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150 Hardest and easiest questions for PS [#permalink]
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150 Hardest Problem Solving Questions (Jul 20th, 2017  Aug 1st, 2017) 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  In the figure, point D divides side BC of triangle ABC into  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  2  If two integers are chosen at random out of the set {2, 5, 7  Difficulty: 700Level, Number Properties, Probability, Source: Manhattan GMAT  3  The sum of four consecutive odd numbers is equal to the sum  Difficulty: 700Level, Sequences  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 p  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT  6  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  7  During the month of April, the average temperatures on day n  Difficulty: 700Level, Absolute Values/Modules, Arithmetic, Inequalities, Must or Could be True Questions, Sequences, Word Problems  8  The function g(x) is defined for integers x such that if x  Difficulty: 700Level, Algebra, Functions and Custom Characters  9  A box contains three pairs of blue gloves and two pairs of  Difficulty: 700Level, Probability, Source: GMAT Club Tests  10  Arrow AB which is a line segment exactly 5 units along with  Difficulty: 700Level, Coordinate Geometry, Source: Manhattan GMAT  11  Daniel is playing a dice game in which a dice is rolled 5 times  Difficulty: 700Level, Probability, Source: Other  Please specify  12  A bus from city M is traveling to city N at a constant speed  Difficulty: 700Level, Distance/Rate Problems, Source: GMAT Club Tests  13  Twenty meters of wire is available to fence off a flower bed in the  Difficulty: 700Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor  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 even 3 digit integers greater than 700 with  Difficulty: 700Level, Combinations, Source: Official Guide  16  What is the probability of getting a sum of 8 or 14 when  Difficulty: 700Level, Probability  17  An integer between 1 and 300, inclusive, is chosen at random  Difficulty: 700Level, Number Properties, Probability, Source: Manhattan GMAT  18  How many values can the integer p=x+3x3 assume?  Difficulty: 700Level, Absolute Values/Modules  19  A sequence of numbers (geometric sequence) is given by the  Difficulty: 700Level, Absolute Values/Modules, Exponents/Powers, Sequences, Source: Grockit  20  A list of numbers has six positive integers. Three of those integers  Difficulty: 700Level, Statistics and Sets Problems, Source: Veritas Prep  21  How many numbers that are not divisible by 6 divide evenly  Difficulty: 700Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT  22  Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa  Difficulty: 700Level, Work/Rate Problems  23  In the xy plane, point (p, q) is a lattice point if both p  Difficulty: 700Level, Coordinate Geometry, Geometry, Source: Magoosh  24  If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte  Difficulty: 700Level, Absolute Values/Modules, Algebra, Min/Max Problems, Source: Manhattan GMAT  25  On a partly cloudy day, Derek decides to walk back from work  Difficulty: 700Level, Distance/Rate Problems, Source: Veritas Prep  26  x@y = 2x^(1/2) + y^2. How many unique sums of x and y result, if x@y  Difficulty: 700Level, Algebra, Functions and Custom Characters, Source: Magoosh  27  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  28  In a certain sequence, every term after the first is determi  Difficulty: 700Level, Sequences, Source: Manhattan GMAT  29  A big cube is formed by rearranging the 160 coloured and 56  Difficulty: 700Level, Geometry, Percents and Interest Problems  30  In a certain mathematical activity, we have five cards with five diffe  Difficulty: 700Level, Combinations, Source: Magoosh  31  How many different pairs of integers (a, b) exist such that 2 <= a <=  Difficulty: 700Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT  32  Ms. Barton has four children. You are told correctly that sh  Difficulty: 700Level, Probability, Source: GMAT Prep EP1, Source: Manhattan GMAT  33  If a circle passes through points (9,2*sqrt(3))  Difficulty: 700Level, Coordinate Geometry, Geometry, Source: Other  Please specify  34  We define f(n) as the highest power of 7 that divides n. Wha  Difficulty: 700Level, Arithmetic, Exponents/Powers, Functions and Custom Characters  35  Set S consists of numbers 2, 3, 6, 48, and 164. Number K is  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Probability  36  How many