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150 Hardest and easiest questions for PS

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150 Hardest and easiest questions for PS  [#permalink]

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New post 21 Aug 2015, 03:49
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245

150 Hardest Problem Solving Questions (Jul 1st, 2018 - Aug 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)
RankTitleTopics
1During the month of April, the average temperatures on day n Difficulty: 700-Level, Absolute Values/Modulus, Arithmetic, Coordinate Geometry, Inequalities, Must or Could be True Questions, Sequences, Word Problems
2In the figure, point D divides side BC of triangle ABC into segments Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
3An isosceles triangle with one angle of 120° is inscribed in Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
4If two integers are chosen at random out of the set {2, 5, 7, 8}, what Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT
5The sum of four consecutive odd numbers is equal to the sum Difficulty: 700-Level, Sequences
6If the product of all the unique positive divisors of n, a p Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT
7Arrow AB which is a line segment exactly 5 units along with Difficulty: 700-Level, Coordinate Geometry, Source: Manhattan GMAT
8If [3(ab)^3 + 9(ab)^2 – 54ab] / [(a-1)(a + 2)] = 0, and a and b are bo Difficulty: 700-Level, Algebra, Must or Could be True Questions
9A bus from city M is traveling to city N at a constant speed Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Club Tests
10Daniel is playing a dice game in which a dice is rolled 5 times Difficulty: 700-Level, Probability, Source: Other - Please specify
11A box contains three pairs of blue gloves and two pairs of Difficulty: 700-Level, Probability, Source: GMAT Club Tests
12In the x-y plane, point (p, q) is a lattice point if both p Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Magoosh
13The function g(x) is defined for integers x such that if x Difficulty: 700-Level, Algebra, Functions and Custom Characters
14If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest Difficulty: 700-Level, Algebra, Divisibility/Multiples/Factors, Number Properties
15A list of numbers has six positive integers. Three of those integers Difficulty: 700-Level, Statistics and Sets Problems, Source: Veritas Prep
16Twenty meters of wire is available to fence off a flower bed in the Difficulty: 700-Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor
17How many even 3 digit integers greater than 700 with distinct non zero Difficulty: 700-Level, Combinations, Source: Official Guide
18An integer between 1 and 300, inclusive, is chosen at random Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT
19In a certain mathematical activity, we have five cards with five diffe Difficulty: 700-Level, Combinations, Source: Magoosh
20A sequence of numbers (geometric sequence) is given by the Difficulty: 700-Level, Absolute Values/Modulus, Exponents/Powers, Sequences, Source: Grockit
21There are 500 cars on a sales lot, all of which have either two doors Difficulty: 700-Level, Number Properties, Overlapping Sets, Percents and Interest Problems, Source: Magoosh
22On a partly cloudy day, Derek decides to walk back from work Difficulty: 700-Level, Distance/Rate Problems, Source: Veritas Prep
23An alloy of copper and aluminum has 40% copper. An alloy of Copper and Difficulty: 700-Level, Mixture Problems, Source: Other - Please specify
24What is the probability of getting a sum of 8 or 14 when Difficulty: 700-Level, Probability
25How many values can the integer p=|x+3|-|x-3| assume? Difficulty: 700-Level, Absolute Values/Modulus
26Pam and Robin each roll a pair of fair, six-sided dice. What is the pr Difficulty: 700-Level, Probability, Source: Veritas Prep
27If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte Difficulty: 700-Level, Absolute Values/Modulus, Algebra, Min/Max Problems, Source: Manhattan GMAT
28How many numbers that are not divisible by 6 divide evenly Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT
29How many integral values of k are possible, if the lines 3x+ Difficulty: 700-Level, Coordinate Geometry
30How many 4-digit numbers can be formed by using the digits 0 Difficulty: 700-Level, Combinations
31If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of th Difficulty: 700-Level, Algebra, Source: Math Revolution
32In a certain sequence, every term after the first is determi Difficulty: 700-Level, Sequences, Source: Manhattan GMAT
33How many different combinations of outcomes can you make by Difficulty: 700-Level, Combinations
34A botanist selects n^2 trees on an island and studies (2n + Difficulty: 700-Level, Remainders, Source: Princeton Review
35Let a “2-placer” be a terminating decimal, between 0 and 1, for which Difficulty: 700-Level, Combinations, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT
36We define f(n) as the highest non-negative integer power of 7 that Difficulty: 700-Level, Divisibility/Multiples/Factors, Exponents/Powers, Functions and Custom Characters
