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150 Hardest and easiest questions for PS [#permalink]
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150 Hardest Problem Solving Questions (Jul 20th, 2017 - Aug 1st, 2017) 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 150 questions from PS forum. | Problem Solving (PS) | | Rank | Title | Topics | | 1 | In the figure, point D divides side BC of triangle ABC into | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 2 | If two integers are chosen at random out of the set {2, 5, 7 | Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT | | 3 | The sum of four consecutive odd numbers is equal to the sum | Difficulty: 700-Level, Sequences | | 4 | An isosceles triangle with one angle of 120° is inscribed in | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 5 | If the product of all the unique positive divisors of n, a p | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT | | 6 | 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 | | 7 | During the month of April, the average temperatures on day n | Difficulty: 700-Level, Absolute Values/Modules, Arithmetic, Inequalities, Must or Could be True Questions, Sequences, Word Problems | | 8 | The function g(x) is defined for integers x such that if x | Difficulty: 700-Level, Algebra, Functions and Custom Characters | | 9 | A box contains three pairs of blue gloves and two pairs of | Difficulty: 700-Level, Probability, Source: GMAT Club Tests | | 10 | Arrow AB which is a line segment exactly 5 units along with | Difficulty: 700-Level, Coordinate Geometry, Source: Manhattan GMAT | | 11 | Daniel is playing a dice game in which a dice is rolled 5 times | Difficulty: 700-Level, Probability, Source: Other - Please specify | | 12 | A bus from city M is traveling to city N at a constant speed | Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Club Tests | | 13 | 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 | | 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 even 3 digit integers greater than 700 with | Difficulty: 700-Level, Combinations, Source: Official Guide | | 16 | What is the probability of getting a sum of 8 or 14 when | Difficulty: 700-Level, Probability | | 17 | An integer between 1 and 300, inclusive, is chosen at random | Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT | | 18 | How many values can the integer p=|x+3|-|x-3| assume? | Difficulty: 700-Level, Absolute Values/Modules | | 19 | A sequence of numbers (geometric sequence) is given by the | Difficulty: 700-Level, Absolute Values/Modules, Exponents/Powers, Sequences, Source: Grockit | | 20 | A list of numbers has six positive integers. Three of those integers | Difficulty: 700-Level, Statistics and Sets Problems, Source: Veritas Prep | | 21 | How many numbers that are not divisible by 6 divide evenly | Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT | | 22 | Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa | Difficulty: 700-Level, Work/Rate Problems | | 23 | In the x-y plane, point (p, q) is a lattice point if both p | Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Magoosh | | 24 | If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte | Difficulty: 700-Level, Absolute Values/Modules, Algebra, Min/Max Problems, Source: Manhattan GMAT | | 25 | On a partly cloudy day, Derek decides to walk back from work | Difficulty: 700-Level, Distance/Rate Problems, Source: Veritas Prep | | 26 | x@y = 2x^(1/2) + y^2. How many unique sums of x and y result, if x@y | Difficulty: 700-Level, Algebra, Functions and Custom Characters, Source: Magoosh | | 27 | 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 | | 28 | In a certain sequence, every term after the first is determi | Difficulty: 700-Level, Sequences, Source: Manhattan GMAT | | 29 | A big cube is formed by rearranging the 160 coloured and 56 | Difficulty: 700-Level, Geometry, Percents and Interest Problems | | 30 | In a certain mathematical activity, we have five cards with five diffe | Difficulty: 700-Level, Combinations, Source: Magoosh | | 31 | How many different pairs of integers (a, b) exist such that 2 <= a <= | Difficulty: 700-Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT | | 32 | Ms. Barton has four children. You are told correctly that sh | Difficulty: 700-Level, Probability, Source: GMAT Prep EP1, Source: Manhattan GMAT | | 33 | If a circle passes through points (9,2*sqrt(3)) | Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Other - Please specify | | 34 | We define f(n) as the highest power of 7 that divides n. Wha | Difficulty: 700-Level, Arithmetic, Exponents/Powers, Functions and Custom Characters | | 35 | Set S consists of numbers 2, 3, 6, 48, and 164. Number K is | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Probability | | 36 | How many different combinations of outcomes can you make by | Difficulty: 700-Level, Combinations | | 37 | List T consist of 30 positive decimals, none of which is an | Difficulty: 700-Level, Min/Max