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150 Hardest and easiest questions for PS [#permalink]
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150 Hardest Problem Solving Questions (Mar 1st, 2018  Apr 1st, 2018) 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 150 questions from PS forum. Problem Solving (PS)  Rank  Title  Topics  1  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  2  In the figure, point D divides side BC of triangle ABC into  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  3  The sum of four consecutive odd numbers is equal to the sum  Difficulty: 700Level, Sequences  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  An isosceles triangle with one angle of 120° is inscribed in  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  6  If the product of all the unique positive divisors of n, a p  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT  7  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  8  A box contains three pairs of blue gloves and two pairs of  Difficulty: 700Level, Probability, Source: GMAT Club Tests  9  Arrow AB which is a line segment exactly 5 units along with  Difficulty: 700Level, Coordinate Geometry, Source: Manhattan GMAT  10  Daniel is playing a dice game in which a dice is rolled 5 times  Difficulty: 700Level, Probability, Source: Other  Please specify  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  In the xy plane, point (p, q) is a lattice point if both p  Difficulty: 700Level, Coordinate Geometry, Geometry, Source: Magoosh  14  How many even 3 digit integers greater than 700 with  Difficulty: 700Level, Combinations, Source: Official Guide  15  If 10!  2*(5!)^2 is divisible by 10^n, what is the greatest  Difficulty: 700Level, Algebra, Divisibility/Multiples/Factors, Number Properties  16  Twenty meters of wire is available to fence off a flower bed in the  Difficulty: 700Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor  17  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  18  A list of numbers has six positive integers. Three of those integers  Difficulty: 700Level, Statistics and Sets Problems, Source: Veritas Prep  19  If a, b are integers, and (ab)^2 + 8b^2=108, what is the number of th  Difficulty: 700Level, Algebra, Source: Math Revolution  20  In a certain mathematical activity, we have five cards with five diffe  Difficulty: 700Level, Combinations, Source: Magoosh  21  How many numbers that are not divisible by 6 divide evenly  Difficulty: 700Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT  22  An integer between 1 and 300, inclusive, is chosen at random  Difficulty: 700Level, Number Properties, Probability, Source: Manhattan GMAT  23  A sequence of numbers (geometric sequence) is given by the  Difficulty: 700Level, Absolute Values/Modulus, Exponents/Powers, Sequences, Source: Grockit  24  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  25  What is the probability of getting a sum of 8 or 14 when  Difficulty: 700Level, Probability  26  On a partly cloudy day, Derek decides to walk back from work  Difficulty: 700Level, Distance/Rate Problems, Source: Veritas Prep  27  How many values can the integer p=x+3x3 assume?  Difficulty: 700Level, Absolute Values/Modulus  28  Let a “2placer” be a terminating decimal, between 0 and 1, for which  Difficulty: 700Level, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT  29  Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa  Difficulty: 700Level, Work/Rate Problems  30  An alloy of copper and aluminum has 40% copper. An alloy of Copper and  Difficulty: 700Level, Mixture Problems, Source: Other  Please specify  31  A big cube is formed by rearranging the 160 coloured and 56  Difficulty: 700Level, Geometry, Percents and Interest Problems  32  In a certain sequence, every term after the first is determi  Difficulty: 700Level, Sequences, Source: Manhattan GMAT  33  How many different pairs of integers (a, b) exist such that 2 <= a <=  Difficulty: 700Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT  34  A botanist selects n^2 trees on an island and studies (2n +  Difficulty: 700Level, Remainders, Source: Princeton Review  35  We define f(n) as the highest nonnegative integer power of 7 that  Difficulty: 700Level, Divisibility/Multiples/Factors, Exponents/Powers, Functions and Custom Characters  36  List T consist of 30 positive decimals, none of which is an  Difficulty: 700Level, Min/Max Problems, Source: Official Guide  37  Darcy, Gina, Ray and Susan will be the only participants at a meeting.  