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100 Hardest and easiest questions for PS
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Updated on: 01 Apr 2020, 03:45
100 Hardest Problem Solving Questions (Mar 1st, 2020  Apr 1st, 2020) 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  In the figure, point D divides side BC of triangle ABC into segments  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  2  During the month of April, the average temperatures on day n  Difficulty: 700Level, Absolute Values/Modulus, Arithmetic, Coordinate Geometry, Inequalities, Must or Could be True Questions, Sequences, Word Problems  3  If two integers are chosen at random out of the set {2, 5, 7, 8}, what  Difficulty: 700Level, Number Properties, Probability, Source: Manhattan GMAT  4  An isosceles triangle with one angle of 120° is inscribed in  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  5  If the product of all the unique positive divisors of n, a positive in  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT  6  A list of numbers has six positive integers. Three of those integers a  Difficulty: 700Level, Statistics and Sets Problems, Source: Veritas Prep  7  The sum of four consecutive odd numbers is equal to the sum  Difficulty: 700Level, Sequences  8  In an investigation, it was found that 20% of the employees who are vu  Difficulty: 700Level, Overlapping Sets, Percents and Interest Problems, Source: Other  Please specify  9  Arrow AB which is a line segment exactly 5 units along with  Difficulty: 700Level, Coordinate Geometry, Source: Manhattan GMAT  10  In the xy plane, point (p, q) is a lattice point if both p  Difficulty: 700Level, Coordinate Geometry, Geometry, Source: Magoosh  11  There are 500 cars on a sales lot, all of which have either two doors  Difficulty: 700Level, Number Properties, Overlapping Sets, Percents and Interest Problems, Source: Magoosh  12  Daniel is playing a dice game in which a dice is rolled 5 times  Difficulty: 700Level, Probability, Source: Other  Please specify  13  How many integral values of k are possible, if the lines 3x+  Difficulty: 700Level, Coordinate Geometry  14  A bus from city M is traveling to city N at a constant speed  Difficulty: 700Level, Distance/Rate Problems, Source: GMAT Club Tests  15  Let a “2placer” be a terminating decimal, between 0 and 1, for which  Difficulty: 700Level, Combinations, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT  16  The function g(x) is defined for integers x such that if x  Difficulty: 700Level, Algebra, Functions and Custom Characters  17  A box contains three pairs of blue gloves and two pairs of  Difficulty: 700Level, Probability, Source: GMAT Club Tests  18  If 10!  2*(5!)^2 is divisible by 10^n, what is the greatest  Difficulty: 700Level, Algebra, Divisibility/Multiples/Factors, Number Properties  19  Twenty meters of wire is available to fence off a flower bed in the  Difficulty: 700Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor  20  If [3(ab)^3 + 9(ab)^2 – 54ab] / [(a1)(a + 2)] = 0, and a and b are bo  Difficulty: 700Level, Algebra, Must or Could be True Questions  21  An integer between 1 and 300, inclusive, is chosen at random  Difficulty: 700Level, Number Properties, Probability, Source: Manhattan GMAT  22  How many even 3 digit integers greater than 700 with distinct non zero  Difficulty: 700Level, Combinations  23  A bag contains 3 red and 2 black ball. Another bag contains 4 red and  Difficulty: 700Level, Probability  24  On a partly cloudy day, Derek decides to walk back from work  Difficulty: 700Level, Distance/Rate Problems, Source: Veritas Prep  25  The figure above shows gas mileage at different speeds for all compact  Difficulty: 700Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other  Please specify  26  A botanist selects n^2 trees on an island and studies (2n +  Difficulty: 700Level, Remainders, Source: Princeton Review  27  In a certain mathematical activity, we have five cards with five diffe  Difficulty: 700Level, Combinations, Source: Magoosh  28  Last year Isabella took 7 math tests and received 7 different scores,  Difficulty: 700Level, Arithmetic, Number Properties, Source: Other  Please specify  29  If a circle passes through points (9,2*sqrt(3))  Difficulty: 700Level, Coordinate Geometry, Geometry, Source: Other  Please specify  30  Tap A can fill a tank in 10 hours, tap B can fill it in 20 hours, and,  Difficulty: 700Level, Work/Rate Problems, Source: Crack Verbal  31  If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte  Difficulty: 700Level, Absolute Values/Modulus, Algebra, Min/Max Problems, Source: Manhattan GMAT  32  A sequence of numbers (geometric sequence) is given by the  Difficulty: 700Level, Absolute Values/Modulus, Exponents/Powers, Sequences, Source: Grockit  33  What is the probability of getting a sum of 8 or 14 when  Difficulty: 700Level, Probability  34  What is the number of roots of the equation (x^25x+5)^{(x^25x6)}=1?  