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100 Hardest and easiest questions for PS
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Updated on: 01 Jun 2019, 04:45
100 Hardest Problem Solving Questions (May 1st, 2019  Jun 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  An isosceles triangle with one angle of 120° is inscribed in  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  In the figure, point D divides side BC of triangle ABC into segments  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  4  If two integers are chosen at random out of the set {2, 5, 7, 8}, what  Difficulty: 700Level, Number Properties, Probability, Source: Manhattan GMAT  5  The sum of four consecutive odd numbers is equal to the sum  Difficulty: 700Level, Sequences  6  In the xy plane, point (p, q) is a lattice point if both p  Difficulty: 700Level, Coordinate Geometry, Geometry, Source: Magoosh  7  If the product of all the unique positive divisors of n, a positive in  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT  8  A list of numbers has six positive integers. Three of those integers a  Difficulty: 700Level, Statistics and Sets Problems, Source: Veritas Prep  9  Daniel is playing a dice game in which a dice is rolled 5 times  Difficulty: 700Level, Probability, Source: Other  Please specify  10  Arrow AB which is a line segment exactly 5 units along with  Difficulty: 700Level, Coordinate Geometry, Source: Manhattan GMAT  11  A bus from city M is traveling to city N at a constant speed  Difficulty: 700Level, Distance/Rate Problems, Source: GMAT Club Tests  12  The function g(x) is defined for integers x such that if x  Difficulty: 700Level, Algebra, Functions and Custom Characters  13  A box contains three pairs of blue gloves and two pairs of  Difficulty: 700Level, Probability, Source: GMAT Club Tests  14  If 10!  2*(5!)^2 is divisible by 10^n, what is the greatest  Difficulty: 700Level, Algebra, Divisibility/Multiples/Factors, Number Properties  15  How many integral values of k are possible, if the lines 3x+  Difficulty: 700Level, Coordinate Geometry  16  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  17  In a certain mathematical activity, we have five cards with five diffe  Difficulty: 700Level, Combinations, Source: Magoosh  18  Twenty meters of wire is available to fence off a flower bed in the  Difficulty: 700Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor  19  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  20  An integer between 1 and 300, inclusive, is chosen at random  Difficulty: 700Level, Number Properties, Probability, Source: Manhattan GMAT  21  How many even 3 digit integers greater than 700 with distinct non zero  Difficulty: 700Level, Combinations, Source: Official Guide  22  Let a “2placer” be a terminating decimal, between 0 and 1, for which  Difficulty: 700Level, Combinations, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT  23  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  24  A sequence of numbers (geometric sequence) is given by the  Difficulty: 700Level, Absolute Values/Modulus, Exponents/Powers, Sequences, Source: Grockit  25  A bag contains 3 red and 2 black ball. Another bag contains 4 red and  Difficulty: 700Level, Probability  26  What is the probability of getting a sum of 8 or 14 when  Difficulty: 700Level, Probability  27  A botanist selects n^2 trees on an island and studies (2n +  Difficulty: 700Level, Remainders, Source: Princeton Review  28  On a partly cloudy day, Derek decides to walk back from work  Difficulty: 700Level, Distance/Rate Problems, Source: Veritas Prep  29  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  30  In a certain sequence, every term after the first is determi  Difficulty: 700Level, Sequences, Source: Manhattan GMAT  31  How many 4digit numbers can be formed by using the digits 0  Difficulty: 700Level, Combinations  32  A customer using a certain telephone calling plan pays a fee  Difficulty: 700Level, Word Problems, Source: Kaplan  33  How many numbers that are not divisible by 6 divide evenly  Difficulty: 700Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT  34  Ms. Barton has four children. You are told correctly that she has at  Difficulty: 700Level, Probability, Source: GMAT Prep EP1, Source: Manhattan GMAT  35  The figure above shows gas mileage at different speeds for all compact  Difficulty: 700Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other  Please specify  36  How many values can the integer p=x+3x3 assume?  Difficulty: 700Level, Absolute Values/Modulus  37  Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa  Difficulty: 700Level, Work/Rate Problems  38  In a certain sequence, each term beyond the second term is equal to th  Difficulty: 700Level, Sequences, 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  The elevator in an elevenstory office building travels at  Difficulty: 700Level, Distance/Rate Problems  41  If a circle passes through points (9,2*sqrt(3))  Difficulty: 700Level, Coordinate Geometry, Geometry, Source: Other  Please specify  42  How many 2inch by 3inch rectangular tiles are required to tile this  Difficulty: 700Level, Geometry, Source: Other  Please specify  43  How many different combinations of outcomes can you make by  Difficulty: 700Level, Combinations  44  A sheet of paper ABDE is a 12by18inch rectangle, as shown in Figure  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  45  If x and y are integers and 2x + 9y = 57, then the least possible valu  Difficulty: 700Level, Algebra, Source: Veritas Prep  46  What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x  Difficulty: 700Level, Exponents/Powers, Source: GMATPrepNow  47  Darcy, Gina, Ray and Susan will be the only participants at a meeting.  