Difficulty: 700Level, Probability, Source: Kaplan  38  Pam and Robin each roll a pair of fair, sixsided dice. What is the pr  Difficulty: 700Level, Probability, Source: Veritas Prep  39  How many integral values of k are possible, if the lines 3x+  Difficulty: 700Level, Coordinate Geometry  40  If a circle passes through points (9,2*sqrt(3))  Difficulty: 700Level, Coordinate Geometry, Geometry, Source: Other  Please specify  41  How many different combinations of outcomes can you make by  Difficulty: 700Level, Combinations  42  How many integers less than 100 have exactly 4 odd factors b  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  43  Ms. Barton has four children. You are told correctly that sh  Difficulty: 700Level, Probability, Source: GMAT Prep EP1, Source: Manhattan GMAT  44  The elevator in an elevenstory office building travels at  Difficulty: 700Level, Distance/Rate Problems  45  Set S consists of numbers 2, 3, 6, 48, and 164. Number K is  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Probability  46  In the diagram, points A, B, and C are on the diameter of  Difficulty: 700Level, Geometry, Source: Kaplan  47  Three men A, B and C working together can do a work in 30 da  Difficulty: 700Level, Work/Rate Problems  48  Random Pack 1, Question 3 Three circles with radii...  Difficulty: 700Level, Geometry, Source: EMPOWERgmat  49  A trail mix company keeps costs down by employing the peanuts:cashews:  Difficulty: 700Level, Fractions/Ratios/Decimals, Source: Veritas Prep  50  A bag contains 3 red and 2 black ball. Another bag contains 4 red and  Difficulty: 700Level, Probability  51  The figure above shows gas mileage at different speeds for all compact  Difficulty: 700Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other  Please specify  52  Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and  Difficulty: 700Level, Mixture Problems  53  If integer C is randomly selected from 20 to 99, inclusive.  Difficulty: 700Level, Divisibility/Multiples/Factors, Probability, Source: Manhattan GMAT  54  Consider a regular polygon of p sides. The number of values  Difficulty: 700Level, Geometry, Number Properties  55  How many 4digit numbers can be formed by using the digits 0  Difficulty: 700Level, Combinations  56  Points A and B are 120 km apart. A motorcyclist starts from  Difficulty: 700Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT  57  If 12x−5>7−6x, which of the following CANNOT be the  Difficulty: 700Level, Absolute Values/Modulus, Inequalities, Source: Veritas Prep  58  A customer using a certain telephone calling plan pays a fee  Difficulty: 700Level, Word Problems, Source: Kaplan  59  The positive value of x that satisfies the equation (1 + 2x)  Difficulty: 700Level, Algebra, Exponents/Powers, Source: Manhattan GMAT  60  A terrible disease sweeps around the world, luckily only affecting 1  Difficulty: 700Level, Probability, Source: Other  Please specify  61  If a and b are distinct integers and a^b = b^a, how many  Difficulty: 700Level, Exponents/Powers, Number Properties, Source: Veritas Prep  62  The function p(n) on nonnegative integer n is defined in  Difficulty: 700Level, Exponents/Powers, Functions and Custom Characters, Source: Manhattan GMAT  63  Bill has a set of 6 black cards and a set of 6 red cards  Difficulty: 700Level, Combinations, Probability, Source: Other  Please specify  64  When the number 777 is divided by the integer N, the remaind  Difficulty: 700Level, Remainders, Source: 800 Score  65  Louie takes out a threemonth loan of $1000. The lender  Difficulty: 700Level, Percents and Interest Problems, Source: Magoosh  66  A set of five positive integers has an arithmetic mean of 150. A parti  Difficulty: 700Level, Number Properties, Source: Veritas Prep  67  If x and y are integers and 2x + 9y = 57, then the least possible valu  Difficulty: 700Level, Algebra, Source: Veritas Prep  68  For positive integers k and n, the kpower remainder of n is defined  Difficulty: 700Level, Min/Max Problems, Number Properties, Remainders, Source: Manhattan GMAT  69  A cylindrical tank of radius R and height H must be redesign  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  70  A sheet of paper ABDE is a 12by18inch rectangle, as shown in Figure  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  71  On the number line shown, the distance between 0 and a . . .  