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# 100 Hardest and easiest questions for PS as of January 2019

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Math Expert
Joined: 02 Sep 2009
Posts: 52905
100 Hardest and easiest questions for PS  [#permalink]

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Updated on: 01 Feb 2019, 04:45
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305

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

_________________

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.
##### Most Helpful Expert Reply
Math Expert
Joined: 02 Sep 2009
Posts: 52905
Re: 100 Hardest and easiest questions for PS  [#permalink]

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Updated on: 01 Feb 2019, 04:45
13
42

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.
##### General Discussion
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Re: 100 Hardest and easiest questions for PS  [#permalink]

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21 Aug 2015, 04:20
Older version of this topic with 100 hardest questions is HERE.
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Re: 100 Hardest and easiest questions for PS  [#permalink]

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19 May 2016, 13:46
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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: 100 Hardest and easiest questions for PS  [#permalink]

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20 May 2016, 00:53
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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: 100 Hardest and easiest questions for PS  [#permalink]

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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  [#permalink]

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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  [#permalink]

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11 Sep 2016, 02:25
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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

PLEASE READ AND FOLLOW: rules-for-posting-please-read-this-before-posting-133935.html
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Re: 100 Hardest and easiest questions for PS  [#permalink]

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07 Mar 2018, 22:18
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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   [#permalink] 07 Mar 2018, 22:18
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