Difficulty: 700Level, Number Properties, Source: Math Revolution  35  How many 4digit numbers can be formed by using the digits 0  Difficulty: 700Level, Combinations  36  How many numbers that are not divisible by 6 divide evenly  Difficulty: 700Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT  37  If the probability of rain on any given day is 50%, what is the probab  Difficulty: 700Level, Probability, Source: Veritas Prep  38  How many 2inch by 3inch rectangular tiles are required to tile this  Difficulty: 700Level, Geometry, Source: Other  Please specify  39  For positive integers k and n, the kpower remainder of n is defined  Difficulty: 700Level, Min/Max Problems, Number Properties, Remainders, Source: Manhattan GMAT  40  If x and y are integers and 2x + 9y = 57, then the least possible valu  Difficulty: 700Level, Algebra, Source: Veritas Prep  41  A terrible disease sweeps around the world, luckily only affecting 1  Difficulty: 700Level, Probability, Source: Other  Please specify  42  How many different pairs of integers (a, b) exist such that 2 <= a <=  Difficulty: 700Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT  43  A cylindrical tank of radius R and height H must be redesign  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  44  Darcy, Gina, Ray and Susan will be the only participants at a meeting.  Difficulty: 700Level, Probability, Source: Kaplan  45  Of the threedigit integers greater than 660, how many have  Difficulty: 700Level, Combinations  46  In a certain sequence, every term after the first is determi  Difficulty: 700Level, Sequences, Source: Manhattan GMAT  47  A sheet of paper ABDE is a 12by18inch rectangle, as shown in Figure  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  48  A customer using a certain telephone calling plan pays a fee  Difficulty: 700Level, Word Problems, Source: Kaplan  49  A set of five positive integers has an arithmetic mean of 150. A parti  Difficulty: 700Level, Number Properties, Statistics and Sets Problems, Source: Veritas Prep  50  How many different combinations of outcomes can you make by  Difficulty: 700Level, Combinations, Source: Jamboree  51  Ms. Barton has four children. You are told correctly that she has at  Difficulty: 700Level, Probability, Source: Manhattan GMAT  52  The elevator in an elevenstory office building travels at  Difficulty: 700Level, Distance/Rate Problems  53  If 20% of certain quantity of work is done by A and the rest by B,  Difficulty: 700Level, Work/Rate Problems, Source: Other  Please specify  54  List T consist of 30 positive decimals, none of which is an integer  Difficulty: 700Level, Min/Max Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015  55  In a certain sequence, each term beyond the second term is equal to th  Difficulty: 700Level, Sequences, Source: Other  Please specify  56  A big cube is formed by rearranging the 160 coloured and 56  Difficulty: 700Level, Geometry, Percents and Interest Problems  57  Louie takes out a threemonth loan of $1000. The lender  Difficulty: 700Level, Percents and Interest Problems, Source: Magoosh  58  Brian is analyzing the performance of certain stocks. He finds that  Difficulty: 700Level, Statistics and Sets Problems, Word Problems, Source: Princeton Review  59  How many values can the integer p=x+3x3 assume?  Difficulty: 700Level, Absolute Values/Modulus  60  Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa  Difficulty: 700Level, Work/Rate Problems  61  In a hostel there are 250 students, 120 watch Fox News, 80 watch Sky S  Difficulty: 700Level, Overlapping Sets, Source: Jamboree  62  We define f(n) as the highest nonnegative integer power of 7 that  Difficulty: 700Level, Divisibility/Multiples/Factors, Exponents/Powers, Functions and Custom Characters  63  On the number line shown, the distance between 0 and a . . .  