Difficulty: 700Level, Probability, Source: Kaplan  48  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  49  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  50  A big cube is formed by rearranging the 160 coloured and 56  Difficulty: 700Level, Geometry, Percents and Interest Problems  51  Of the threedigit integers greater than 660, how many have  Difficulty: 700Level, Combinations  52  We define f(n) as the highest nonnegative integer power of 7 that  Difficulty: 700Level, Divisibility/Multiples/Factors, Exponents/Powers, Functions and Custom Characters  53  A cylindrical tank of radius R and height H must be redesign  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  54  In the diagram, points A, B, and C are on the diameter of  Difficulty: 700Level, Geometry, Source: Kaplan  55  A railroad worker finds himself trapped inside a tunnel at a point  Difficulty: 700Level, Algebra, Distance/Rate Problems, Word Problems, Source: Other  Please specify  56  Pam and Robin each roll a pair of fair, sixsided dice. What is the pr  Difficulty: 700Level, Probability, Source: Veritas Prep  57  Set S consists of numbers 2, 3, 6, 48, and 164. Number K is  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Probability  58  If the probability of rain on any given day is 50%, what is the probab  Difficulty: 700Level, Probability, Source: Veritas Prep  59  How many different pairs of integers (a, b) exist such that 2 <= a <=  Difficulty: 700Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT  60  Points A and B are 120 km apart. A motorcyclist starts from  Difficulty: 700Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT  61  Louie takes out a threemonth loan of $1000. The lender  Difficulty: 700Level, Percents and Interest Problems, Source: Magoosh  62  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  63  On the number line shown, the distance between 0 and a . . .  Difficulty: 700Level, Absolute Values/Modulus, Algebra, Source: eGMAT  64  A bag contains 10 bulbs and 5 torches, out of which 3 bu  Difficulty: 700Level, Probability, Source: eGMAT  65  Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and  Difficulty: 700Level, Mixture Problems  66  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  67  Three men A, B and C working together can do a work in 30 da  Difficulty: 700Level, Work/Rate Problems  68  If a, b are integers, and (ab)^2 + 8b^2=108, what is the number of th  Difficulty: 700Level, Algebra, Source: Math Revolution  69  How many integers less than 100 have exactly 4 odd factors b  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  70  It takes 6 days for 3 women and 2 men working together to  Difficulty: 700Level, Work/Rate Problems, Source: 800 Score  71  Random Pack 1, Question 3 Three circles with radii...  Difficulty: 700Level, Geometry, Source: EMPOWERgmat  72  If 12x−5>7−6x, which of the following CANNOT be the  Difficulty: 700Level, Absolute Values/Modulus, Inequalities, Source: Veritas Prep  73  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  74  A terrible disease sweeps around the world, luckily only affecting 1  Difficulty: 700Level, Probability, Source: Other  Please specify  75  If a is the sum of x consecutive positive integers. b is the  Difficulty: 700Level, Statistics and Sets Problems, Source: Manhattan GMAT  76  How many distinct fourdigit numbers can be formed by the  Difficulty: 700Level, Combinations, Source: Magoosh  77  If x is the reciprocal of a positive integer, then the maximum value o  Difficulty: 700Level, Min/Max Problems, Number Properties, Source: Manhattan GMAT  78  The remainder when N is divided by 18 is 16. Given that N is  Difficulty: 700Level, Remainders  79  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  80  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  81  Consider a regular polygon of p sides. The number of values  Difficulty: 700Level, Geometry, Number Properties  82  Last year Isabella took 7 math tests and received 7 different scores,  Difficulty: 700Level, Arithmetic, Number Properties, Source: Other  Please specify  83  The number 523abc is divisible by 7,8,9. Then what is the  Difficulty: 700Level, Divisibility/Multiples/Factors  84  When the number 777 is divided by the integer N, the remaind  Difficulty: 700Level, Remainders, Source: 800 Score  85  The high temperature of a summer day on Fire Island is always one of  Difficulty: 700Level, Probability, Source: Princeton Review  86  An escalator moves downward from street level to a subway platform at  Difficulty: 700Level, Arithmetic, Distance/Rate Problems, Source: Other  Please specify  87  Brian is analyzing the performance of certain stocks. He finds that  Difficulty: 700Level, Statistics and Sets Problems, Word Problems, Source: Princeton Review  88  A fair coin is tossed 6 times. What is the probability of getting no  Difficulty: 700Level, Probability  89  Set A is composed of nine numbers, labeled A1 through A9. Set B is als  Difficulty: 700Level, Statistics and Sets Problems, Source: Manhattan GMAT  90  How many even integers n, where 100 <= n <= 200, are divisib  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  91  A notsogood clockmaker has four clocks on display in the w  Difficulty: 700Level, Distance/Rate Problems, Source: PowerPrep  92  If y = x + 5x  5, then y can take how many integer  Difficulty: 700Level, Absolute Values/Modulus, Source: GMAT Prep  93  If xy > 0 and (x − 2)(y + 1) < 0, then which of the following must be  Difficulty: 700Level, Absolute Values/Modulus, Inequalities, Must or Could be True Questions, Source: Veritas Prep  94  If a and b are distinct integers and a^b = b^a, how many  Difficulty: 700Level, Exponents/Powers, Number Properties, Source: Veritas Prep  95  The positive value of x that satisfies the equation (1 + 2x)  Difficulty: 700Level, Algebra, Exponents/Powers, Source: Manhattan GMAT  96  How many different fourletter words can be formed (the words don't  Difficulty: 700Level, Combinations  97  a, b, c, d are positive integers such that exactly one of  Difficulty: 700Level, Inequalities  98  A mixed doubles tennis game is to be played between two team  Difficulty: 700Level, Combinations  99  If integer C is randomly selected from 20 to 99, inclusive.  Difficulty: 700Level, Divisibility/Multiples/Factors, Probability, Source: Manhattan GMAT  100  Question of the week  30 (A group of 4 persons is to be selected ...)  Difficulty: 700Level, Combinations, Source: eGMAT 