Problems, Source: Official Guide | | 38 | The elevator in an eleven-story office building travels at | Difficulty: 700-Level, Distance/Rate Problems | | 39 | In the diagram, points A, B, and C are on the diameter of | Difficulty: 700-Level, Geometry, Source: Kaplan | | 40 | How many integral values of k are possible, if the lines 3x+ | Difficulty: 700-Level, Coordinate Geometry | | 41 | A bag contains 10 bulbs and 5 torches, out of which 3 bu | Difficulty: 700-Level, Probability, Source: e-GMAT | | 42 | If integer C is randomly selected from 20 to 99, inclusive. | Difficulty: 700-Level, Divisibility/Multiples/Factors, Probability, Source: Manhattan GMAT | | 43 | 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 | | 44 | An alloy of copper and aluminum has 40% copper. An alloy of Copper and | Difficulty: 700-Level, Mixture Problems, Source: Other - Please specify | | 45 | Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and | Difficulty: 700-Level, Mixture Problems | | 46 | Let a “2-placer” be a terminating decimal, between 0 and 1, for which | Difficulty: 700-Level, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT | | 47 | A bag contains 3 red and 2 black ball. Another bag contains 4 red and | Difficulty: 700-Level, Probability | | 48 | How many integers less than 100 have exactly 4 odd factors b | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties | | 49 | The function p(n) on non-negative integer n is defined in | Difficulty: 700-Level, Exponents/Powers, Functions and Custom Characters, Source: Manhattan GMAT | | 50 | The chart below lists the odds that a horse will place in | Difficulty: 700-Level, Probability, Source: Princeton Review | | 51 | If |12x−5|>|7−6x|, which of the following CANNOT be the | Difficulty: 700-Level, Absolute Values/Modules, Inequalities, Source: Veritas Prep | | 52 | For how many different pairs of positive integers (a, b) can | Difficulty: 700-Level, Arithmetic, Source: Manhattan GMAT | | 53 | Darcy, Gina, Ray and Susan will be the only participants at a meeting. | Difficulty: 700-Level, Probability, Source: Kaplan | | 54 | A botanist selects n^2 trees on an island and studies (2n + | Difficulty: 700-Level, Remainders, Source: Princeton Review | | 55 | Points A and B are 120 km apart. A motorcyclist starts from | Difficulty: 700-Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT | | 56 | In how many ways can 5 different marbles be distributed in 4 | Difficulty: 700-Level, Combinations, Source: GMAT Pill | | 57 | A customer using a certain telephone calling plan pays a fee | Difficulty: 700-Level, Word Problems, Source: Kaplan | | 58 | 4 individuals arrive separately at an orchestra concert with | Difficulty: 700-Level, Probability, Source: Veritas Prep | | 59 | A man arrives at a railway station 90 minutes before the tim | Difficulty: 700-Level, Distance/Rate Problems | | 60 | Random Pack 1, Question 3 Three circles with radii... | Difficulty: 700-Level, Geometry, Source: EMPOWERgmat | | 61 | Louie takes out a three-month loan of $1000. The lender | Difficulty: 700-Level, Percents and Interest Problems, Source: Magoosh | | 62 | 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 | | 63 | Consider a regular polygon of p sides. The number of values | Difficulty: 700-Level, Geometry, Number Properties | | 64 | A cylindrical tank of radius R and height H must be redesign | Difficulty: 700-Level, Geometry, Source: Manhattan GMAT | | 65 | How many 4-digit numbers can be formed by using the digits 0 | Difficulty: 700-Level, Combinations | | 66 | When the number 777 is divided by the integer N, the remaind | Difficulty: 700-Level, Remainders, Source: 800 Score | | 67 | The positive value of x that satisfies the equation (1 + 2x) | Difficulty: 700-Level, Algebra, Exponents/Powers, Source: Manhattan GMAT | | 68 | If a and b are distinct integers and a^b = b^a, how many | Difficulty: 700-Level, Exponents/Powers, Number Properties, Source: Veritas Prep | | 69 | How many even integers n, where 100 <= n <= 200, are divisib | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties | | 70 | Jerry and Jim run a race of 2000 m. First, Jerry gives Jim | Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Paper Tests | | 71 | Pipe A and Pipe B fill water into a tank of capacity 1000 litres at | Difficulty: 700-Level, Work/Rate Problems, Source: Other - Please specify | | 72 | A cyclist travels the length of a bike path that is 225 | Difficulty: 700-Level, Distance/Rate Problems, Inequalities, Source: Manhattan GMAT, Source: PowerPrep | | 73 | How many 3-digit integers between 100 and 200 have a digit | Difficulty: 700-Level, Combinations, Source: Kaplan | | 74 | Brenda and Sally run in opposite direction on a circular tra | Difficulty: 700-Level, Distance/Rate Problems | | 75 | A circle is inscribed in a square with an area of 121 square | Difficulty: 700-Level, Combinations, Geometry, Source: 800 Score | | 76 | Baseball's World Series matches 2 teams against each other | Difficulty: 