Difficulty: 700Level, Absolute Values/Modulus, Algebra, Source: eGMAT  72  Allen starts from X, goes to Y. At the same time Bob starts from Y and  Difficulty: 700Level, Distance/Rate Problems, Source: Other  Please specify  73  A bag contains 10 bulbs and 5 torches, out of which 3 bu  Difficulty: 700Level, Probability, Source: eGMAT  74  If a is the sum of x consecutive positive integers. b is the  Difficulty: 700Level, Statistics and Sets Problems, Source: Manhattan GMAT  75  A man arrives at a railway station 90 minutes before the tim  Difficulty: 700Level, Distance/Rate Problems  76  What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x  Difficulty: 700Level, Exponents/Powers, Source: GMATPrepNow  77  Brian is analyzing the performance of certain stocks. He finds that  Difficulty: 700Level, Statistics and Sets Problems, Word Problems, Source: Princeton Review  78  The remainder when N is divided by 18 is 16. Given that N is  Difficulty: 700Level, Remainders  79  If y = x + 5x  5, then y can take how many integer  Difficulty: 700Level, Absolute Values/Modulus, Source: GMAT Prep  80  4 individuals arrive separately at an orchestra concert with  Difficulty: 700Level, Probability, Source: Veritas Prep  81  In how many ways can 5 different marbles be distributed in 4  Difficulty: 700Level, Combinations, Source: GMAT Pill  82  Of the threedigit integers greater than 660, how many have  Difficulty: 700Level, Combinations  83  An escalator moves downward from street level to a subway platform at  Difficulty: 700Level, Arithmetic, Distance/Rate Problems, Source: Other  Please specify  84  How many distinct fourdigit numbers can be formed by the  Difficulty: 700Level, Combinations, Source: Magoosh  85  In the game of Yahtzee, a "full house" occurs when a player  Difficulty: 700Level, Probability, Source: Veritas Prep  86  Baseball's World Series matches 2 teams against each other  Difficulty: 700Level, Probability, Source: Manhattan GMAT  87  How many even integers n, where 100 <= n <= 200, are divisib  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  88  A fair coin is tossed 6 times. What is the probability of getting no  Difficulty: 700Level, Probability  89  At the post office, a letter must go through a sorting process with fo  Difficulty: 700Level, Arithmetic, Fractions/Ratios/Decimals, Word Problems  90  Jerry and Jim run a race of 2000 m. First, Jerry gives Jim  Difficulty: 700Level, Distance/Rate Problems, Source: GMAT Paper Tests  91  The number 523abc is divisible by 7,8,9. Then what is the  Difficulty: 700Level, Divisibility/Multiples/Factors  92  If x is the reciprocal of a positive integer, then the maximum value o  Difficulty: 700Level, Min/Max Problems, Number Properties, Source: Manhattan GMAT  93  a, b, c, d are positive integers such that exactly one of  Difficulty: 700Level, Inequalities  94  What is the last nonzero digit of expression  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Source: Other  Please specify  95  Suppose x is an integer such that (x^2−x−1)^(x+2)=1  Difficulty: 700Level, Algebra, Source: Veritas Prep  96  Suppose a “Secret Pair” number is a fourdigit number in which two adj  Difficulty: 700Level, Combinations, Source: Magoosh  97  Set A is composed of nine numbers, labeled A1 through A9. Set B is als  Difficulty: 700Level, Statistics and Sets Problems, Source: Manhattan GMAT  98  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  99  How many triangles with positive area can be drawn on the  Difficulty: 700Level, Coordinate Geometry, Geometry  100  Two different primes may be said to “rhyme” around an integer if they  Difficulty: 700Level, Number Properties, Source: Manhattan GMAT  101  Brenda and Sally run in opposite direction on a circular tra  Difficulty: 700Level, Distance/Rate Problems  102  For how many different pairs of positive integers (a, b) can  Difficulty: 700Level, Arithmetic, Source: Manhattan GMAT  103  How many 3digit integers between 100 and 200 have a digit  Difficulty: 700Level, Combinations, Source: Kaplan  104  x + 3 = y 4, where x and y are nonzer  Difficulty: 700Level, Algebra, Inequalities, Min/Max Problems, Source: eGMAT  105  Pipe A and Pipe B fill water into a tank of capacity 1000 litres at  Difficulty: 700Level, Work/Rate Problems, Source: Other  Please specify  106  A cyclist travels the length of a bike path that is 225  Difficulty: 700Level, Distance/Rate Problems, Inequalities, Source: Manhattan GMAT, Source: PowerPrep  107  John works twice as fast as Peter, but John takes a half hour break af  Difficulty: 700Level, Work/Rate Problems, Source: Other  Please specify  108  There are 100 freshmen at a particular college, all of whom  Difficulty: 700Level, Overlapping Sets  109  Which of the following is/are true?  