37List T consist of 30 positive decimals, none of which is an integer Difficulty: 700-Level, Min/Max Problems, Source: Official Guide
38A big cube is formed by rearranging the 160 coloured and 56 Difficulty: 700-Level, Geometry, Percents and Interest Problems
39If a circle passes through points (9,2*sqrt(3)) Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Other - Please specify
40How many integers less than 100 have exactly 4 odd factors b Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties
41How many different pairs of integers (a, b) exist such that 2 <= a <= Difficulty: 700-Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT
42Ms. Barton has four children. You are told correctly that she has at Difficulty: 700-Level, Probability, Source: GMAT Prep EP1, Source: Manhattan GMAT
43Darcy, Gina, Ray and Susan will be the only participants at a meeting. Difficulty: 700-Level, Probability, Source: Kaplan
44Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa Difficulty: 700-Level, Work/Rate Problems
45The figure above shows gas mileage at different speeds for all compact Difficulty: 700-Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other - Please specify
46The elevator in an eleven-story office building travels at Difficulty: 700-Level, Distance/Rate Problems
47Random Pack 1, Question 3 Three circles with radii... Difficulty: 700-Level, Geometry, Source: EMPOWERgmat
48Set S consists of numbers 2, 3, 6, 48, and 164. Number K is Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Probability
49Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and Difficulty: 700-Level, Mixture Problems
50In the diagram, points A, B, and C are on the diameter of Difficulty: 700-Level, Geometry, Source: Kaplan
51What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x Difficulty: 700-Level, Exponents/Powers, Source: GMATPrepNow
52How many 2-inch by 3-inch rectangular tiles are required to tile this Difficulty: 700-Level, Geometry, Source: Other - Please specify
53If x is the reciprocal of a positive integer, then the maximum value o Difficulty: 700-Level, Min/Max Problems, Number Properties, Source: Manhattan GMAT
54A cylindrical tank of radius R and height H must be redesign Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
55Points A and B are 120 km apart. A motorcyclist starts from Difficulty: 700-Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT
56If |12x−5|>|7−6x|, which of the following CANNOT be the Difficulty: 700-Level, Absolute Values/Modulus, Inequalities, Source: Veritas Prep
57A set of five positive integers has an arithmetic mean of 150. A parti Difficulty: 700-Level, Number Properties, Source: Veritas Prep
58Consider a regular polygon of p sides. The number of values Difficulty: 700-Level, Geometry, Number Properties
59For positive integers k and n, the k-power remainder of n is defined Difficulty: 700-Level, Min/Max Problems, Number Properties, Remainders, Source: Manhattan GMAT
60On the number line shown, the distance between 0 and a . . . Difficulty: 700-Level, Absolute Values/Modulus, Algebra, Source: e-GMAT
61A customer using a certain telephone calling plan pays a fee Difficulty: 700-Level, Word Problems, Source: Kaplan
62Louie takes out a three-month loan of $1000. The lender Difficulty: 700-Level, Percents and Interest Problems, Source: Magoosh
63A bag contains 3 red and 2 black ball. Another bag contains 4 red and Difficulty: 700-Level, Probability
64If x and y are integers and 2x + 9y = 57, then the least possible valu Difficulty: 700-Level, Algebra, Source: Veritas Prep
65A sheet of paper ABDE is a 12-by-18-inch rectangle, as shown in Figure Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
66Allen starts from X, goes to Y. At the same time Bob starts from Y and Difficulty: 700-Level, Distance/Rate Problems, Source: Other - Please specify
67The remainder when N is divided by 18 is 16. Given that N is Difficulty: 700-Level, Remainders
68Three men A, B and C working together can do a work in 30 da Difficulty: 700-Level, Work/Rate Problems
69An escalator moves downward from street level to a subway platform at Difficulty: 700-Level, Arithmetic, Distance/Rate Problems, Source: Other - Please specify
70If xy > 0 and (x − 2)(y + 1) < 0, then which of the following must be Difficulty: 700-Level, Absolute Values/Modulus, Inequalities, Must or Could be True Questions, Source: Veritas Prep
71Two different primes may be said to “rhyme” around an integer if they Difficulty: 700-Level, Number Properties, Source: Manhattan GMAT
72The positive value of x that satisfies the equation (1 + 2x) Difficulty: 700-Level, Algebra, Exponents/Powers, Source: Manhattan GMAT
73If a is the sum of x consecutive positive integers. b is the Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT
74It takes 6 days for 3 women and 2 men working together to Difficulty: 700-Level, Work/Rate Problems, Source: 800 Score
75When the number 777 is divided by the integer N, the remaind Difficulty: 700-Level, Remainders, Source: 800 Score