different combinations of outcomes can you make by  Difficulty: 700Level, Combinations  37  List T consist of 30 positive decimals, none of which is an  Difficulty: 700Level, Min/Max Problems, Source: Official Guide  38  The elevator in an elevenstory office building travels at  Difficulty: 700Level, Distance/Rate Problems  39  In the diagram, points A, B, and C are on the diameter of  Difficulty: 700Level, Geometry, Source: Kaplan  40  How many integral values of k are possible, if the lines 3x+  Difficulty: 700Level, Coordinate Geometry  41  A bag contains 10 bulbs and 5 torches, out of which 3 bu  Difficulty: 700Level, Probability, Source: eGMAT  42  If integer C is randomly selected from 20 to 99, inclusive.  Difficulty: 700Level, Divisibility/Multiples/Factors, Probability, Source: Manhattan GMAT  43  The figure above shows gas mileage at different speeds for all compact  Difficulty: 700Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other  Please specify  44  An alloy of copper and aluminum has 40% copper. An alloy of Copper and  Difficulty: 700Level, Mixture Problems, Source: Other  Please specify  45  Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and  Difficulty: 700Level, Mixture Problems  46  Let a “2placer” be a terminating decimal, between 0 and 1, for which  Difficulty: 700Level, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT  47  A bag contains 3 red and 2 black ball. Another bag contains 4 red and  Difficulty: 700Level, Probability  48  How many integers less than 100 have exactly 4 odd factors b  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  49  The function p(n) on nonnegative integer n is defined in  Difficulty: 700Level, Exponents/Powers, Functions and Custom Characters, Source: Manhattan GMAT  50  The chart below lists the odds that a horse will place in  Difficulty: 700Level, Probability, Source: Princeton Review  51  If 12x−5>7−6x, which of the following CANNOT be the  Difficulty: 700Level, Absolute Values/Modules, Inequalities, Source: Veritas Prep  52  For how many different pairs of positive integers (a, b) can  Difficulty: 700Level, Arithmetic, Source: Manhattan GMAT  53  Darcy, Gina, Ray and Susan will be the only participants at a meeting.  Difficulty: 700Level, Probability, Source: Kaplan  54  A botanist selects n^2 trees on an island and studies (2n +  Difficulty: 700Level, Remainders, Source: Princeton Review  55  Points A and B are 120 km apart. A motorcyclist starts from  Difficulty: 700Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT  56  In how many ways can 5 different marbles be distributed in 4  Difficulty: 700Level, Combinations, Source: GMAT Pill  57  A customer using a certain telephone calling plan pays a fee  Difficulty: 700Level, Word Problems, Source: Kaplan  58  4 individuals arrive separately at an orchestra concert with  Difficulty: 700Level, Probability, Source: Veritas Prep  59  A man arrives at a railway station 90 minutes before the tim  Difficulty: 700Level, Distance/Rate Problems  60  Random Pack 1, Question 3 Three circles with radii...  Difficulty: 700Level, Geometry, Source: EMPOWERgmat  61  Louie takes out a threemonth loan of $1000. The lender  Difficulty: 700Level, Percents and Interest Problems, Source: Magoosh  62  For positive integers k and n, the kpower remainder of n is defined  Difficulty: 700Level, Min/Max Problems, Number Properties, Remainders, Source: Manhattan GMAT  63  Consider a regular polygon of p sides. The number of values  Difficulty: 700Level, Geometry, Number Properties  64  A cylindrical tank of radius R and height H must be redesign  Difficulty: 700Level, Geometry, Source: Manhattan GMAT  65  How many 4digit numbers can be formed by using the digits 0  Difficulty: 700Level, Combinations  66  When the number 777 is divided by the integer N, the remaind  Difficulty: 700Level, Remainders, Source: 800 Score  67  The positive value of x that satisfies the equation (1 + 2x)  Difficulty: 700Level, Algebra, Exponents/Powers, Source: Manhattan GMAT  68  If a and b are distinct integers and a^b = b^a, how many  Difficulty: 700Level, Exponents/Powers, Number Properties, Source: Veritas Prep  69  How many even integers n, where 100 <= n <= 200, are divisib  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  70  Jerry and Jim run a race of 2000 m. First, Jerry gives Jim  Difficulty: 700Level, Distance/Rate Problems, Source: GMAT Paper Tests  71  Pipe A and Pipe B fill water into a tank of capacity 1000 litres at  Difficulty: 700Level, Work/Rate Problems, Source: Other  Please specify  72  A cyclist travels the length