_________________
Originally posted by Bunuel on 21 Aug 2015, 03:49.
Last edited by Bunuel on 01 Jun 2019, 04:45, edited 1 time in total.




Math Expert
Joined: 02 Sep 2009
Posts: 55801

Re: 100 Hardest and easiest questions for PS
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Updated on: 01 Jun 2019, 04:45
100 Easiest Problem Solving Questions (May 1st, 2019  Jun 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: 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  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  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  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  8  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  9  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  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 the population of a certain country increases at the rate  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 10  12  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  13  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  14  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 2019  15  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  16  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  17  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  18  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 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016  19  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  20  If n is a prime number greater than 3, what is the remainder  Difficulty: Sub600 Level, Remainders, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016  21  If n is a prime number greater than 3, what is the remainder  Difficulty: Sub600 Level, Number Properties, Source: Official Guide, Source: OG 2015, Source: OG 12  22  For which of the following values of s is (50+s)s an integer?  Difficulty: Sub600 Level, Arithmetic, Number Properties, Source: Veritas Prep  23  Each week, a clothing salesperson receives a commission equal  Difficulty: Sub600 Level, Word Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019  24  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  25  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  26  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  27  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  28  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  29  The sum S of the first n consecutive positive even integers is given  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: Quant Review 2019  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  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  32  If x is negative and y is positive, which of the following must be  Difficulty: Sub600 Level, Number Properties, Source: Princeton Review  33  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  34  If ab > ab, which of the following must be true?  Difficulty: Sub600 Level, Inequalities, Number Properties, Source: Manhattan GMAT  35  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  36  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  37  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  38  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  39  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  40  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  41  If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is  Difficulty: Sub600 Level, Mixture Problems, Source: Official Guide  42  What is the median of the numbers shown?  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide, Source: OG 2020, Source: OG 2019  43  Running at the same rate, 8 identical machines can produce 560 papercl  Difficulty: Sub600 Level, Work/Rate Problems, Source: Magoosh  44  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  45  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 2019, Source: Quant Review 2018, Source: Quant Review 2017, Source: Quant Review 2016  46  (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  47  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  48  The product X of two prime numbers is between 17 and 55. If  Difficulty: Sub600 Level, Number Properties, Source: GMAT Pill  49  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  50  (1/2+1/3)/(1/4) =  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10, Source: Quant Review 1st  51  −4(−20 − 5) =  Difficulty: Sub600 Level, Absolute Values/Modulus, Arithmetic, Source: Official Guide, Source: Quant Review 2019  52  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  53  A certain builder is selling five homes for the following  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: GMAT Prep  54  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  55  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  56  The amounts of time that three secretaries worked on a  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide, Source: OG 10  