700-Level, Probability, Source: Manhattan GMAT | | 77 | The number 523abc is divisible by 7,8,9. Then what is the | Difficulty: 700-Level, Divisibility/Multiples/Factors | | 78 | If a is the sum of x consecutive positive integers. b is the | Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT | | 79 | Suppose x is an integer such that (x^2−x−1)^(x+2)=1 | Difficulty: 700-Level, Algebra, Source: Veritas Prep | | 80 | a, b, c, d are positive integers such that exactly one of | Difficulty: 700-Level, Inequalities | | 81 | If y = |x + 5|-|x - 5|, then y can take how many integer | Difficulty: 700-Level, Absolute Values/Modules, Source: GMAT Prep | | 82 | How many positive integers less than 1000 are multiples of 5 | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties | | 83 | How many different four-letter words can be formed (the words don't | Difficulty: 700-Level, Combinations | | 84 | There are 100 freshmen at a particular college, all of whom | Difficulty: 700-Level, Overlapping Sets | | 85 | 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 | | 86 | Ben and Shari have invited three other couples to their apar | Difficulty: 700-Level, Combinations, Source: Princeton Review | | 87 | 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 | | 88 | Three men A, B and C working together can do a work in 30 da | Difficulty: 700-Level, Work/Rate Problems | | 89 | How many distinct four-digit numbers can be formed by the | Difficulty: 700-Level, Combinations, Source: Magoosh | | 90 | A fair coin is tossed 6 times. What is the probability of getting no | Difficulty: 700-Level, Probability | | 91 | A dealer offers a cash discount of 20% and still makes a pro | Difficulty: 700-Level, Arithmetic, Percents and Interest Problems | | 92 | 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 | | 93 | Of the three-digit integers greater than 660, how many have | Difficulty: 700-Level, Combinations | | 94 | If m^2 < 225 and n - m = -10, what is the sum f the smallest | Difficulty: 700-Level, Inequalities, Min/Max Problems, Source: GMAT Club Tests | | 95 | Set A consists of 2 positive integers, and set B consists | Difficulty: 700-Level, Statistics and Sets Problems, Source: GMATPrepNow | | 96 | On the number line shown, the distance between 0 and a . . . | Difficulty: 700-Level, Absolute Values/Modules, Algebra, Source: e-GMAT | | 97 | Mike started working at 18 and retires at 60. He spent the first 1/5 | Difficulty: 700-Level, Fractions/Ratios/Decimals, Source: Other - Please specify | | 98 | There are three secretaries who work for four departments. | Difficulty: 700-Level, Combinations, Probability, Source: Kaplan Advanced | | 99 | Of a group of people, 10 play piano, 11 play guitar, 14 play | Difficulty: 700-Level, Overlapping Sets, Source: Veritas Prep | | 100 | How many triangles with positive area can be drawn on the | Difficulty: 700-Level, Coordinate Geometry, Geometry | | 101 | In a village of 100 households, 75 have at least one DVD | Difficulty: 700-Level, Overlapping Sets, Source: 800 Score, Source: GMAT Prep | | 102 | If x is the smallest positive integer that is not prime and | Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Veritas Prep | | 103 | 5 letters have to be put in 5 different envelopes numbered 1 through 5 | Difficulty: 700-Level, Probability, Source: Other - Please specify | | 104 | If a line which has the equation 7x + 17y = 1000 is plotted on X-Y pla | Difficulty: 700-Level, Algebra, Coordinate Geometry, Source: Other - Please specify | | 105 | A certain company plans to sell Product X for p dollars per | Difficulty: 700-Level, Probability | | 106 | A set of five positive integers has an arithmetic mean of 150. A parti | Difficulty: 700-Level, Number Properties, Source: Veritas Prep | | 107 | A mixed doubles tennis game is to be played between two team | Difficulty: 700-Level, Combinations | | 108 | On planet Simplon, each year has 12 months, each of which | Difficulty: 700-Level, Fractions/Ratios/Decimals, Source: Veritas Prep | | 109 | The average score in an examination of 10 students of a class is 60 | Difficulty: 700-Level, Min/Max Problems, Statistics and Sets Problems, Word Problems, Source: Other - Please specify | | 110 | A set of consecutive positive integers beginning with 1 is | Difficulty: 700-Level, Statistics and Sets Problems | | 111 | If x is any integer from -6 to 2 inclusive, how many | Difficulty: 700-Level, Absolute Values/Modules, Inequalities, Source: GMATPrepNow | | 112 | An ant is clinging to one corner of a box in the shape of a | Difficulty: 700-Level, Combinations, Source: Manhattan GMAT | | 113 | How many 2-inch by 3-inch rectangular tiles are required to tile this | Difficulty: 700-Level, Geometry, Source: Other - Please specify | | 114 | Alan’s regular hourly wage is 1.5 times Barney’s regular | Difficulty: 700-Level, Number Properties, Source: Manhattan GMAT | | 115 | Ax(y) is an operation that adds 1 to y | Difficulty: 700-Level, Functions and Custom Characters | | 116 | Theresa