of a bike path that is 225  Difficulty: 700Level, Distance/Rate Problems, Inequalities, Source: Manhattan GMAT, Source: PowerPrep  73  How many 3digit integers between 100 and 200 have a digit  Difficulty: 700Level, Combinations, Source: Kaplan  74  Brenda and Sally run in opposite direction on a circular tra  Difficulty: 700Level, Distance/Rate Problems  75  A circle is inscribed in a square with an area of 121 square  Difficulty: 700Level, Combinations, Geometry, Source: 800 Score  76  Baseball's World Series matches 2 teams against each other  Difficulty: 700Level, Probability, Source: Manhattan GMAT  77  The number 523abc is divisible by 7,8,9. Then what is the  Difficulty: 700Level, Divisibility/Multiples/Factors  78  If a is the sum of x consecutive positive integers. b is the  Difficulty: 700Level, Statistics and Sets Problems, Source: Manhattan GMAT  79  Suppose x is an integer such that (x^2−x−1)^(x+2)=1  Difficulty: 700Level, Algebra, Source: Veritas Prep  80  a, b, c, d are positive integers such that exactly one of  Difficulty: 700Level, Inequalities  81  If y = x + 5x  5, then y can take how many integer  Difficulty: 700Level, Absolute Values/Modules, Source: GMAT Prep  82  How many positive integers less than 1000 are multiples of 5  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties  83  How many different fourletter words can be formed (the words don't  Difficulty: 700Level, Combinations  84  There are 100 freshmen at a particular college, all of whom  Difficulty: 700Level, Overlapping Sets  85  If a, b are integers, and (ab)^2 + 8b^2=108, what is the number of th  Difficulty: 700Level, Algebra, Source: Math Revolution  86  Ben and Shari have invited three other couples to their apar  Difficulty: 700Level, Combinations, Source: Princeton Review  87  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  88  Three men A, B and C working together can do a work in 30 da  Difficulty: 700Level, Work/Rate Problems  89  How many distinct fourdigit numbers can be formed by the  Difficulty: 700Level, Combinations, Source: Magoosh  90  A fair coin is tossed 6 times. What is the probability of getting no  Difficulty: 700Level, Probability  91  A dealer offers a cash discount of 20% and still makes a pro  Difficulty: 700Level, Arithmetic, Percents and Interest Problems  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  Of the threedigit integers greater than 660, how many have  Difficulty: 700Level, Combinations  94  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  95  Set A consists of 2 positive integers, and set B consists  Difficulty: 700Level, Statistics and Sets Problems, Source: GMATPrepNow  96  On the number line shown, the distance between 0 and a . . .  Difficulty: 700Level, Absolute Values/Modules, Algebra, Source: eGMAT  97  Mike started working at 18 and retires at 60. He spent the first 1/5  Difficulty: 700Level, Fractions/Ratios/Decimals, Source: Other  Please specify  98  There are three secretaries who work for four departments.  Difficulty: 700Level, Combinations, Probability, Source: Kaplan Advanced  99  Of a group of people, 10 play piano, 11 play guitar, 14 play  Difficulty: 700Level, Overlapping Sets, Source: Veritas Prep  100  How many triangles with positive area can be drawn on the  Difficulty: 700Level, Coordinate Geometry, Geometry  101  In a village of 100 households, 75 have at least one DVD  Difficulty: 700Level, Overlapping Sets, Source: 800 Score, Source: GMAT Prep  102  If x is the smallest positive integer that is not prime and  Difficulty: 700Level, Divisibility/Multiples/Factors, Source: Veritas Prep  103  5 letters have to be put in 5 different envelopes numbered 1 through 5  Difficulty: 700Level, Probability, Source: Other  Please specify  104  If a line which has the equation 7x + 17y = 1000 is plotted on XY pla  Difficulty: 700Level, Algebra, Coordinate Geometry, Source: Other  Please specify  105  A certain company plans to sell Product X for p dollars per  Difficulty: 700Level, Probability  106  A set of five positive integers has an arithmetic mean of 150. A parti  Difficulty: 700Level, Number Properties, Source: Veritas Prep  107  A mixed doubles tennis game is to be played between two team  Difficulty: 700Level, Combinations  108  On planet Simplon, each year has 12 months, each of which  Difficulty: 700Level, Fractions/Ratios/Decimals, Source: Veritas Prep  109  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  110  A set of consecutive positive integers beginning with 1 is  Difficulty: 700Level, Statistics and Sets Problems  111  If x is any integer