76If integer C is randomly selected from 20 to 99, inclusive. Difficulty: 700-Level, Divisibility/Multiples/Factors, Probability, Source: Manhattan GMAT
77A fair coin is tossed 6 times. What is the probability of getting no Difficulty: 700-Level, Probability
78A bag contains 10 bulbs and 5 torches, out of which 3 bu Difficulty: 700-Level, Probability, Source: e-GMAT
794 individuals arrive separately at an orchestra concert with Difficulty: 700-Level, Probability, Source: Veritas Prep
80The function p(n) on non-negative integer n is defined in Difficulty: 700-Level, Exponents/Powers, Functions and Custom Characters, Source: Manhattan GMAT
81How many even integers n, where 100 <= n <= 200, are divisib Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties
82A certain company plans to sell Product X for p dollars per Difficulty: 700-Level, Probability
83If a and b are distinct integers and a^b = b^a, how many Difficulty: 700-Level, Exponents/Powers, Number Properties, Source: Veritas Prep
84A mixed doubles tennis game is to be played between two team Difficulty: 700-Level, Combinations
85a, b, c, d are positive integers such that exactly one of Difficulty: 700-Level, Inequalities
86The number 523abc is divisible by 7,8,9. Then what is the Difficulty: 700-Level, Divisibility/Multiples/Factors
87A man arrives at a railway station 90 minutes before the tim Difficulty: 700-Level, Distance/Rate Problems
88What is the last non-zero digit of expression Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Other - Please specify
89If y = |x + 5|-|x - 5|, then y can take how many integer Difficulty: 700-Level, Absolute Values/Modulus, Source: GMAT Prep
90Jerry and Jim run a race of 2000 m. First, Jerry gives Jim Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Paper Tests
91Baseball's World Series matches 2 teams against each other Difficulty: 700-Level, Probability, Source: Manhattan GMAT
92How many 3-digit integers between 100 and 200 have a digit Difficulty: 700-Level, Combinations, Source: Kaplan
93Of the three-digit integers greater than 660, how many have Difficulty: 700-Level, Combinations
94In the game of Yahtzee, a "full house" occurs when a player Difficulty: 700-Level, Probability, Source: Veritas Prep
95How many distinct four-digit numbers can be formed by the Difficulty: 700-Level, Combinations, Source: Magoosh
96On planet Simplon, each year has 12 months, each of which Difficulty: 700-Level, Fractions/Ratios/Decimals, Source: Veritas Prep
97A not-so-good clockmaker has four clocks on display in the w Difficulty: 700-Level, Distance/Rate Problems, Source: PowerPrep
9813 students in a class had a medium score 10 and an average score of Difficulty: 700-Level, Statistics and Sets Problems, Source: Other - Please specify
99Suppose x is an integer such that (x^2−x−1)^(x+2)=1 Difficulty: 700-Level, Algebra, Source: Veritas Prep
100How many triangles with positive area can be drawn on the Difficulty: 700-Level, Coordinate Geometry, Geometry
101A cyclist travels the length of a bike path that is 225 Difficulty: 700-Level, Distance/Rate Problems, Inequalities, Source: Manhattan GMAT, Source: PowerPrep
102Ben and Shari have invited three other couples to their apar Difficulty: 700-Level, Combinations, Source: Princeton Review
103In the coordinate axis above, line segment AC is three times Difficulty: 700-Level, Coordinate Geometry, Source: Princeton Review
104Set A is composed of nine numbers, labeled A1 through A9. Set B is als Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT
105John works twice as fast as Peter, but John takes a half hour break af Difficulty: 700-Level, Work/Rate Problems, Source: Other - Please specify
106If m^2 < 225 and n - m = -10, what is the sum f the smallest Difficulty: 700-Level, Algebra, Inequalities, Min/Max Problems, Source: GMAT Club Tests
107In a village of 100 households, 75 have at least one DVD player, 80 Difficulty: 700-Level, Overlapping Sets, Source: 800 Score, Source: GMAT Prep
108Brenda and Sally run in opposite direction on a circular tra Difficulty: 700-Level, Distance/Rate Problems
109Brian is analyzing the performance of certain stocks. He finds that Difficulty: 700-Level, Statistics and Sets Problems, Word Problems, Source: Princeton Review
110A terrible disease sweeps around the world, luckily only affecting 1 Difficulty: 700-Level, Probability, Source: Other - Please specify
111The workforce of a certain company comprised exactly 10,500 Difficulty: 700-Level, Word Problems
112There are 100 freshmen at a particular college, all of whom Difficulty: 700-Level, Overlapping Sets
113In how many ways can 5 different marbles be distributed in 4 Difficulty: 700-Level, Combinations, Source: GMAT Pill
114Pipe A and Pipe B fill water into a tank of capacity 1000 litres at Difficulty: 700-Level, Work/Rate Problems, Source: Other - Please specify
115Three pipes – A, B, and C – are attached to a tank. Pipe A alone can Difficulty: 700-Level, Word Problems, Work/Rate Problems, Source: e-GMAT