Difficulty: 700Level, Absolute Values/Modulus, Inequalities  110  In a village of 100 households, 75 have at least one DVD player, 80  Difficulty: 700Level, Overlapping Sets, Source: 800 Score, Source: GMAT Prep  111  On planet Simplon, each year has 12 months, each of which  Difficulty: 700Level, Fractions/Ratios/Decimals, Source: Veritas Prep  112  A dealer offers a cash discount of 20% and still makes a pro  Difficulty: 700Level, Arithmetic, Percents and Interest Problems  113  How many positive integers less than 1000 are multiples of 5  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  114  Of a group of people, 10 play piano, 11 play guitar, 14 play  Difficulty: 700Level, Overlapping Sets, Source: Veritas Prep  115  How many different fourletter words can be formed (the words don't  Difficulty: 700Level, Combinations  116  Mike started working at 18 and retires at 60. He spent the first 1/5  Difficulty: 700Level, Fractions/Ratios/Decimals, Source: Other  Please specify  117  Matt is touring a nation in which coins are issued in two am  Difficulty: 700Level, Combinations, Source: Veritas Prep  118  If m^2 < 225 and n  m = 10, what is the sum f the smallest  Difficulty: 700Level, Inequalities, Min/Max Problems, Source: GMAT Club Tests  119  Ben and Shari have invited three other couples to their apar  Difficulty: 700Level, Combinations, Source: Princeton Review  120  A certain company plans to sell Product X for p dollars per  Difficulty: 700Level, Probability  121  Theresa is a basketball player practicing her free throws. On her fir  Difficulty: 700Level, Fractions/Ratios/Decimals, Probability, Source: Magoosh  122  A set of consecutive positive integers beginning with 1 is  Difficulty: 700Level, Statistics and Sets Problems  123  Alan’s regular hourly wage is 1.5 times Barney’s regular  Difficulty: 700Level, Number Properties, Source: Manhattan GMAT  124  If x is any integer from 6 to 2 inclusive, how many  Difficulty: 700Level, Absolute Values/Modulus, Inequalities, Source: GMATPrepNow  125  5 letters have to be put in 5 different envelopes numbered 1 through 5  Difficulty: 700Level, Probability, Source: Other  Please specify  126  Ax(y) is an operation that adds 1 to y  Difficulty: 700Level, Functions and Custom Characters  127  A and B are two laborers who have been given the task to build a house  Difficulty: 700Level, Word Problems, Work/Rate Problems, Source: eGMAT  128  How many combinations of three letters taken from letters  Difficulty: 700Level, Combinations  129  A cyclist travels the length of a bike path that is 225  Difficulty: 700Level, Min/Max Problems, Word Problems, Source: Manhattan GMAT  130  A notsogood clockmaker has four clocks on display in the w  Difficulty: 700Level, Distance/Rate Problems, Source: PowerPrep  131  How many 2inch by 3inch rectangular tiles are required to tile this  Difficulty: 700Level, Geometry, Source: Other  Please specify  132  There are three secretaries who work for four departments.  Difficulty: 700Level, Combinations, Probability, Source: Kaplan Advanced  133  The workforce of a certain company comprised exactly 10,500  Difficulty: 700Level, Word Problems  134  A circle is inscribed in a square with an area of 121 square  Difficulty: 700Level, Combinations, Geometry, Source: 800 Score  135  If x is the smallest positive integer that is not prime and  Difficulty: 700Level, Divisibility/Multiples/Factors, Source: Veritas Prep  136  The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches.  Difficulty: 700Level, Combinations, Source: Other  Please specify  137  In a game of chess the moves of whites and blacks alternate  Difficulty: 700Level, Word Problems, Source: GMAT Club Tests  138  How many positive integers less than 10,000 are there in  Difficulty: 700Level, Combinations, Source: Other  Please specify  139  Mira is making telescopes, each consisting of 2 lenses, 1 tu  Difficulty: 700Level, Fractions/Ratios/Decimals, Word Problems, Source: Manhattan GMAT  140  A circle is inscribed inside right triangle ABC shown above. What is  Difficulty: 700Level, Geometry, Source: Economist GMAT Tutor  141  In the coordinate axis above, line segment AC is three times  Difficulty: 700Level, Coordinate Geometry, Source: Princeton Review  142  7 people (A, B, C, D, E, F and G) go to a movie and sit  Difficulty: 700Level, Combinations, Source: Veritas Prep  143  If 2 < x <= 5, then which of the following MUST be true?  Difficulty: 700Level, Exponents/Powers, Inequalities, Source: GMATPrepNow  144  3 cooks have to make 80 burgers.They are known to make 20  Difficulty: 700Level, Work/Rate Problems  145  In racing over a given distance d at uniform speed, A can be  Difficulty: 700Level, Distance/Rate Problems  146  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  147  Teddy has a set of dowels, each with a distinct length in centimeters,  Difficulty: 700Level, Geometry, Source: Magoosh  148  If n is an odd natural number and n! ends with 32 zeros, the  Difficulty: 700Level, Number Properties  149  If a line which has the equation 7x + 17y = 1000 is plotted on XY pla  Difficulty: 700Level, Algebra, Coordinate Geometry, Source: Other  Please specify  150  A square wooden plaque has a square brass inlay in the  Difficulty: 700Level, Geometry, Must or Could be True Questions, Source: Official Guide 