Difficulty: 700Level, Absolute Values/Modulus, Algebra, Source: eGMAT  64  Let a, b, c, d, and e be positive integers with a + b + c + d + e = 20  Difficulty: 700Level, Min/Max Problems, Source: Other  Please specify  65  Points A and B are 120 km apart. A motorcyclist starts from  Difficulty: 700Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT  66  What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x  Difficulty: 700Level, Exponents/Powers, Source: GMATPrepNow  67  Set S consists of numbers 2, 3, 6, 48, and 164. Number K is  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Probability  68  How many distinct fourdigit numbers can be formed by the  Difficulty: 700Level, Combinations, Source: Magoosh  69  If a, b are integers, and (ab)^2 + 8b^2=108, what is the number of th  Difficulty: 700Level, Algebra, Source: Math Revolution  70  In the diagram, points A, B, and C are on the diameter of  Difficulty: 700Level, Geometry, Source: Kaplan  71  How many integers less than 100 have exactly 4 odd factors b  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  72  A bag contains 10 bulbs and 5 torches, out of which 3 bu  Difficulty: 700Level, Probability, Source: eGMAT  73  If a is the sum of x consecutive positive integers. b is the  Difficulty: 700Level, Statistics and Sets Problems, Source: Manhattan GMAT  74  Set A is composed of nine numbers, labeled A1 through A9. Set B is als  Difficulty: 700Level, Statistics and Sets Problems, Source: Manhattan GMAT  75  If w, x, y and z are integers such that 1 < w ≤ x ≤ y ≤ z and w × x ×  Difficulty: 700Level, Number Properties, Source: Other  Please specify  76  The remainder when N is divided by 18 is 16. Given that N is  Difficulty: 700Level, Remainders  77  Random Pack 1, Question 3 Three circles with radii...  Difficulty: 700Level, Geometry, Source: EMPOWERgmat  78  The ratio of a to b is twice the ratio of b to c. If a, b, and c are  Difficulty: 700Level, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT  79  How many different fourletter words can be formed (the words don't  Difficulty: 700Level, Combinations  80  13 students in a class had a medium score 10 and an average score of  Difficulty: 700Level, Statistics and Sets Problems, Source: Other  Please specify  81  If x is the reciprocal of a positive integer, then the maximum value o  Difficulty: 700Level, Min/Max Problems, Number Properties, Source: Manhattan GMAT  82  It takes 6 days for 3 women and 2 men working together to  Difficulty: 700Level, Work/Rate Problems, Source: 800 Score  83  If a cube of dimension 4 by 4 by 4 is cut into 1 by 1 by 1 after pain  Difficulty: 700Level, Geometry, Source: Other  Please specify  84  If a and b are distinct integers and a^b = b^a, how many  Difficulty: 700Level, Exponents/Powers, Number Properties, Source: Veritas Prep  85  The average score in an examination of 10 students of a class is 60  Difficulty: 700Level, Min/Max Problems, Statistics and Sets Problems, Word Problems, Source: Other  Please specify  86  In a survey,it was found that 10% of the students who are susceptible  Difficulty: 700Level, Overlapping Sets, Source: Other  Please specify  87  The random variable x has the following continuous probability distrib  Difficulty: 700Level, Coordinate Geometry, Probability, Source: Manhattan GMAT  88  W, X, Y and Z are four different positive integers. When X  Difficulty: 700Level, Remainders, Source: GMATPrepNow  89  a, b, c, d are positive integers such that exactly one of  Difficulty: 700Level, Inequalities  90  Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and  Difficulty: 700Level, Mixture Problems  91  Pam and Robin each roll a pair of fair, sixsided dice. What is the pr  Difficulty: 700Level, Probability, Source: Veritas Prep  92  The positive value of x that satisfies the equation (1 + 2x)  Difficulty: 700Level, Algebra, Exponents/Powers, Source: Manhattan GMAT  93  If y = x + 5  x  5, then y can take how many integer vales?  Difficulty: 700Level, Absolute Values/Modulus, Source: GMAT Prep  94  4 individuals arrive separately at an orchestra concert with  Difficulty: 700Level, Probability, Source: Veritas Prep  95  How many different pairs of positive integers (a, b) satisfy the equat  Difficulty: 700Level, Algebra, Source: Other  Please specify  96  If 12x−5>7−6x, which of the following CANNOT be the  Difficulty: 700Level, Absolute Values/Modulus, Inequalities, Source: Veritas Prep  97  An escalator moves downward from street level to a subway platform at  Difficulty: 700Level, Arithmetic, Distance/Rate Problems, Source: Other  Please specify  98  If m and n are Integers, which of the following can be the result of  Difficulty: 700Level, Algebra, Exponents/Powers, Source: Other  Please specify  99  A fair coin is tossed 6 times. What is the probability of getting no  Difficulty: 700Level, Probability  100  Cassandra sets her watch to the correct time at noon. At the actual ti  Difficulty: 700Level, Word Problems, Work/Rate Problems, Source: Other  Please specify 
_________________
Originally posted by Bunuel on 21 Aug 2015, 02:49.
