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# 150 Hardest and easiest questions for PS

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Joined: 02 Sep 2009
Posts: 40959

Kudos [?]: 118909 [19] , given: 12010

150 Hardest and easiest questions for PS [#permalink]

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21 Aug 2015, 03:49
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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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Kudos [?]: 118909 [19] , given: 12010

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Kudos [?]: 118909 [4] , given: 12010

Re: 150 Hardest and easiest questions for PS [#permalink]

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21 Aug 2015, 03:52
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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
Older version of this topic with 100 hardest questions is HERE.
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Re: 150 Hardest and easiest questions for PS [#permalink]

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19 May 2016, 14:46
1
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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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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.
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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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geetgmat wrote:
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?

Discussed here: a-nickel-a-dime-and-2-identical-quarters-are-arranged-59417.html

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Re: 150 Hardest and easiest questions for PS   [#permalink] 11 Sep 2016, 03:25
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