is a basketball player practicing her free throws. On her fir | Difficulty: 700-Level, Fractions/Ratios/Decimals, Probability, Source: Magoosh | | 117 | How many positive integers less than 10,000 are there in | Difficulty: 700-Level, Combinations, Source: Other - Please specify | | 118 | How many 4 digit numbers are there, if it is known that the | Difficulty: 700-Level, Combinations, Source: Economist GMAT Tutor | | 119 | Three points are chosen independently an at random on the circumferenc | Difficulty: 700-Level, Probability, Source: Manhattan GMAT | | 120 | If x and y are integers and 2x + 9y = 57, then the least possible valu | Difficulty: 700-Level, Algebra, Source: Veritas Prep | | 121 | How many combinations of three letters taken from letters | Difficulty: 700-Level, Combinations | | 122 | A cylindrical tank with radius 3 meters is filled with a solution. The | Difficulty: 700-Level, Geometry | | 123 | Two different primes may be said to “rhyme” | Difficulty: 700-Level, Number Properties, Source: Manhattan GMAT | | 124 | A trail mix company keeps costs down by employing the peanuts:cashews: | Difficulty: 700-Level, Arithmetic, Source: Veritas Prep | | 125 | At the post office, a letter must go through a sorting process with fo | Difficulty: 700-Level, Arithmetic, Fractions/Ratios/Decimals, Word Problems | | 126 | The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. | Difficulty: 700-Level, Combinations, Source: Other - Please specify | | 127 | What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x | Difficulty: 700-Level, Exponents/Powers, Source: GMATPrepNow | | 128 | 3 cooks have to make 80 burgers.They are known to make 20 | Difficulty: 700-Level, Work/Rate Problems | | 129 | At a local beach, the ratio of little dogs to average dogs | Difficulty: 700-Level, Fractions/Ratios/Decimals, Percents and Interest Problems, Source: Veritas Prep | | 130 | If x+|x|+y=7 and x+|y|-y=6 what is x+y=? | Difficulty: 700-Level, Absolute Values/Modules, Source: Magoosh | | 131 | A man cycling along the road noticed that every 12 minutes | Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Club Tests | | 132 | The figure above shows the inside dimensions in feet of a certain room | Difficulty: 700-Level, Geometry, Source: GMAT Prep EP2 | | 133 | Jane gave Karen a 5 m head start in a 100 race and Jane was | Difficulty: 700-Level, Distance/Rate Problems | | 134 | The workforce of a certain company comprised exactly 10,500 | Difficulty: 700-Level, Word Problems | | 135 | A square wooden plaque has a square brass inlay in the | Difficulty: 700-Level, Geometry, Must or Could be True Questions, Source: Official Guide | | 136 | A cyclist travels the length of a bike path that is 225 | Difficulty: 700-Level, Min/Max Problems, Word Problems, Source: Manhattan GMAT | | 137 | If the prime factorization of the integer q can be expressed | Difficulty: 700-Level, Divisibility/Multiples/Factors, Exponents/Powers, Number Properties, Source: Manhattan GMAT | | 138 | Matt is touring a nation in which coins are issued in two am | Difficulty: 700-Level, Combinations, Source: Veritas Prep | | 139 | |x + 3| = |y -4|, where x and y are non-zer | Difficulty: 700-Level, Algebra, Inequalities, Min/Max Problems, Source: e-GMAT | | 140 | In a game of chess the moves of whites and blacks alternate | Difficulty: 700-Level, Word Problems, Source: GMAT Club Tests | | 141 | |x+3| - |4-x| = |8+x|. How many solutions does the equation | Difficulty: 700-Level, Absolute Values/Modules | | 142 | In the game of Yahtzee, a "full house" occurs when a player | Difficulty: 700-Level, Probability, Source: Veritas Prep | | 143 | A straight picket fence is composed of x pickets each of whi | Difficulty: 700-Level, Geometry, Word Problems, Source: Kaplan | | 144 | In racing over a given distance d at uniform speed, A can be | Difficulty: 700-Level, Distance/Rate Problems | | 145 | A circle is inscribed inside right triangle ABC shown above. What is | Difficulty: 700-Level, Geometry, Source: Economist GMAT Tutor | | 146 | What is the last non-zero digit of expression | Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Other - Please specify | | 147 | A cylindrical water tower with radius 5 m and height 8 m is | Difficulty: 700-Level, Geometry, Work/Rate Problems, Source: Grockit | | 148 | A firm's annual revenue grows twice as fast as its costs. In | Difficulty: 700-Level, Percents and Interest Problems, Source: Grockit | | 149 | The price of a bushel of corn is currently $3.20, and the | Difficulty: 700-Level, Word Problems | | 150 | A not-so-good clockmaker has four clocks on display in the w | Difficulty: 700-Level, Distance/Rate Problems, Source: PowerPrep |
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Math Expert
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Re: 150 Hardest and easiest questions for PS [#permalink]
