Values/Modulus, Source: GMAT Prep | | 90 | How many even integers n, where 100 <= n <= 200, are divisib | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties | | 91 | A certain company plans to sell Product X for p dollars per | Difficulty: 700-Level, Probability | | 92 | A bag contains ten marbles of the same size: 3 are identical green mar | Difficulty: 700-Level, Combinations, Source: Magoosh | | 93 | In a club, 75% of the members are men, and 50% of them are the only... | Difficulty: 700-Level, Combinations, Probability, Source: e-GMAT | | 94 | A fair coin is tossed 6 times. What is the probability of getting no | Difficulty: 700-Level, Probability | | 95 | A picture of an equilateral triangle is reduced by 75 percen | Difficulty: 700-Level, Geometry, Percents and Interest Problems | | 96 | Which of the following is/are true? | Difficulty: 700-Level, Absolute Values/Modulus, Inequalities | | 97 | How many 3-digit integers between 100 and 200 have a digit | Difficulty: 700-Level, Combinations, Source: Kaplan | | 98 | Jerry and Jim run a race of 2000 m. First, Jerry gives Jim | Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Paper Tests | | 99 | 4 individuals arrive separately at an orchestra concert with | Difficulty: 700-Level, Probability, Source: Veritas Prep | | 100 | A railroad worker finds himself trapped inside a tunnel at a point | Difficulty: 700-Level, Algebra, Distance/Rate Problems, Word Problems, Source: Other - Please specify |
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Originally posted by Bunuel on 21 Aug 2015, 02:49.
Last edited by Bunuel on 01 Feb 2019, 04:45, edited 1 time in total.
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Math Expert
Joined: 02 Sep 2009
Posts: 52902
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Re: 100 Hardest and easiest questions for PS
[#permalink]
Show Tags
Updated on: 01 Feb 2019, 04:45
100 Easiest Problem Solving Questions (Jan 1st, 2019 - Feb 1st, 2019) Are you familiar with the GMAT Club's timer?We have pulled timer results from our database and analyzed every question in the forum. Based on those results, we have compiled a list of the easiest questions in each of the question forums we have. Below I am presenting to you the top 100 questions from PS forum. | Problem Solving (PS) | | Rank | Title | Topics | | 1 | For which of the following values of n is (100+n)/n NOT an | Difficulty: Sub-600 Level, Arithmetic, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11 | | 2 | If n is an integer, which of the following must be even? | Difficulty: Sub-600 Level, Must or Could be True Questions, Number Properties, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 3 | The price of a coat in a certain store is $500. If the price of the co | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 4 | In the equation above, k is a constant. If y = 17 when x = 2 | Difficulty: Sub-600 Level, Algebra, Source: GMAT Paper Tests, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 5 | A bakery opened yesterday with its daily supply of 40 dozen | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 6 | If it is assumed that 60 percent of those who receive a questionnaire | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 7 | The ratio 2 to 1/3 is equal to the ratio | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 8 | Which of the following is equivalent to the pair of | Difficulty: Sub-600 Level, Inequalities, Source: GMAT Paper Tests, Source: Official Guide, 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-600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2019 | | 10 | On 3 sales John has received commissions of $240, $80, and $110, and | Difficulty: Sub-600 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st | | 11 | Rectangular Floors X and Y have equal area. If Floor X is 12 | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11 | | 12 | If 2/(1+2/y)=1, then y = | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 13 | The number 2 - 0.5 is how many times the number 1 - 0.5? | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 14 | If the population of a certain country increases at the rate | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 10 | | 15 | The table shows a summary of the ticket sales from four performances o | Difficulty: Sub-600 Level, Arithmetic, Graphs and Illustrations, Source: Official Guide, Source: OG 2019 | | 16 | If x = -1, then -(x^4 + x^3 + x^2 + x) = | Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st | | 17 | What number when multiplied by 4/7 yields 6/7 as the result? | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 18 | If n is a prime number greater than 3, what is the remainder | Difficulty: Sub-600 Level, Remainders, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 19 | Working at a constant rate, a copy machine makes 20 copies of a one-pa | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide, Source: Quant Review 2019 | | 20 | What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3? | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 | | 21 | A certain restaurant that regularly advertises through the mail has 1, | Difficulty: Sub-600 Level, Arithmetic, Word Problems, Source: Official Guide, Source: OG 2019 | | 22 | 150 is what percent of 30 ? | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 23 | If n is a prime number greater than 3, what is the remainder | Difficulty: Sub-600 Level, Number Properties, Source: Official Guide, Source: OG 2015, Source: OG 12 | | 24 | For which of the following values of s is (50+s)s an integer? | Difficulty: Sub-600 Level, Arithmetic, Number Properties, Source: Veritas Prep | | 25 | 0.1 + 0.1^2 + 0.1^3 = | Difficulty: Sub-600 Level, Arithmetic, Exponents/Powers, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 26 | In the figure above, the coordinates of point V are | Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 27 | If m is an integer such that (-2)^2m = 2^{9 - m}, then m= | Difficulty: Sub-600 Level, Exponents/Powers, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st | | 28 | A rectangular floor that measures 8 meters by 10 meters is to be cover | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 29 | Each week, a