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Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
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Re: 150 Hardest and easiest questions for PS [#permalink]
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150 Easiest Problem Solving Questions (Mar 1st, 2018  Apr 1st, 2018) 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 150 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  2  In the equation above, k is a constant. If y = 17 when x = 2  Difficulty: Sub600 Level, Algebra, Source: Official Guide  3  A bakery opened yesterday with its daily supply of 40 dozen  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  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: Official Guide  5  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  6  If it is assumed that 60 percent of those who receive a questionnaire  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  7  The ratio 2 to 1/3 is equal to the ratio  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  8  Which of the following is equivalent to the pair of  Difficulty: Sub600 Level, Inequalities, Source: Official Guide  9  If x = 1, then (x^4 + x^3 + x^2 + x) =  Difficulty: Sub600 Level, Algebra, Arithmetic, Source: Official Guide  10  If 2/(1+2/y)=1, then y =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  11  Rectangular Floors X and Y have equal area. If Floor X is 12  Difficulty: Sub600 Level, Geometry, Source: Official Guide  12  What number when multiplied by 4/7 yields 6/7 as the result?  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  13  The number 2  0.5 is how many times the number 1  0.5?  Difficulty: Sub600 Level, Algebra, Source: Official Guide  14  On 3 sales John has received commissions of $240, $80, and $  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  15  150 is what percent of 30 ?  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  16  If the population of a certain country increases at the rate  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  17  If n is a prime number greater than 3, what is the remainder  Difficulty: Sub600 Level, Remainders, Source: Official Guide  18  0.1 + 0.1^2 + 0.1^3 =  Difficulty: Sub600 Level, Arithmetic, Exponents/Powers, Source: Official Guide  19  If n is a prime number greater than 3, what is the remainder  Difficulty: Sub600 Level, Number Properties, Source: Official Guide  20  Kelly and Chris packed several boxes with books. If Chris  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  21  In the figure above, the coordinates of point V are  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide  22  If m is an integer such that (2)^2m = 2^{9  m}, then m=  Difficulty: Sub600 Level, Exponents/Powers, Source: Official Guide  23  1/(1+1/3)1/(1+1/2)  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  24  As a salesperson, Phyllis can choose one of two methods of a  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  25  If Mario was 32 years old 8 years ago, how old was he x year  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  26  A fruitsalad mixture consists of apples, peaches, and grape  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  27  Of the final grades received by the students in a certain  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  28  The ratio of the length to the width of a rectangular advert  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  29  For which of the following values of s is (50+s)s an integer?  Difficulty: Sub600 Level, Arithmetic, Number Properties, Source: Veritas Prep  30  The amounts of time that three secretaries worked on a  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  31  If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  32  Running at the same rate, 8 identical machines can produce 560 papercl  Difficulty: Sub600 Level, Work/Rate Problems, Source: Magoosh  33  A rectangular floor that measures 8 meters by 10 meters is to be cover  Difficulty: Sub600 Level, Geometry, Source: Official Guide  34  In the figure above, what is the ratio of the measure of angle B to  Difficulty: Sub600 Level, Geometry, Source: Official Guide  35  1/3 +1/2  5/6 + 1/5 + 1/4  9/20 =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  36  (1/5)^2  1/5*1/4 =  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide  37  A student's average (arithmetic mean) test score on 4 tests  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide  38  In the Johnsons' monthly budget, the dollar amounts allocate  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  39  If 3  x = 2x  3, then 4x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  40  If x is negative and y is positive, which of the following must be  Difficulty: Sub600 Level, Number Properties, Source: Princeton Review  41  What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3?  