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150 Easiest Problem Solving Questions (Jul 20th, 2017 - Aug 1st, 2017) 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 150 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 | | 2 | In the equation above, k is a constant. If y = 17 when x = 2 | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 3 | 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: Official Guide | | 4 | If it is assumed that 60 percent of those who receive a questionnaire | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 5 | A bakery opened yesterday with its daily supply of 40 dozen | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 6 | The ratio 2 to 1/3 is equal to the ratio | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 7 | Rectangular Floors X and Y have equal area. If Floor X is 12 | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 8 | If x = -1, then -(x^4 + x^3 + x^2 + x) = | Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide | | 9 | Which of the following is equivalent to the pair of | Difficulty: Sub-600 Level, Inequalities, Source: Official Guide | | 10 | If 2/(1+2/y)=1, then y = | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 11 | 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 | | 12 | The number 2 - 0.5 is how many times the number 1 - 0.5? | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 13 | 0.1+0.1^2+0.1^3= | Difficulty: Sub-600 Level, Arithmetic, Exponents/Powers, Source: Official Guide | | 14 | 150 is what percent of 30 ? | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 15 | If n is a prime number greater than 3, what is the remainder | Difficulty: Sub-600 Level, Number Properties, Source: Official Guide | | 16 | If n is a prime number greater than 3, what is the remainder | Difficulty: Sub-600 Level, Remainders, Source: Official Guide | | 17 | In the figure above, the coordinates of point V are | Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide | | 18 | On 3 sales John has received commissions of $240, $80, and $ | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 19 | What number when multiplied by 4/7 yields 6/7 as the result? | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 20 | If m is an integer such that (-2)^2m = 2^{9 - m}, then m= | Difficulty: Sub-600 Level, Exponents/Powers, Source: Official Guide | | 21 | If the population of a certain country increases at the rate | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 22 | Kelly and Chris packed several boxes with books. If Chris | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 23 | The ratio of the length to the width of a rectangular advert | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 24 | If Mario was 32 years old 8 years ago, how old was he x year | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 25 | A fruit-salad mixture consists of apples, peaches, and grape | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 26 | 1/(1+1/3)-1/(1+1/2) | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 27 | Of the final grades received by the students in a certain | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 28 | If 3 - x = 2x - 3, then 4x = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 29 | Running at the same constant rate, 6 identical machines can | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide | | 30 | If O is the center of the circle above, what fraction of the | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 31 | If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 32 | In the figure above, what is the ratio of the measure of angle B to | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 33 | A student's average (arithmetic mean) test score on 4 tests | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide | | 34 | John is traveling to a meeting that is 28 miles away. He nee | Difficulty: Sub-600 Level, Distance/Rate Problems | | 35 | In the Johnsons' monthly budget, the dollar amounts allocate | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 36 | (1/5)^2 - 1/5*1/4 = | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide | | 37 | In a shipment of 120 machine parts, 5 percent were defective | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 38 | (2+2*6^1/2)/2 | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Roots, Source: Official Guide | | 39 | As a salesperson, Phyllis can choose one of two methods of a | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 40 | 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 41 | A rectangular floor that measures 8 meters by 10 meters is to be cover | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 42 | 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 | | 43 | Eight identical machines can produce 360 aluminum cans per | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Princeton Review | | 44 | 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 | | 45 | Root(80)+root(125) | Difficulty: Sub-600 Level, Roots, Source: Official Guide | | 46 | Of the five coordinates associated with points A, B, C, D | Difficulty: Sub-600 Level, Absolute