from 6 to 2 inclusive, how many  Difficulty: 700Level, Absolute Values/Modules, Inequalities, Source: GMATPrepNow  112  An ant is clinging to one corner of a box in the shape of a  Difficulty: 700Level, Combinations, Source: Manhattan GMAT  113  How many 2inch by 3inch rectangular tiles are required to tile this  Difficulty: 700Level, Geometry, Source: Other  Please specify  114  Alan’s regular hourly wage is 1.5 times Barney’s regular  Difficulty: 700Level, Number Properties, Source: Manhattan GMAT  115  Ax(y) is an operation that adds 1 to y  Difficulty: 700Level, Functions and Custom Characters  116  Theresa is a basketball player practicing her free throws. On her fir  Difficulty: 700Level, Fractions/Ratios/Decimals, Probability, Source: Magoosh  117  How many positive integers less than 10,000 are there in  Difficulty: 700Level, Combinations, Source: Other  Please specify  118  How many 4 digit numbers are there, if it is known that the  Difficulty: 700Level, Combinations, Source: Economist GMAT Tutor  119  Three points are chosen independently an at random on the circumferenc  Difficulty: 700Level, Probability, Source: Manhattan GMAT  120  If x and y are integers and 2x + 9y = 57, then the least possible valu  Difficulty: 700Level, Algebra, Source: Veritas Prep  121  How many combinations of three letters taken from letters  Difficulty: 700Level, Combinations  122  A cylindrical tank with radius 3 meters is filled with a solution. The  Difficulty: 700Level, Geometry  123  Two different primes may be said to “rhyme”  Difficulty: 700Level, Number Properties, Source: Manhattan GMAT  124  A trail mix company keeps costs down by employing the peanuts:cashews:  Difficulty: 700Level, Arithmetic, Source: Veritas Prep  125  At the post office, a letter must go through a sorting process with fo  Difficulty: 700Level, Arithmetic, Fractions/Ratios/Decimals, Word Problems  126  The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches.  Difficulty: 700Level, Combinations, Source: Other  Please specify  127  What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x  Difficulty: 700Level, Exponents/Powers, Source: GMATPrepNow  128  3 cooks have to make 80 burgers.They are known to make 20  Difficulty: 700Level, Work/Rate Problems  129  At a local beach, the ratio of little dogs to average dogs  Difficulty: 700Level, Fractions/Ratios/Decimals, Percents and Interest Problems, Source: Veritas Prep  130  If x+x+y=7 and x+yy=6 what is x+y=?  Difficulty: 700Level, Absolute Values/Modules, Source: Magoosh  131  A man cycling along the road noticed that every 12 minutes  Difficulty: 700Level, Distance/Rate Problems, Source: GMAT Club Tests  132  The figure above shows the inside dimensions in feet of a certain room  Difficulty: 700Level, Geometry, Source: GMAT Prep EP2  133  Jane gave Karen a 5 m head start in a 100 race and Jane was  Difficulty: 700Level, Distance/Rate Problems  134  The workforce of a certain company comprised exactly 10,500  Difficulty: 700Level, Word Problems  135  A square wooden plaque has a square brass inlay in the  Difficulty: 700Level, Geometry, Must or Could be True Questions, Source: Official Guide  136  A cyclist travels the length of a bike path that is 225  Difficulty: 700Level, Min/Max Problems, Word Problems, Source: Manhattan GMAT  137  If the prime factorization of the integer q can be expressed  Difficulty: 700Level, Divisibility/Multiples/Factors, Exponents/Powers, Number Properties, Source: Manhattan GMAT  138  Matt is touring a nation in which coins are issued in two am  Difficulty: 700Level, Combinations, Source: Veritas Prep  139  x + 3 = y 4, where x and y are nonzer  Difficulty: 700Level, Algebra, Inequalities, Min/Max Problems, Source: eGMAT  140  In a game of chess the moves of whites and blacks alternate  Difficulty: 700Level, Word Problems, Source: GMAT Club Tests  141  x+3  4x = 8+x. How many solutions does the equation  Difficulty: 700Level, Absolute Values/Modules  142  In the game of Yahtzee, a "full house" occurs when a player  Difficulty: 700Level, Probability, Source: Veritas Prep  143  A straight picket fence is composed of x pickets each of whi  Difficulty: 700Level, Geometry, Word Problems, Source: Kaplan  144  In racing over a given distance d at uniform speed, A can be  Difficulty: 700Level, Distance/Rate Problems  145  A circle is inscribed inside right triangle ABC shown above. What is  Difficulty: 700Level, Geometry, Source: Economist GMAT Tutor  146  What is the last nonzero digit of expression  Difficulty: 700Level, Divisibility/Multiples/Factors, Number Properties, Source: Other  Please specify  147  A cylindrical water tower with radius 5 m and height 8 m is  Difficulty: 700Level, Geometry, Work/Rate Problems, Source: Grockit  148  A firm's annual revenue grows twice as fast as its costs. In  Difficulty: 700Level, Percents and Interest Problems, Source: Grockit  149  The price of a bushel of corn is currently $3.20, and the  Difficulty: 700Level, Word Problems  150  A notsogood clockmaker has four clocks on display in the w  Difficulty: 700Level, Distance/Rate Problems, Source: PowerPrep 