Difficulty: Sub600 Level, Algebra, Source: Official Guide  42  Running at the same constant rate, 6 identical machines can  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide  43  Root(80)+root(125)  Difficulty: Sub600 Level, Roots, Source: Official Guide  44  If O is the center of the circle above, what fraction of the  Difficulty: Sub600 Level, Geometry, Source: Official Guide  45  If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?  Difficulty: Sub600 Level, Algebra, Source: Official Guide  46  1/(31/(31/(31)))=  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide  47  Eight identical machines can produce 360 aluminum cans per  Difficulty: Sub600 Level, Work/Rate Problems, Source: Princeton Review  48  A rectangular garden is to be twice as long as it is wide.  Difficulty: Sub600 Level, Geometry, Source: Official Guide  49  A gym class can be divided into 8 teams with an equal number  Difficulty: Sub600 Level, Divisibility/Multiples/Factors, Source: Official Guide  50  (2+2*6^1/2)/2  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Roots, Source: Official Guide  51  Three business partners, Q, R, and S, agree to divide their  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide  52  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  53  John is traveling to a meeting that is 28 miles away. He nee  Difficulty: Sub600 Level, Distance/Rate Problems  54  1/(0.751)=  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide  55  If Sally can paint a house in 4 hours, and John can paint  Difficulty: Sub600 Level, Work/Rate Problems  56  If p/q < 1, and p and q are positive integers, which of the  Difficulty: Sub600 Level, Inequalities, Must or Could be True Questions, Source: Official Guide  57  (1+5^1/2)(15^1/2)=  Difficulty: Sub600 Level, Algebra, Arithmetic, Source: Official Guide  58  If the figure provided is drawn to scale, which of the following point  Difficulty: Sub600 Level, Absolute Values/Modulus, Source: Grockit  59  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  60  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  61  A certain builder is selling five homes for the following  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: GMAT Prep  62  Of the five coordinates associated with points A, B, C, D  Difficulty: Sub600 Level, Absolute Values/Modulus, Coordinate Geometry, Source: Official Guide  63  If x is an even integer, which of the following is an odd integer?  Difficulty: Sub600 Level, Number Properties, Source: Other  Please specify  64  If y((3x5)/2) =y and y#0, then x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  65  4 (205)= ?  Difficulty: Sub600 Level, Absolute Values/Modulus, Arithmetic  66  If x/4 is 2 more than x/8, then x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  67  A glucose solution contains 15 grams of glucose per 100  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  68  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  69  The product X of two prime numbers is between 17 and 55. If  Difficulty: Sub600 Level, Number Properties, Source: GMAT Pill  70  (2 3/5  1 2/3)/(2/3  3/5)  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  71  If x + 5 > 2 and x  3 < 7, the value of x must be between  Difficulty: Sub600 Level, Inequalities, Source: Official Guide  72  If (5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ?  Difficulty: Sub600 Level, Exponents/Powers, Source: Grockit  73  What is 3/5 of 5/8 of 2/3?  Difficulty: Sub600 Level, Arithmetic, Source: Manhattan GMAT  74  The price of a certain television set is discounted by 10 pe  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  75  If 60 percent of a rectangular floor is covered by a rectang  Difficulty: Sub600 Level, Arithmetic, Geometry, Source: Official Guide  76  In a shipment of 120 machine parts, 5 percent were defective  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  77  A project scheduled to be carried out over a single fiscal  Difficulty: Sub600 Level, Word Problems, Source: 800 Score, Source: Official Guide  78  In the xyplane, what is the slope of the line with equation  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide  79  In the rectangular coordinate system above, if point R (not  Difficulty: Sub600 Level, Coordinate Geometry, Geometry, Source: Official Guide  80  Two years ago, Sam put $1,000 into a savings account.  