Values/Modules, Coordinate Geometry, Source: Official Guide | | 47 | A glucose solution contains 15 grams of glucose per 100 | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 48 | A gym class can be divided into 8 teams with an equal number | Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Source: Official Guide | | 49 | 1/(0.75-1)= | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide | | 50 | If p/q < 1, and p and q are positive integers, which of the | Difficulty: Sub-600 Level, Inequalities, Must or Could be True Questions, Source: Official Guide | | 51 | A rectangular garden is to be twice as long as it is wide. | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 52 | If x + 5 > 2 and x - 3 < 7, the value of x must be between | Difficulty: Sub-600 Level, Inequalities, Source: Official Guide | | 53 | If n is a positive integer and k + 2 = 3^n, which of the fol | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 54 | Three business partners, Q, R, and S, agree to divide their | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide | | 55 | 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 | | 56 | 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 | | 57 | (1+5^1/2)(1-5^1/2)= | Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide | | 58 | The sum 7/8+1/9 is between | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide | | 59 | The product X of two prime numbers is between 17 and 55. If | Difficulty: Sub-600 Level, Number Properties, Source: GMAT Pill | | 60 | The price of a certain television set is discounted by 10 pe | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 61 | The amounts of time that three secretaries worked on a | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 62 | If Sally can paint a house in 4 hours, and John can paint | Difficulty: Sub-600 Level, Work/Rate Problems | | 63 | In the rectangular coordinate system above, if point R (not | Difficulty: Sub-600 Level, Coordinate Geometry, Geometry, Source: Official Guide | | 64 | |-4| (|-20|-|5|)= ? | Difficulty: Sub-600 Level, Absolute Values/Modules, Arithmetic | | 65 | If Jake loses 8 pounds, he will weigh twice as much as his | Difficulty: Sub-600 Level, Word Problems | | 66 | The figure above shows a circular flower bed, with its cente | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 67 | 1/(3-1/(3-1/(3-1)))= | Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide | | 68 | For which of the following values of s is (50+s)s an integer? | Difficulty: Sub-600 Level, Arithmetic, Number Properties, Source: Veritas Prep | | 69 | In Country X a returning tourist may import goods with a tot | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 70 | If x/4 is 2 more than x/8, then x = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 71 | A project scheduled to be carried out over a single fiscal | Difficulty: Sub-600 Level, Word Problems, Source: 800 Score, Source: Official Guide | | 72 | If y((3x-5)/2) =y and y#0, then x = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 73 | If 60 percent of a rectangular floor is covered by a rectang | Difficulty: Sub-600 Level, Arithmetic, Geometry, Source: Official Guide | | 74 | Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 75 | Running at the same rate, 8 identical machines can produce 560 papercl | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Magoosh | | 76 | If x is negative and y is positive, which of the following must be | Difficulty: Sub-600 Level, Number Properties, Source: Princeton Review | | 77 | If the figure provided is drawn to scale, which of the following point | Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Grockit | | 78 | In the xy-plane, what is the slope of the line with equation | Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide | | 79 | A committee is composed of w women and m men. If 3 women and | Difficulty: Sub-600 Level, Probability, Source: Official Guide | | 80 | If |a| = 1/3 and |b| = 2/3, which of the following CANNOT be the resul | Difficulty: Sub-600 Level, Absolute Values/Modules, Arithmetic, Source: Manhattan GMAT | | 81 | 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 | | 82 | Running at the same constant rate, 6 identical machines can | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide | | 83 | If n is the product of the integers from 1 to 8, inclusive | Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide | | 84 | If 1 + 1/x = 2 - 2/x, then x = | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 85 | (2 3/5 - 1 2/3)/(2/3 - 3/5) | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 86 | A rope 40 feet long is cut into two pieces. If one piece is | Difficulty: Sub-600 Level, Arithmetic, Source: 800 Score, Source: Official Guide | | 87 | The figure above shows a path around a triangular piece of land. Mary | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 88 | For what value of x, is |x – 3| + |x + 1| + |x| = 10? | Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Economist GMAT