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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 (Jul 20th, 2017  Aug 1st, 2017) 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  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  4  If it is assumed that 60 percent of those who receive a questionnaire  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  5  A bakery opened yesterday with its daily supply of 40 dozen  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  6  The ratio 2 to 1/3 is equal to the ratio  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  7  Rectangular Floors X and Y have equal area. If Floor X is 12  Difficulty: Sub600 Level, Geometry, Source: Official Guide  8  If x = 1, then (x^4 + x^3 + x^2 + x) =  Difficulty: Sub600 Level, Algebra, Arithmetic, Source: Official Guide  9  Which of the following is equivalent to the pair of  Difficulty: Sub600 Level, Inequalities, Source: Official Guide  10  If 2/(1+2/y)=1, then y =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  11  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  12  The number 2  0.5 is how many times the number 1  0.5?  Difficulty: Sub600 Level, Algebra, Source: Official Guide  13  0.1+0.1^2+0.1^3=  Difficulty: Sub600 Level, Arithmetic, Exponents/Powers, Source: Official Guide  14  150 is what percent of 30 ?  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  15  If n is a prime number greater than 3, what is the remainder  Difficulty: Sub600 Level, Number Properties, Source: Official Guide  16  If n is a prime number greater than 3, what is the remainder  Difficulty: Sub600 Level, Remainders, Source: Official Guide  17  In the figure above, the coordinates of point V are  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide  18  On 3 sales John has received commissions of $240, $80, and $  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  19  What number when multiplied by 4/7 yields 6/7 as the result?  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  20  If m is an integer such that (2)^2m = 2^{9  m}, then m=  Difficulty: Sub600 Level, Exponents/Powers, Source: Official Guide  21  If the population of a certain country increases at the rate  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  22  Kelly and Chris packed several boxes with books. If Chris  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  23  The ratio of the length to the width of a rectangular advert  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  24  If Mario was 32 years old 8 years ago, how old was he x year  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  25  A fruitsalad mixture consists of apples, peaches, and grape  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  26  1/(1+1/3)1/(1+1/2)  Difficulty: Sub600 Level, Arithmetic, 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  If 3  x = 2x  3, then 4x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  29  Running at the same constant rate, 6 identical machines can  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide  30  If O is the center of the circle above, what fraction of the  Difficulty: Sub600 Level, Geometry, 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  In the figure above, what is the ratio of the measure of angle B to  Difficulty: Sub600 Level, Geometry, Source: Official Guide  33  A student's average (arithmetic mean) test score on 4 tests  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide  34  John is traveling to a meeting that is 28 miles away. He nee  Difficulty: Sub600 Level, Distance/Rate Problems  35  In the Johnsons' monthly budget, the dollar amounts allocate  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  36  (1/5)^2  1/5*1/4 =  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide  37  In a shipment of 120 machine parts, 5 percent were defective  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  38  (2+2*6^1/2)/2  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Roots, Source: Official Guide  39  As a salesperson, Phyllis can choose one of two methods of a  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  40  1/3 +1/2  5/6 + 1/5 + 1/4  9/20 =  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  41  A rectangular floor that measures 8 meters by 10 meters is to be cover  Difficulty: Sub600 Level, Geometry, Source: Official Guide  42  If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?  