Last edited by Bunuel on 01 Apr 2020, 03:45, edited 1 time in total.




Math Expert
Joined: 02 Sep 2009
Posts: 62469

Re: 100 Hardest and easiest questions for PS
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Updated on: 01 Apr 2020, 03:45
100 Easiest Problem Solving Questions (Mar 1st, 2020  Apr 1st, 2020) 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: Sub600 Level, Arithmetic, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11  2  The price of a coat in a certain store is $500. If the price of the co  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016  3  Which of the following is equivalent to the pair of  Difficulty: Sub600 Level, Inequalities, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12  4  If n is an integer, which of the following must be even?  Difficulty: Sub600 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  5  If it is assumed that 60 percent of those who receive a questionnaire  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016  6  A bakery opened yesterday with its daily supply of 40 dozen  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11  7  In the equation above, k is a constant. If y = 17 when x = 2  Difficulty: Sub600 Level, Algebra, Source: GMAT Paper Tests, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12  8  If the population of a certain country increases at the rate  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 10  9  The ratio 2 to 1/3 is equal to the ratio  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11  10  On 3 sales John has received commissions of $240, $80, and $110, and  Difficulty: Sub600 Level, Word Problems, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st  11  If 2/(1+2/y)=1, then y =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10  12  If x = 1, then (x^4 + x^3 + x^2 + x) =  Difficulty: Sub600 Level, Algebra, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st  13  During a trip that they took together, Carmen, Juan, Maria, a  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019  14  Rectangular Floors X and Y have equal area. If Floor X is 12  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11  15  The table shows a summary of the ticket sales from four performances o  Difficulty: Sub600 Level, Arithmetic, Graphs and Illustrations, Source: Official Guide, Source: OG 2020, Source: OG 2019  16  Working at a constant rate, a copy machine makes 20 copies of a onepa  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019  17  The number 2  0.5 is how many times the number 1  0.5?  Difficulty: Sub600 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  18  What number when multiplied by 4/7 yields 6/7 as the result?  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st  19  If n is a prime number greater than 3, what is the remainder when n^2  Difficulty: Sub600 Level, Remainders, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12  20  If m is an integer such that (2)^2m = 2^{9  m}, then m=  Difficulty: Sub600 Level, Exponents/Powers, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st  21  What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3?  Difficulty: Sub600 Level, Algebra, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016  22  The sum S of the first n consecutive positive even integers is given  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019  23  In the figure above, what is the ratio of the measure of angle B to  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016  24  If x is negative and y is positive, which of the following must be  Difficulty: Sub600 Level, Number Properties, Source: Princeton Review  25  Each week, a clothing salesperson receives a commission equal  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019  26  Kelly and Chris packed several boxes with books. If Chris packed 60 pe  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: GMAT Paper Tests, Source: OG 12, Source: OG 11, Source: OG 10  27  0.1 + 0.1^2 + 0.1^3 =  Difficulty: Sub600 Level, Arithmetic, Exponents/Powers, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11  28  150 is what percent of 30 ?  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11  29  In the figure above, the coordinates of point V are  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10  30  A rectangular floor that measures 8 meters by 10 meters is to be cover  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016  31  Company C produces toy trucks at a cost of $5.00 each for the first 10  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016  32  1/3 +1/2  5/6 + 1/5 + 1/4  9/20 =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016  33  For which of the following values of s is (50+s)s an integer?  Difficulty: Sub600 Level, Arithmetic, Number Properties, Source: Veritas Prep  34  If ab > ab, which of the following must be true?  Difficulty: Sub600 Level, Inequalities, Number Properties, Source: Manhattan GMAT  35  A certain restaurant that regularly advertises through the mail has 1,  Difficulty: Sub600 Level, Arithmetic, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019  36  In the xycoordinate plane, if the point (0,2) lies on the graph of th  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019  37  The ratio of the length to the width of a rectangular advert  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11  38  What is the median of the numbers shown?  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019  39  If Mario was 32 years old 8 years ago, how old was he x year  Difficulty: Sub600 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  40  1/(1+1/3)1/(1+1/2)  Difficulty: Sub600 Level, Arithmetic, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12  41  If x is an even integer, which of the following is an odd integer?  