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Math Expert V
Joined: 02 Sep 2009
Posts: 60687
100 Hardest Problem Solving Questions  [#permalink]

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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 forum.
 Problem Solving (PS) Rank Title Topics 1 How many even 3 digit integers greater than 700 with Combinations 2 If the product of all the unique positive divisors of n, a p Number Properties/Divisibility/Multiples/Factors 3 Set S consists of numbers 2, 3, 6, 48, and 164. Number K is Probability/Number Properties/Divisibility/Multiples/Factors 4 Arrow AB which is a line segment exactly 5 units along with Coordinate Geometry 5 If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest Divisibility/Multiples/Factors/Roots 6 A big cube is formed by rearranging the 160 coloured and 56 Percents and Interest Problems/Geometry 7 In the figure, point D divides side BC of triangle ABC into Geometry 8 The function g(x) is defined for integers x such that if x Arithmetic 9 Louie takes out a three-month loan of \$1000. The lender Percents and Interest Problems 10 If two integers are chosen at random out of the set {2, 5, 7 Probability/Number Properties 11 How many numbers that are not divisible by 6 divide evenly Divisibility/Multiples/Factors 12 On a partly cloudy day, Derek decides to walk back from work Distance/Rate Problems 13 a, b, c, d are positive integers such that exactly one of Inequalities 14 A sequence of numbers (geometric sequence) is given by the Exponents/Powers/Sequences 15 How many values can the integer p=|x+3|-|x-3| assume? Absolute Values/Modules 16 A man arrives at a railway station 90mins before the time at Distance/Rate Problems 17 An integer between 1 and 300, inclusive, is chosen at random Probability/Number Properties 18 A cyclist travels the length of a bike path that is 225 Inequalities/Distance/Rate Problems 19 In racing over a given distance d at uniform speed, A can be Distance/Rate Problems 20 In the diagram, points A, B, and C are on the diameter of Geometry 24 How many positive integers less than 10,000 are there in Combinations 25 Twenty metres of wire is available to fence off a flower bed Geometry/Min/Max Problems/Out of Scope - Too Hard 26 In a certain sequence, every term after the first is determi Sequences 27 List T consist of 30 positive decimals, none of which is an Min/Max Problems 28 In a village of 100 households, 75 have at least one DVD Overlapping Sets 29 Points A and B are 120 km apart. A motorcyclist starts from Distance/Rate Problems/Geometry 30 A cylindrical water tower with radius 5 m and height 8 m is Geometry/Work/Rate Problems 31 If integer C is randomly selected from 20 to 99, inclusive. Probability 32 If an integer n is to be chosen at random from the integers Probability/Divisibility/Multiples/Factors 33 If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte Algebra 35 If |12x5|>|76x|, which of the following CANNOT be the Inequalities/Absolute Values/Modules/Word Problems 36 Consider a regular polygon of p sides. The number of values Number Properties/Geometry 38 It takes 6 days for 3 women and 2 men working together to Work/Rate Problems/Poor Quality 40 If x represents the sum of all the positive three-digit Arithmetic/Combinations 41 Of a group of people, 10 play piano, 11 play guitar, 14 play Overlapping Sets 43 In the xy-coordinate system, rectangle ABCD is inscribed wit Geometry/Coordinate Geometry 44 How many triangles with positive area can be drawn on the Geometry/Coordinate Geometry 45 3 cooks have to make 80 burgers.They are known to make 20 Work/Rate Problems 46 A man cycling along the road noticed that every 12 minutes Distance/Rate Problems 47 Eight litres are drawn off from a vessel full of water and s Mixture Problems 48 How many positive integers less than 30 are either a Number Properties/Divisibility/Multiples/Factors 49 If N is the product of all multiples of 3 between 1 and 100 Number Properties/Exponents/Powers/Divisibility/Multiples/Factors 50 Tom and Linda stand at point A. Linda begins to walk in a Distance/Rate Problems 51 Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and Mixture Problems 52 If a is the sum of x consecutive positive integers. b is the Statistics and Sets Problems 53 A dessert recipe calls for 50% melted chocolate and 50% rasp Mixture Problems 54 How many positive integers between 200 and 300 (both inclusi Divisibility/Multiples/Factors 55 How many combinations of three letters taken from letters Combinations 56 If the probability of rain on any given day is 50%, what is Probability 57 x is the sum of y consecutive integers. w is the sum of z Statistics and Sets Problems 59 In how many different ways can a group of 8 people be divide Combinations 60 If x#0 and x/|x| 1, the term length of an integer Number Properties

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Math Expert V
Joined: 02 Sep 2009
Posts: 60687
100 Hardest Problem Solving Questions  [#permalink]

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150 Hardest and easiest questions for PS

_________________ 100 Hardest Problem Solving Questions   [#permalink] 15 Oct 2018, 00:50
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# 100 Hardest Problem Solving Questions Question banks Downloads My Bookmarks Reviews Important topics  