Difficulty: Sub600 Level, Algebra, Source: Official Guide  43  Eight identical machines can produce 360 aluminum cans per  Difficulty: Sub600 Level, Work/Rate Problems, Source: Princeton Review  44  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  45  Root(80)+root(125)  Difficulty: Sub600 Level, Roots, Source: Official Guide  46  Of the five coordinates associated with points A, B, C, D  Difficulty: Sub600 Level, Absolute Values/Modules, Coordinate Geometry, Source: Official Guide  47  A glucose solution contains 15 grams of glucose per 100  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  48  A gym class can be divided into 8 teams with an equal number  Difficulty: Sub600 Level, Divisibility/Multiples/Factors, Source: Official Guide  49  1/(0.751)=  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide  50  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  51  A rectangular garden is to be twice as long as it is wide.  Difficulty: Sub600 Level, Geometry, Source: Official Guide  52  If x + 5 > 2 and x  3 < 7, the value of x must be between  Difficulty: Sub600 Level, Inequalities, Source: Official Guide  53  If n is a positive integer and k + 2 = 3^n, which of the fol  Difficulty: Sub600 Level, Algebra, Source: Official Guide  54  Three business partners, Q, R, and S, agree to divide their  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide  55  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  56  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  57  (1+5^1/2)(15^1/2)=  Difficulty: Sub600 Level, Algebra, Arithmetic, Source: Official Guide  58  The sum 7/8+1/9 is between  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide  59  The product X of two prime numbers is between 17 and 55. If  Difficulty: Sub600 Level, Number Properties, Source: GMAT Pill  60  The price of a certain television set is discounted by 10 pe  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  61  The amounts of time that three secretaries worked on a  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  62  If Sally can paint a house in 4 hours, and John can paint  Difficulty: Sub600 Level, Work/Rate Problems  63  In the rectangular coordinate system above, if point R (not  Difficulty: Sub600 Level, Coordinate Geometry, Geometry, Source: Official Guide  64  4 (205)= ?  Difficulty: Sub600 Level, Absolute Values/Modules, Arithmetic  65  If Jake loses 8 pounds, he will weigh twice as much as his  Difficulty: Sub600 Level, Word Problems  66  The figure above shows a circular flower bed, with its cente  Difficulty: Sub600 Level, Geometry, Source: Official Guide  67  1/(31/(31/(31)))=  Difficulty: Sub600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide  68  For which of the following values of s is (50+s)s an integer?  Difficulty: Sub600 Level, Arithmetic, Number Properties, Source: Veritas Prep  69  In Country X a returning tourist may import goods with a tot  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  70  If x/4 is 2 more than x/8, then x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  71  A project scheduled to be carried out over a single fiscal  Difficulty: Sub600 Level, Word Problems, Source: 800 Score, Source: Official Guide  72  If y((3x5)/2) =y and y#0, then x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  73  If 60 percent of a rectangular floor is covered by a rectang  Difficulty: Sub600 Level, Arithmetic, Geometry, Source: Official Guide  74  Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  Difficulty: Sub600 Level, Algebra, Source: Official Guide  75  Running at the same rate, 8 identical machines can produce 560 papercl  Difficulty: Sub600 Level, Work/Rate Problems, Source: Magoosh  76  If x is negative and y is positive, which of the following must be  Difficulty: Sub600 Level, Number Properties, Source: Princeton Review  77  If the figure provided is drawn to scale, which of the following point  Difficulty: Sub600 Level, Absolute Values/Modules, Source: Grockit  78  In the xyplane, what is the slope of the line with equation  Difficulty: Sub600 Level, Coordinate Geometry, Source: Official Guide  79  A committee is composed of w women and m men. If 3 women and  Difficulty: Sub600 Level, Probability, Source: Official Guide  80  If a = 1/3 and b = 2/3, which of the following CANNOT be the resul  Difficulty: Sub600 Level, Absolute Values/Modules, Arithmetic, Source: Manhattan GMAT  81  If (5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ?  