Difficulty: Sub600 Level, Percents and Interest Problems  81  If n is the product of the integers from 1 to 8, inclusive  Difficulty: Sub600 Level, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide  82  In Country X a returning tourist may import goods with a tot  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  83  If x and y are odd integers, which of the following must always be a  Difficulty: Sub600 Level, Number Properties, Source: Other  Please specify  84  The sum 7/8+1/9 is between  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide  85  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  86  If Jake loses 8 pounds, he will weigh twice as much as his  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  87  The figure above shows a circular flower bed, with its cente  Difficulty: Sub600 Level, Geometry, Source: Official Guide  88  If n is a positive integer and k + 2 = 3^n, which of the fol  Difficulty: Sub600 Level, Algebra, Source: Official Guide  89  A rope 40 feet long is cut into two pieces. If one piece is  Difficulty: Sub600 Level, Arithmetic, Source: 800 Score, Source: Official Guide  90  Sixty percent of the members of a study group are women, and  Difficulty: Sub600 Level, Probability, Source: Official Guide  91  A committee is composed of w women and m men. If 3 women and  Difficulty: Sub600 Level, Probability, Source: Official Guide  92  The figure above shows a path around a triangular piece of land. Mary  Difficulty: Sub600 Level, Geometry, Source: Official Guide  93  For what value of x, is x – 3 + x + 1 + x = 10?  Difficulty: Sub600 Level, Absolute Values/Modulus, Source: Economist GMAT Tutor, Source: Veritas Prep  94  In the figure above, the sum of the three numbers in the hor  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  95  If a = 1/3 and b = 2/3, which of the following CANNOT be the resul  Difficulty: Sub600 Level, Absolute Values/Modulus, Arithmetic, Source: Manhattan GMAT  96  If 1 + 1/x = 2  2/x, then x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  97  Which of the following must be equal to zero for all real nu  Difficulty: Sub600 Level, Must or Could be True Questions, Number Properties, Source: Official Guide  98  Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  Difficulty: Sub600 Level, Algebra, Source: Official Guide  99  The sum of prime numbers that are greater than 60 but less  Difficulty: Sub600 Level, Number Properties, Source: Official Guide  100  If k^2 = m^2, which of the following must be true?  Difficulty: Sub600 Level, Absolute Values/Modulus, Source: Official Guide  101  In Township K each property is taxed at 8 percent of its assessed  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Other  Please specify  102  If x + y = 7 and x – y = 3, then x^2  y^2 =  Difficulty: Sub600 Level, Algebra, Source: Manhattan GMAT  103  Company C produces toy trucks at a cost of $5.00 each for the first 10  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  104  1(1/22/3)=  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: Princeton Review  105  When p is divided by 9, the remainder is 4. All of the following are  Difficulty: Sub600 Level, Divisibility/Multiples/Factors, Remainders, Source: Other  Please specify  106  If 105 divides into n with no remainder, which of the following must  Difficulty: Sub600 Level, Divisibility/Multiples/Factors, Remainders, Source: Other  Please specify  107  If x<0, which of the following represents a positive number?  Difficulty: Sub600 Level, Absolute Values/Modulus, Source: GMAT Prep EP2  108  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  109  Thirty percent of the members of a swim club have passed the  Difficulty: Sub600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide  110  Jim travels the first 3 hours of his journey at 60 mph speed and the  Difficulty: Sub600 Level, Distance/Rate Problems, Source: Other  Please specify  111  John has 10 pairs of matched socks. If he loses 7 individual  Difficulty: Sub600 Level, Min/Max Problems, Source: Official Guide  112  The value of 3(10) is how much greater than the value of  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  113  An artist wishes to paint a circular region on a square post  Difficulty: Sub600 Level, Geometry, Source: Official Guide  114  Which of the following equations is NOT equivalent to 4x^2 = y^2  9 ?  Difficulty: Sub600 Level, Algebra, Source: GMAT Prep  115  If 893 × 78 = p, which of the following is equal to 893 × 79?  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  116  If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0  Difficulty: Sub600 Level, Arithmetic, Source: Grockit  117  If x > 7, which of the following is equal to (x^2 + 8x + 16)/(x^2  16  Difficulty: Sub600 Level, Algebra, Source: Kaplan  118  During a twoweek period, the price of an ounce of silver in  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  119  What is the value of 10^8  6^7?  