Tutor, Source: Veritas Prep | | 89 | 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 | | 90 | John has 10 pairs of matched socks. If he loses 7 individual | Difficulty: Sub-600 Level, Min/Max Problems, Source: Official Guide | | 91 | Two years ago, Sam put $1,000 into a savings account. | Difficulty: Sub-600 Level, Percents and Interest Problems | | 92 | Which of the following must be equal to zero for all real nu | Difficulty: Sub-600 Level, Must or Could be True Questions, Number Properties, Source: Official Guide | | 93 | In Township K each property is taxed at 8 percent of its assessed | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Other - Please specify | | 94 | The sum of prime numbers that are greater than 60 but less | Difficulty: Sub-600 Level, Number Properties, Source: Official Guide | | 95 | Sixty percent of the members of a study group are women, and | Difficulty: Sub-600 Level, Probability, Source: Official Guide | | 96 | If Jake loses 8 pounds, he will weigh twice as much as his | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 97 | If the remainder is 7 when positive integer n is divided by | Difficulty: Sub-600 Level, Remainders, Source: GMAT Paper Tests | | 98 | In the figure above, the sum of the three numbers in the hor | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 99 | During a two-week period, the price of an ounce of silver in | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 100 | If k^2 = m^2, which of the following must be true? | Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Official Guide | | 101 | If k^2 = m^2, which of the following must be true? | Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Official Guide | | 102 | 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 | | 103 | If a quality control check is made inspecting a sample of 2 | Difficulty: Sub-600 Level, Combinations, Source: GMAT Prep | | 104 | Thirty percent of the members of a swim club have passed the | Difficulty: Sub-600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide | | 105 | In the figure above, if F is a point on the line that bisect | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 106 | (16 + 16)^1/2 = | Difficulty: Sub-600 Level, Algebra, Roots, Source: Official Guide | | 107 | If x = 1- 3t and y = 2t - 1, then for what value of t does x | Difficulty: Sub-600 Level, Algebra, Source: Official Guide | | 108 | 1-(1/2-2/3)= | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: Princeton Review | | 109 | The value of -3-(-10) is how much greater than the value of | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 110 | The annual budget of a certain college is to be shown on a c | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 111 | In a certain city, 60 percent of the registered voters are | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: 800 Score, Source: Official Guide | | 112 | The maximum recommended pulse rate R, when exercising, for a | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 113 | The average (arithmetic mean) of 6 numbers is 8.5. When one | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide | | 114 | If x is an even integer, which of the following is an odd integer? | Difficulty: Sub-600 Level, Number Properties, Source: Other - Please specify | | 115 | If x + y= 8z, then which of the following represents the ave | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide | | 116 | What is 3/5 of 5/8 of 2/3? | Difficulty: Sub-600 Level, Arithmetic, Source: Manhattan GMAT | | 117 | 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 | | 118 | If |a+b|=|a-b|, then a*b must be equal to: | Difficulty: Sub-600 Level, Absolute Values/Modules, Algebra, Source: Kaplan | | 119 | If a basketball team scores an average (arithmetic mean) of | Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide | | 120 | If the length of an edge of cube X is twice the length of an | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 121 | Jim travels the first 3 hours of his journey at 60 mph speed and the | Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Other - Please specify | | 122 | When Leo imported a certain item, he paid a 7 percent import | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 123 | Car X and Car Y traveled the same 80-mile route. If Car X to | Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Official Guide | | 124 | 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 | | 125 | Members of a social club met to address 280 newsletters. If | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide | | 126 | If 893 × 78 = p, which of the following is equal to 893 × 79? | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 127 | Machine A produces bolts at a uniform rate of 120 every 40 | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide | | 128 | A certain fishing boat is chartered by 6 people who are to c | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 129 | If 25 percent of p is equal to 10 percent of q, and