Difficulty: Sub600 Level, Exponents/Powers, Source: Grockit  82  Running at the same constant rate, 6 identical machines can  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide  83  If n is the product of the integers from 1 to 8, inclusive  Difficulty: Sub600 Level, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide  84  If 1 + 1/x = 2  2/x, then x =  Difficulty: Sub600 Level, Algebra, Source: Official Guide  85  (2 3/5  1 2/3)/(2/3  3/5)  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  86  A rope 40 feet long is cut into two pieces. If one piece is  Difficulty: Sub600 Level, Arithmetic, Source: 800 Score, Source: Official Guide  87  The figure above shows a path around a triangular piece of land. Mary  Difficulty: Sub600 Level, Geometry, Source: Official Guide  88  For what value of x, is x – 3 + x + 1 + x = 10?  Difficulty: Sub600 Level, Absolute Values/Modules, Source: Economist GMAT Tutor, Source: Veritas Prep  89  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  90  John has 10 pairs of matched socks. If he loses 7 individual  Difficulty: Sub600 Level, Min/Max Problems, Source: Official Guide  91  Two years ago, Sam put $1,000 into a savings account.  Difficulty: Sub600 Level, Percents and Interest Problems  92  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  93  In Township K each property is taxed at 8 percent of its assessed  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Other  Please specify  94  The sum of prime numbers that are greater than 60 but less  Difficulty: Sub600 Level, Number Properties, Source: Official Guide  95  Sixty percent of the members of a study group are women, and  Difficulty: Sub600 Level, Probability, Source: Official Guide  96  If Jake loses 8 pounds, he will weigh twice as much as his  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  97  If the remainder is 7 when positive integer n is divided by  Difficulty: Sub600 Level, Remainders, Source: GMAT Paper Tests  98  In the figure above, the sum of the three numbers in the hor  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  99  During a twoweek period, the price of an ounce of silver in  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  100  If k^2 = m^2, which of the following must be true?  Difficulty: Sub600 Level, Absolute Values/Modules, Source: Official Guide  101  If k^2 = m^2, which of the following must be true?  Difficulty: Sub600 Level, Absolute Values/Modules, Source: Official Guide  102  What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3?  Difficulty: Sub600 Level, Algebra, Source: Official Guide  103  If a quality control check is made inspecting a sample of 2  Difficulty: Sub600 Level, Combinations, Source: GMAT Prep  104  Thirty percent of the members of a swim club have passed the  Difficulty: Sub600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide  105  In the figure above, if F is a point on the line that bisect  Difficulty: Sub600 Level, Geometry, Source: Official Guide  106  (16 + 16)^1/2 =  Difficulty: Sub600 Level, Algebra, Roots, Source: Official Guide  107  If x = 1 3t and y = 2t  1, then for what value of t does x  Difficulty: Sub600 Level, Algebra, Source: Official Guide  108  1(1/22/3)=  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide, Source: Princeton Review  109  The value of 3(10) is how much greater than the value of  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  110  The annual budget of a certain college is to be shown on a c  Difficulty: Sub600 Level, Geometry, Source: Official Guide  111  In a certain city, 60 percent of the registered voters are  Difficulty: Sub600 Level, Percents and Interest Problems, Source: 800 Score, Source: Official Guide  112  The maximum recommended pulse rate R, when exercising, for a  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  113  The average (arithmetic mean) of 6 numbers is 8.5. When one  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide  114  If x is an even integer, which of the following is an odd integer?  Difficulty: Sub600 Level, Number Properties, Source: Other  Please specify  115  If x + y= 8z, then which of the following represents the ave  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide  116  What is 3/5 of 5/8 of 2/3?  