57  (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  58  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  59  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  60  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  61  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  62  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  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  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  65  (2 3/5  1 2/3)/(2/3  3/5)  Difficulty: Sub600 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  66  John is traveling to a meeting that is 28 miles away. He nee  Difficulty: Sub600 Level, Distance/Rate Problems  67  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  68  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  69  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  70  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  71  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  72  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  73  If the figure provided is drawn to scale, which of the following point  Difficulty: Sub600 Level, Absolute Values/Modulus, Source: Grockit  74  If (5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ?  Difficulty: Sub600 Level, Exponents/Powers, Source: Grockit  75  What is 3/5 of 5/8 of 2/3?  Difficulty: Sub600 Level, Arithmetic, Source: Manhattan GMAT  76  (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  77  If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0  Difficulty: Sub600 Level, Arithmetic, Source: Grockit  78  In the figure shown, what is the value of x ?  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019  79  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  80  4 (205)= ?  Difficulty: Sub600 Level, Absolute Values/Modulus, Arithmetic  81  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  82  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  83  If x + y = 7 and x – y = 3, then x^2  y^2 =  Difficulty: Sub600 Level, Algebra, Source: Manhattan GMAT  84  Eight identical machines can produce 360 aluminum cans per  Difficulty: Sub600 Level, Work/Rate Problems, Source: Princeton Review  85  (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  86  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  87  Two years ago, Sam put $1,000 into a savings account.  Difficulty: Sub600 Level, Percents and Interest Problems  88  If x and y are odd integers, which of the following must always be a  Difficulty: Sub600 Level, Number Properties, Source: Other  Please specify  89  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 2019, Source: Quant Review 2018, Source: Quant Review 2017  90  Of the five coordinates associated with points A, B, C, D  Difficulty: Sub600 Level, Absolute Values/Modulus, Coordinate Geometry, Source: Official Guide, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10  91  Root(80)+root(125)  Difficulty: Sub600 Level, Roots, Source: GMAT Paper Tests, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015, Source: OG 12  92  The figure above shows a path around a triangular piece of land. Mary  Difficulty: Sub600 Level, Geometry, Source: Official Guide, Source: OG 2020, Source: OG 2019, Source: OG 2018, Source: OG 2017, Source: OG 2016  93  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  94  If Sally can paint a house in 4 hours, and John can paint the same hou  Difficulty: Sub600 Level, Work/Rate Problems  95  In the xyplane, what is the slope of the line with equation  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide, Source: OG 2018, Source: OG 2017, Source: OG 2016, Source: OG 2015  96  The price of a certain television set is discounted by 10 pe  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 10, Source: Quant Review 2016, Source: Quant Review 2nd, Source: Quant Review 1st  97  A bag contains 7 red, 9 yellow, and 3 black balls. If a ball is pick  Difficulty: Sub600 Level, Combinations, Source: Other  Please specify  98  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  99  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  100  A glucose solution contains 15 grams of glucose per 100 cubic centimet  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide, Source: OG 2016, Source: OG 2015, Source: OG 12, Source: OG 11, Source: OG 10 
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Originally posted by Bunuel on 21 Aug 2015, 03:52.
Last edited by Bunuel on 01 Jun 2019, 04:45, edited 1 time in total.




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Re: 100 Hardest and easiest questions for PS
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21 Aug 2015, 05:20
Older version of this topic with 100 hardest questions is HERE.
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Re: 100 Hardest and easiest questions for PS
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19 May 2016, 14:46
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, 01:53
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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Re: 100 Hardest and easiest questions for PS
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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 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, 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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11 Sep 2016, 03:25
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, 23:18
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, 22:55
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, 23:47
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 April 2019
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29 May 2019, 23:47