pq#0, th | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 130 | If 105 divides into n with no remainder, which of the following must | Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Remainders, Source: Other - Please specify | | 131 | What is the 25th digit to the right of the decimal point in | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 132 | If the quotient a/b positive, which of the following must be | Difficulty: Sub-600 Level, Must or Could be True Questions, Number Properties, Source: Official Guide | | 133 | After 4,000 gallons of water were added to a large water tan | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide | | 134 | 17^3 + 17^4 = | Difficulty: Sub-600 Level, Arithmetic, Exponents/Powers, Source: Official Guide | | 135 | An artist wishes to paint a circular region on a square post | Difficulty: Sub-600 Level, Geometry, Source: Official Guide | | 136 | Of the following, which is least? A. 0.03/0.00071 B. 0.03/0.0071...... | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 137 | There are 4 more women than men on Centerville’s board of | Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide | | 138 | If m^(-1) = -1/3 then m^(-2) is equal to | Difficulty: Sub-600 Level, Exponents/Powers, Source: Official Guide | | 139 | If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ? | Difficulty: Sub-600 Level, Number Properties, Source: GMAT Prep EP1 | | 140 | There are 4 more women than men on Centerville's board of | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 141 | In a poll of 66,000 physicians, only 20 percent responded; | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 142 | If an integer n is divisible by both 6 and 8, then it must | Difficulty: Sub-600 Level, Divisibility/Multiples/Factors | | 143 | How many minutes does it take to travel 120 miles at 400 mil | Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Official Guide | | 144 | If a 3-member subcommittee is to be formed from a certain 6- | Difficulty: Sub-600 Level, Combinations, Source: GMAT Prep EP1 | | 145 | Three printing presses, R, S, and T, working together at the | Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide | | 146 | A group of store managers must assemble 280 displays for an | Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide | | 147 | Today Rebecca, who is 34 years old, and her daughter, who is 8 years | Difficulty: Sub-600 Level, Word Problems, Source: Official Guide | | 148 | On a vacation,Rose exchanged $500.00 for euros at an exchange rate | Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide | | 149 | How many zeros does 100! end with? | Difficulty: Sub-600 Level, Arithmetic, Number Properties, Work/Rate Problems | | 150 | If 60! is written out as an integer, with how many | Difficulty: Sub-600 Level, Number Properties, Source: Manhattan GMAT |
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Re: 150 Hardest and easiest questions for PS [#permalink]
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21 Aug 2015, 05:20
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Re: 150 Hardest and easiest questions for PS [#permalink]
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19 May 2016, 14:46
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I can easily get every question out of the sub 600 list but honestly have no clue how to even approach the 700+ list. Are there questions that fall in-between?
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Re: 150 Hardest and easiest questions for PS [#permalink]
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20 May 2016, 01:53
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Re: 150 Hardest and easiest questions for PS [#permalink]
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20 May 2016, 07:55
Bunuel wrote: hffballer wrote: I can easily get every question out of the sub 600 list but honestly have no clue how to even approach the 700+ list. Are there questions that fall in-between? Check our Questions Bank, where you can find 600-700 level questions. Also, visit our Search Page to filter questions by various categories. Hope it helps. thanks a lot Brunuel. One more question. If i'm aiming for 80th percentile in Quant would i have to get a lot of these questions in your 700 bucket above correct? Want to know if i'm really far away from my target or just getting intimidated by 750+ level questions. Thanks again.
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Re: 150 Hardest and easiest questions for PS [#permalink]
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10 Sep 2016, 09:42
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: 150 Hardest and easiest questions for PS [#permalink]
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11 Sep 2016, 03:25
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Re: 150 Hardest and easiest questions for PS
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11 Sep 2016, 03:25
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