Difficulty: Sub600 Level, Arithmetic, Source: Manhattan GMAT  117  If x and y are odd integers, which of the following must always be a  Difficulty: Sub600 Level, Number Properties, Source: Other  Please specify  118  If a+b=ab, then a*b must be equal to:  Difficulty: Sub600 Level, Absolute Values/Modules, Algebra, Source: Kaplan  119  If a basketball team scores an average (arithmetic mean) of  Difficulty: Sub600 Level, Statistics and Sets Problems, Source: Official Guide  120  If the length of an edge of cube X is twice the length of an  Difficulty: Sub600 Level, Geometry, Source: Official Guide  121  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  122  When Leo imported a certain item, he paid a 7 percent import  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  123  Car X and Car Y traveled the same 80mile route. If Car X to  Difficulty: Sub600 Level, Distance/Rate Problems, Source: Official Guide  124  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  125  Members of a social club met to address 280 newsletters. If  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide  126  If 893 × 78 = p, which of the following is equal to 893 × 79?  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  127  Machine A produces bolts at a uniform rate of 120 every 40  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide  128  A certain fishing boat is chartered by 6 people who are to c  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  129  If 25 percent of p is equal to 10 percent of q, and pq#0, th  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  130  If 105 divides into n with no remainder, which of the following must  Difficulty: Sub600 Level, Divisibility/Multiples/Factors, Remainders, Source: Other  Please specify  131  What is the 25th digit to the right of the decimal point in  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  132  If the quotient a/b positive, which of the following must be  Difficulty: Sub600 Level, Must or Could be True Questions, Number Properties, Source: Official Guide  133  After 4,000 gallons of water were added to a large water tan  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide  134  17^3 + 17^4 =  Difficulty: Sub600 Level, Arithmetic, Exponents/Powers, Source: Official Guide  135  An artist wishes to paint a circular region on a square post  Difficulty: Sub600 Level, Geometry, Source: Official Guide  136  Of the following, which is least? A. 0.03/0.00071 B. 0.03/0.0071......  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  137  There are 4 more women than men on Centerville’s board of  Difficulty: Sub600 Level, Arithmetic, Source: Official Guide  138  If m^(1) = 1/3 then m^(2) is equal to  Difficulty: Sub600 Level, Exponents/Powers, Source: Official Guide  139  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  140  There are 4 more women than men on Centerville's board of  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  141  In a poll of 66,000 physicians, only 20 percent responded;  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  142  If an integer n is divisible by both 6 and 8, then it must  Difficulty: Sub600 Level, Divisibility/Multiples/Factors  143  How many minutes does it take to travel 120 miles at 400 mil  Difficulty: Sub600 Level, Distance/Rate Problems, Source: Official Guide  144  If a 3member subcommittee is to be formed from a certain 6  Difficulty: Sub600 Level, Combinations, Source: GMAT Prep EP1  145  Three printing presses, R, S, and T, working together at the  Difficulty: Sub600 Level, Work/Rate Problems, Source: Official Guide  146  A group of store managers must assemble 280 displays for an  Difficulty: Sub600 Level, Percents and Interest Problems, Source: Official Guide  147  Today Rebecca, who is 34 years old, and her daughter, who is 8 years  Difficulty: Sub600 Level, Word Problems, Source: Official Guide  148  On a vacation,Rose exchanged $500.00 for euros at an exchange rate  Difficulty: Sub600 Level, Fractions/Ratios/Decimals, Source: Official Guide  149  How many zeros does 100! end with?  Difficulty: Sub600 Level, Arithmetic, Number Properties, Work/Rate Problems  150  If 60! is written out as an integer, with how many  Difficulty: Sub600 Level, Number Properties, Source: Manhattan GMAT 
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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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Re: 150 Hardest and easiest questions for PS [#permalink]
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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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