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# 100 Hardest PS questions!

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15 Jul 2013, 03:41
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100 Hardest Problem Solving Questions

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 forumh.
 Problem Solving (PS) Rank Title Topics 1 On a partly cloudy day, Derek decides to walk back from work Distance/Rate Problems 2 If the product of all the unique positive divisors of n, a p Divisibility/Multiples/Factorsx/Number Properties 3 In the figure, point D divides side BC of triangle ABC into Geometry 4 In a village of 100 households, 75 have at least one DVD Overlapping Sets 5 How many even 3 digit integers greater than 700 with Combinations 6 Arrow AB which is a line segment exactly 5 units along with Coordinate Geometry 7 An integer between 1 and 300, inclusive, is chosen at random Probability 8 How many positive integers less than 10,000 are there in Combinations 9 If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest Divisibility/Multiples/Factors/Roots 10 A fair coin is tossed 5 times. What is the probability of Probability 11 Louie takes out a three-month loan of \$1000. The lender Percents and Interest Problems 12 The function g(x) is defined for integers x such that if x Arithmetic 13 In racing over a given distance d at uniform speed, A can be Distance/Rate Problems 14 What is the least possible distance between a point on the Coordinate Geometry 15 A sequence of numbers (geometric sequence) is given by the Exponents/Powers/Sequences 16 A cylindrical water tower with radius 5 m and height 8 m is Geometry/Work/Rate Problems 17 Car B starts at point X and moves clockwise around Distance/Rate Problems 18 What is the product of all the solutions of x^2 - 4x + 6=3 Absolute Values/Modules/Algebra 19 List T consist of 30 positive decimals, none of which is an Min/Max Problems 20 If x+|x|+y=7 and x+|y|-y=6 what is x+y=? Absolute Values/Modules 21 If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte Algebra 22 If x represents the sum of all the positive three-digit Arithmetic/Combinations 23 If x#0 and x/|x||7−6x|, which of the following CANNOT be the Absolute Values/Modules/Inequalities 51 How many numbers that are not divisible by 6 divide evenly Divisibility/Multiples/Factors 52 How many 4 digit numbers are there, if it is known that the Combinations 53 How many of the integers that satisfy the inequality (x+2)(x Inequalities 54 Two cars A and B start from Boston and New York respectively Distance/Rate Problems 55 If p and q are two different odd prime numbers, such that Must or Could be True Questions/Number Properties 56 How many positive integers less than 30 are either a Divisibility/Multiples/Factors/Number Properties 57 If two integers are chosen at random out of the set {2, 5, 7 Number Properties/Probability 58 Point (x,y) is a point within the triangle. What is the Coordinate Geometry/Probability 59 How many even integers n, where 100 <= n <= 200, are divisib Divisibility/Multiples/Factors 60 A cyclist travels the length of a bike path that is 225 Distance/Rate Problems/Inequalities 61 If x/|x|

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Last edited by Bunuel on 18 Oct 2013, 04:27, edited 17 times in total.
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100 Hardest PS questions!   [#permalink] 15 Jul 2013, 03:41
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