clothing salesperson receives a commission equal | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 2019 | | 30 | If Mario was 32 years old 8 years ago, how old was he x year | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 31 | The sum S of the first n consecutive positive even integers is given | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2019 | | 32 | 1/(1+1/3)-1/(1+1/2) | Difficulty: Sub-600 Level, Arithmetic, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 33 | The amounts of time that three secretaries worked on a | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10 | | 34 | In the figure above, what is the ratio of the measure of angle B to | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 35 | Kelly and Chris packed several boxes with books. If Chris packed 60 pe | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: GMAT Paper Tests, Source: OG 12, Source: OG 11, Source: OG 10 | | 36 | The ratio of the length to the width of a rectangular advert | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 37 | Of the final grades received by the students in a certain | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 38 | 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 | | 39 | Running at the same rate, 8 identical machines can produce 560 papercl | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Magoosh | | 40 | If x is negative and y is positive, which of the following must be | Difficulty: Sub-600 Level, Number Properties, Source: Princeton Review | | 41 | If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is | Difficulty: Sub-600 Level, Mixture Problems, Source: Official Guide | | 42 | As a salesperson, Phyllis can choose one of two methods of a | Difficulty: Sub-600 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 43 | In the xy-coordinate plane, if the point (0,2) lies on the graph of th | Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2019 | | 44 | If x is a positive integer and 4^x – 3 = y, which of the following CAN | Difficulty: Sub-600 Level, Algebra, Exponents/Powers, Source: Official Guide, Source: OG 2019 | | 45 | A fruit-salad mixture consists of apples, peaches, and grape | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 46 | If x is an even integer, which of the following is an odd integer? | Difficulty: Sub-600 Level, Number Properties, Source: Official Guide [Pre-2000], Source: OG 1988 | | 47 | If |ab| > ab, which of the following must be true? | Difficulty: Sub-600 Level, Inequalities, Number Properties, Source: Manhattan GMAT | | 48 | What is the median of the numbers shown? | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2019 | | 49 | (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 | | 50 | In the Johnsons' monthly budget, the dollar amounts allocate | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 51 | (1/2+1/3)/(1/4) = | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: Quant Review 1st | | 52 | A student's average (arithmetic mean) test score on 4 tests | 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 | | 53 | If f(x)=3x−√x and g(x)=x^2, what is f(g(4))? | Difficulty: Sub-600 Level, Algebra, Functions and Custom Characters, Source: GMAT Club Tests | | 54 | While a family was away on vacation, they paid a neighborhood boy $11 | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: OG 2019 | | 55 | The product X of two prime numbers is between 17 and 55. If | Difficulty: Sub-600 Level, Number Properties, Source: GMAT Pill | | 56 | If 3 - x = 2x - 3, then 4x = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 57 | If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 58 | A rectangular garden is to be twice as long as it is wide. | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015 | | 59 | A gym class can be divided into 8 teams with an equal number | Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 60 | If p/q < 1, and p and q are positive integers, which of the | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Inequalities, Must or Could be True Questions, Number Properties, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 61 | A certain builder is selling five homes for the following | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: GMAT Prep | | 62 | (2 3/5 - 1 2/3)/(2/3 - 3/5) | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 63 | Company C produces toy trucks at a cost of $5.00 each for the first 10 | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016 | | 64 | A technician makes a round-trip to and from a certain service center b | Difficulty: Sub-600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017 | | 65 | John is traveling to a meeting that is 28 miles away. He nee | Difficulty: Sub-600 Level, Distance/Rate Problems | | 66 | If f(x)= 5x^3- 2x+8 and g(y)= 6y-4, then g(f(x)) = | Difficulty: Sub-600 Level, Algebra, Functions and Custom Characters, Source: 800 Score | | 67 | 1/(3-1/(3-1/(3-1)))= | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd | | 68 | If the figure provided is drawn to scale, which of the following point | Difficulty: Sub-600 Level, Absolute Values/Modulus, Source: Grockit | | 69 | Running at the same constant rate, 6 identical machines can | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 70 | If O is the center of the circle above, what fraction of the circular | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 71 | If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? | Difficulty: Sub-600 Level, Algebra, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 72 | If (-5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ? | Difficulty: Sub-600 Level, Exponents/Powers, Source: Grockit | | 73 | |−4|(|−20| − |5|) = | Difficulty: Sub-600 Level, Absolute Values/Modulus, Arithmetic, Source: Official Guide, Source: Quant Review 2019 | | 74 | Three business partners, Q, R, and S, agree to divide their | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide, Source: OG 10, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2nd, Source: Quant Review 1st | | 75 | (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 2019 | | 76 | 1/(0.75-1)= | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 77 | (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 | | 78 | |-4| (|-20|-|5|)= ? | Difficulty: Sub-600 Level, Absolute Values/Modulus, Arithmetic | | 79 | (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 | | 80 | If y((3x-5)/2) =y and y#0, then x = | Difficulty: Sub-600 Level, Algebra, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11 | | 81 | If the median of the numbers in list I above is equal to the | Difficulty: Sub-600 Level, Must or Could be True Questions, Statistics and Sets Problems, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 82 | If 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 | | 83 | If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0 | Difficulty: Sub-600 Level, Arithmetic, Source: Grockit | | 84 | If x and y are odd integers, which of the following must always be a | Difficulty: Sub-600 Level, Number Properties, Source: Other - Please specify | | 85 | Eight identical machines can produce 360 aluminum cans per | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Princeton Review | | 86 | Of the five coordinates associated with points A, B, C, D | Difficulty: Sub-600 Level, Absolute Values/Modulus, Coordinate Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 87 | Root(80)+root(125) | Difficulty: Sub-600 Level, Roots, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12 | | 88 | Scott takes a trip and drives 6 hours from Town X to Town Z at a rate | Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Manhattan GMAT | | 89 | Two years ago, Sam put $1,000 into a savings account. | Difficulty: Sub-600 Level, Percents and Interest Problems | | 90 | What is 3/5 of 5/8 of 2/3? | Difficulty: Sub-600 Level, Arithmetic, Source: Manhattan GMAT | | 91 | Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and | Difficulty: Sub-600 Level, Geometry, Source: Economist GMAT Tutor, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017 | | 92 | If Sally can paint a house in 4 hours, and John can paint | Difficulty: Sub-600 Level, Work/Rate Problems | | 93 | A bag contains 7 red, 9 yellow, and 3 black balls. If a ball is pick | Difficulty: Sub-600 Level, Combinations, Source: Other - Please specify | | 94 | In the figure shown, what is the value of x ? | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2019 | | 95 | A glucose solution contains 15 grams of glucose per 100 | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 | | 96 | In the xy-plane, what is the slope of the line with equation | Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015 | | 97 | In Country X a returning tourist may import goods with a tot | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st | | 98 | A certain machine produces 1,000 units of product P per hour. Working | Difficulty: Sub-600 Level, Work/Rate Problems, Source: GMAT Prep | | 99 | The price of a certain television set is discounted by 10 pe | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st | | 100 | The figure above shows a path around a triangular piece of land. Mary | Difficulty: Sub-600 Level, Geometry, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016 |
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Originally posted by Bunuel on 21 Aug 2015, 02:52.
Last edited by Bunuel on 01 Feb 2019, 04:45, edited 1 time in total.
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Math Expert
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Re: 100 Hardest and easiest questions for PS
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21 Aug 2015, 04:20
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Intern
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GPA: 3.5
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Re: 100 Hardest and easiest questions for PS
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19 May 2016, 13:46
I can easily get every question out of the sub 600 list but honestly have no clue how to even approach the 700+ list. Are there questions that fall in-between?
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Re: 100 Hardest and easiest questions for PS
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20 May 2016, 00:53
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Re: 100 Hardest and easiest questions for PS
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20 May 2016, 06:55
Bunuel wrote: hffballer wrote: I can easily get every question out of the sub 600 list but honestly have no clue how to even approach the 700+ list. Are there questions that fall in-between? Check our Questions Bank, where you can find 600-700 level questions. Also, visit our Search Page to filter questions by various categories. Hope it helps. thanks a lot Brunuel. One more question. If i'm aiming for 80th percentile in Quant would i have to get a lot of these questions in your 700 bucket above correct? Want to know if i'm really far away from my target or just getting intimidated by 750+ level questions. Thanks again.
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Re: 100 Hardest and easiest questions for PS
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10 Sep 2016, 08:42
can anyone help me answer this question?
a nickel, a dime and 2 identical quarters are arranged along a side of a table. if the quarters and dime must face heads up, while nickel can face heads up or tails up, how many different arrangemnts of the coins are possible?
what level question is this?
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Re: 100 Hardest and easiest questions for PS
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11 Sep 2016, 02:25
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Senior PS Moderator
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Re: 100 Hardest and easiest questions for PS
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07 Mar 2018, 22:18
700+ questions a different ball game all together. The more I practice the more it dawns on me that you have to get these 700+ consistently correct to be able to cross the 44 mark in quant. A long way to go... but thanks for the compilation Bunuel!
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Re: 100 Hardest and easiest questions for PS
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07 Mar 2018, 22:18
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