Difficulty: Sub600 Level, Number Properties, Source: Official Guide [Pre2000], Source: OG 1988  42  If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Mixture Problems, Source: Official Guide  43  (1/2+1/3)/(1/4) =  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: Quant Review 1st  44  If (5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ?  Difficulty: Sub600 Level, Exponents/Powers, Source: Grockit  45  What is 3/5 of 5/8 of 2/3?  Difficulty: Sub600 Level, Arithmetic, Source: Manhattan GMAT  46  A fruitsalad mixture consists of apples, peaches, and grape  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10  47  Of the final grades received by the students in a certain  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10  48  The product X of two prime numbers is between 17 and 55. If  Difficulty: Sub600 Level, Number Properties, Source: GMAT Pill  49  For which of the following x is x+x>0 ?  Difficulty: Sub600 Level, Absolute Values/Modulus, Inequalities, Source: Math Revolution  50  John is traveling to a meeting that is 28 miles away. He nee  Difficulty: Sub600 Level, Distance/Rate Problems  51  As a salesperson, Phyllis can choose one of two methods of a  Difficulty: Sub600 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  52  Coins are dropped into a toll box so that the box is being  Difficulty: Sub600 Level, Geometry, Work/Rate Problems, Source: Official Guide, Source: OG 10  53  In the Johnsons' monthly budget, the dollar amounts allocate  Difficulty: Sub600 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  54  A certain builder is selling five homes for the following  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: GMAT Prep  55  (2 3/5  1 2/3)/(2/3  3/5)  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 10, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st  56  While a family was away on vacation, they paid a neighborhood boy $11  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019  57  −4(−20 − 5) =  Difficulty: Sub600 Level, Absolute Values/Modulus, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019  58  If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0  Difficulty: Sub600 Level, Arithmetic, Source: Grockit  59  If x is a positive integer and 4^x – 3 = y, which of the following CAN  Difficulty: Sub600 Level, Algebra, Exponents/Powers, Source: Official Guide, Source: OG 2020, Source: OG 2019  60  The amounts of time that three secretaries worked on a  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10  61  If Sally can paint a house in 4 hours, and John can paint the same hou  Difficulty: Sub600 Level, Work/Rate Problems  62  A gym class can be divided into 8 teams with an equal number  Difficulty: Sub600 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  63  If p/q < 1, and p and q are positive integers, which of the  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Inequalities, Must or Could be True Questions, Number Properties, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11  64  1/(31/(31/(31)))=  Difficulty: Sub600 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  65  A technician makes a roundtrip to and from a certain service center b  Difficulty: Sub600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016  66  A bag contains 7 red, 9 yellow, and 3 black balls. If a ball is pick  Difficulty: Sub600 Level, Combinations, Source: Other  Please specify  67  A rectangular garden is to be twice as long as it is wide.  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015  68  Three business partners, Q, R, and S, agree to divide their  Difficulty: Sub600 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  69  (1/5)^2  1/5*1/4 =  Difficulty: Sub600 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  70  If the figure provided is drawn to scale, which of the following point  Difficulty: Sub600 Level, Absolute Values/Modulus, Source: Grockit  71  A student's average (arithmetic mean) test score on 4 tests is 78. Wha  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12  72  If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  Difficulty: Sub600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st  73  Running at the same rate, 8 identical machines can produce 560 papercl  Difficulty: Sub600 Level, Work/Rate Problems, Source: Magoosh  74  If x + y = 7 and x – y = 3, then x^2  y^2 =  Difficulty: Sub600 Level, Algebra, Source: Manhattan GMAT  75  If Albert can travel 200 miles in 4 hours, how many hours will it take  Difficulty: Sub600 Level, Work/Rate Problems, Source: Princeton Review  76  In the figure shown, what is the value of x ?  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019  77  Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  Difficulty: Sub600 Level, Distance/Rate Problems, Source: Manhattan GMAT  78  Running at the same constant rate, 6 identical machines can  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10  79  Two years ago, Sam put $1,000 into a savings account.  Difficulty: Sub600 Level, Percents and Interest Problems  80  4 (205)= ?  Difficulty: Sub600 Level, Absolute Values/Modulus, Arithmetic  81  A certain machine produces 1,000 units of product P per hour. Working  Difficulty: Sub600 Level, Work/Rate Problems, Source: GMAT Prep  82  (1/2  1/3) + (1/3  1/4) + (1/4  1/5) + (1/5  1/6) =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: OG 2020, Source: OG 2019  83  If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?  Difficulty: Sub600 Level, Algebra, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11  84  (2+2 * sqrt (6) )/2  Difficulty: Sub600 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  85  What is 45 percent of 7/12 of 240 ?  