Difficulty: Sub600 Level, Arithmetic, Source: Veritas Prep  120  If the remainder is 7 when positive integer n is divided by  Difficulty: Sub600 Level, Remainders, Source: GMAT Paper Tests  121  In the figure above, if F is a point on the line that bisects angle AC  Difficulty: Sub600 Level, Geometry, Source: Official Guide  122  At the opening of a trading day at a certain stock exchange, the price  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  123  A grocer has 400 pounds of coffee in stock, 20 percent  Difficulty: Sub600 Level, Mixture Problems, Source: Official Guide  124  On a vacation,Rose exchanged $500.00 for euros at an exchange rate  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  125  If Henry were to add 5 gallons of water to a tank that is  Difficulty: Sub600 Level, Mixture Problems  126  If x + y= 8z, then which of the following represents the ave  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide  127  A student committee that must consists of 5 members is to be formed  Difficulty: Sub600 Level, Combinations, Source: Manhattan GMAT  128  If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  Difficulty: Sub600 Level, Number Properties, Source: GMAT Prep EP1  129  If a+b=ab, then a*b must be equal to:  Difficulty: Sub600 Level, Absolute Values/Modulus, Algebra, Source: Kaplan  130  The annual budget of a certain college is to be shown on a c  Difficulty: Sub600 Level, Geometry, Source: Official Guide  131  (16 + 16)^1/2 =  Difficulty: Sub600 Level, Algebra, Roots, Source: Official Guide  132  If the length of an edge of cube X is twice the length of an  Difficulty: Sub600 Level, Geometry, Source: Official Guide  133  Last week Chris earned x dollars per hour for the first 40 hours worke  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  134  The average (arithmetic mean) of 6 numbers is 8.5. When one  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide  135  After 4,000 gallons of water were added to a large water tan  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide  136  If a basketball team scores an average (arithmetic mean) of x points  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide  137  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  138  ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all eq  Difficulty: Sub600 Level, Geometry, Source: Other  Please specify  139  Of the following, which is least?  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  140  If a quality control check is made inspecting a sample of 2  Difficulty: Sub600 Level, Combinations, Source: GMAT Prep  141  Arithmetic mean and standard deviation of a certain normal  Difficulty: Sub600 Level, Statistics and Sets Problems  142  When Leo imported a certain item, he paid a 7 percent import  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  143  The maximum recommended pulse rate R, when exercising, for a  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  144  If x = 1 3t and y = 2t  1, then for what value of t does x  Difficulty: Sub600 Level, Algebra, Source: Official Guide  145  Today Rebecca, who is 34 years old, and her daughter, who is 8 years  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  146  Which of the following represent positive numbers?  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  147  If d is the standard deviation x, y, and z, what is the stan  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: GMAT Prep  148  A certain rectangular window is twice as long as it is wide.  Difficulty: Sub600 Level, Geometry, Source: Official Guide  149  If xyz < 0 and yz > 0, which of the following must be positi  Difficulty: Sub600 Level, Inequalities, Must or Could be True Questions  150  In the coordinate plane, what is the distance between points (3, 5) an  Difficulty: Sub600 Level, Coordinate Geometry, Source: Veritas Prep 
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Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
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Re: 150 Hardest and easiest questions for PS [#permalink]
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21 Aug 2015, 05:20



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19 May 2016, 14:46
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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 inbetween?



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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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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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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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