Difficulty: Sub600 Level, Arithmetic, Percents and Interest Problems, Source: Official Guide, Source: OG 10  86  1/(0.751)=  Difficulty: Sub600 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  87  The sum of the weekly salaries of 5 employees is $3,250. If each of th  Difficulty: Sub600 Level, Percents and Interest Problems, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018  88  If the median of the numbers in list I above is equal to the  Difficulty: Sub600 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  89  Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016  90  If f(x)= 5x^3 2x+8 and g(y)= 6y4, then g(f(x)) =  Difficulty: Sub600 Level, Algebra, Functions and Custom Characters, Source: 800 Score  91  If O is the center of the circle above, what fraction of the circular  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10  92  If 3  x = 2x  3, then 4x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st  93  If p is an even integer and q is an odd integer, which of the followin  Difficulty: Sub600 Level, Must or Could be True Questions, Number Properties, Source: GMAT Paper Tests, Source: OG 12, Source: OG 11, Source: OG 10  94  If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =  Difficulty: Sub600 Level, Functions and Custom Characters, Number Properties, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 11, Source: OG 10  95  A committee is composed of w women and m men. If 3 women and  Difficulty: Sub600 Level, Probability, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10  96  (1+5^1/2)(15^1/2)=  Difficulty: Sub600 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  97  If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?  Difficulty: Sub600 Level, Algebra, Functions and Custom Characters, Source: GMAT Club Tests  98  Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and  Difficulty: Sub600 Level, Geometry, Source: Economist GMAT Tutor, Source: Quant Review 2020, Source: Quant Review 2019, Source: Quant Review 2018, Source: Quant Review 2017  99  If 60 percent of a rectangular floor is covered by a rectang  Difficulty: Sub600 Level, Arithmetic, Geometry, Source: Official Guide, Source: OG 10, Source: Quant Review 2nd, Source: Quant Review 1st  100  Ron is 4 inches taller than Amy, and Barbara is 1 inch taller than Ron  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019 
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Originally posted by Bunuel on 21 Aug 2015, 02:52.
Last edited by Bunuel on 01 Apr 2020, 03:45, edited 1 time in total.




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Re: 100 Hardest and easiest questions for PS
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21 Aug 2015, 04:20
Older version of this topic with 100 hardest questions is HERE.
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19 May 2016, 13:46
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 inbetween?



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20 May 2016, 00:53
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 inbetween? Check our Questions Bank, where you can find 600700 level questions. Also, visit our Search Page to filter questions by various categories. Hope it helps.
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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 inbetween? Check our Questions Bank, where you can find 600700 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
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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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11 Sep 2016, 02:25
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: anickeladimeand2identicalquartersarearranged59417.htmlPLEASE READ AND FOLLOW: rulesforpostingpleasereadthisbeforeposting133935.html
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Re: 100 Hardest and easiest questions for PS
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07 Mar 2018, 22:18
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 as of April 2019
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29 May 2019, 21:55
Bunuel wrote: 100 Hardest Problem Solving Questions (Apr 1st, 2019  May 1st, 2019)Are you familiar with the GMAT Club's timer Hi Bunuel, Is there a similar collation of data sufficiency questions as well?



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Re: 100 Hardest and easiest questions for PS as of April 2019
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29 May 2019, 22:47
themindful wrote: Bunuel wrote: 100 Hardest Problem Solving Questions (Apr 1st, 2019  May 1st, 2019)Are you familiar with the GMAT Club's timer Hi Bunuel, Is there a similar collation of data sufficiency questions as well? Have you tried checking DS forum? Here it is: https://gmatclub.com/forum/150hardest ... 04132.html
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Re: 100 Hardest and easiest questions for PS as of June 2019
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11 Jul 2019, 09:17
Thanks , was searching something like this , all at one place !



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100 Hardest and easiest questions for PS as of June 2019
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29 Jul 2019, 06:22
Bunuel Can we get all of this in a single PDF? Actually I was looking for some practice set PSSCCRRC which i could print and take test? Thanks for all your efforts.Really appreciate it.



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Re: 100 Hardest and easiest questions for PS as of November 2019
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20 Dec 2019, 15:34
Bunuel Is there any way I can download the PDF file containing all these questions?



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Re: 100 Hardest and easiest questions for PS as of December 2019
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22 Jan 2020, 03:57
Thanks for sharing




Re: 100 Hardest and easiest questions for PS as of December 2019
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22 Jan 2020, 03:57