1165 letters have to be put in 5 different envelopes numbered 1 through 5 Difficulty: 700-Level, Probability, Source: Other - Please specify
117How many different four-letter words can be formed (the words don't Difficulty: 700-Level, Combinations
118Of a group of people, 10 play piano, 11 play guitar, 14 play Difficulty: 700-Level, Overlapping Sets, Source: Veritas Prep
119An ambulance, an hour after starting, meets with an accident which.... Difficulty: 700-Level, Distance/Rate Problems, Word Problems, Source: Other - Please specify
120How many positive integers less than 1000 are multiples of 5 Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties
121Which of the following is/are true? Difficulty: 700-Level, Absolute Values/Modulus, Inequalities
122At the post office, a letter must go through a sorting process with fo Difficulty: 700-Level, Arithmetic, Fractions/Ratios/Decimals, Word Problems
123Theresa is a basketball player practicing her free throws. On her fir Difficulty: 700-Level, Fractions/Ratios/Decimals, Probability, Source: Magoosh
124Given that a, b, c, and d are different nonzero digits and that 10d + Difficulty: 700-Level, Arithmetic, Must or Could be True Questions, Source: Kaplan
125A list of numbers has six positive integers. Three of those integers Difficulty: 700-Level, Number Properties, Source: Veritas Prep
126Suppose a “Secret Pair” number is a four-digit number in which two adj Difficulty: 700-Level, Combinations, Source: Magoosh
127Alan’s regular hourly wage is 1.5 times Barney’s regular Difficulty: 700-Level, Number Properties, Source: Manhattan GMAT
128Matt is touring a nation in which coins are issued in two am Difficulty: 700-Level, Combinations, Source: Veritas Prep
129A set of 13 integers has a median of 10 and an average of 15. Difficulty: 700-Level, Statistics and Sets Problems, Source: Other - Please specify
130If x is any integer from -6 to 2 inclusive, how many Difficulty: 700-Level, Absolute Values/Modulus, Inequalities, Source: GMATPrepNow
131Bill has a set of 6 black cards and a set of 6 red cards Difficulty: 700-Level, Combinations, Probability, Source: Other - Please specify
132A set of consecutive positive integers beginning with 1 is Difficulty: 700-Level, Statistics and Sets Problems
133Mira is making telescopes, each consisting of 2 lenses, 1 tu Difficulty: 700-Level, Fractions/Ratios/Decimals, Word Problems, Source: Manhattan GMAT
134How many combinations of three letters taken from letters Difficulty: 700-Level, Combinations
135Jane gave Karen a 5 m head start in a 100 race and Jane was Difficulty: 700-Level, Distance/Rate Problems
136A cyclist travels the length of a bike path that is 225 Difficulty: 700-Level, Min/Max Problems, Word Problems, Source: Manhattan GMAT
137In a game of chess the moves of whites and blacks alternate Difficulty: 700-Level, Word Problems, Source: GMAT Club Tests
138How many positive integers less than 10,000 are there in Difficulty: 700-Level, Combinations, Source: Other - Please specify
139Ax(y) is an operation that adds 1 to y Difficulty: 700-Level, Functions and Custom Characters
140Bill and Jane play a simple game involving two fair dice, each of Difficulty: 700-Level, Probability, Source: Manhattan GMAT
141For how many unique pairs of nonnegative integers {a, b} is the equati Difficulty: 700-Level, Algebra, Source: Manhattan GMAT
142A dealer offers a cash discount of 20% and still makes a pro Difficulty: 700-Level, Arithmetic, Percents and Interest Problems
143If x is the smallest positive integer that is not prime and Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Veritas Prep
144For how many different pairs of positive integers (a, b) can Difficulty: 700-Level, Arithmetic, Source: Manhattan GMAT
145Bonds rated B have a 25% chance of default in five years. Bonds rated Difficulty: 700-Level, Probability, Source: Other - Please specify
146An ant is clinging to one corner of a box in the shape of a Difficulty: 700-Level, Combinations, Source: Manhattan GMAT
147The price of a bushel of corn is currently $3.20, and the price of a Difficulty: 700-Level, Word Problems
148A square wooden plaque has a square brass inlay in the Difficulty: 700-Level, Geometry, Must or Could be True Questions, Source: Official Guide
149At a local beach, the ratio of little dogs to average dogs Difficulty: 700-Level, Fractions/Ratios/Decimals, Percents and Interest Problems, Source: Veritas Prep
1507 people (A, B, C, D, E, F and G) go to a movie and sit Difficulty: 700-Level, Combinations, Source: Veritas Prep

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Re: 150 Hardest and easiest questions for PS  [#permalink]

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New post 21 Aug 2015, 03:52
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36

150 Easiest Problem Solving Questions (Jul 1st, 2018 - Aug 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)
RankTitleTopics
1For which of the following values of n is (100+n)/n NOT an Difficulty: Sub-600 Level, Arithmetic, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide
2If n is an integer, which of the following must be even? Difficulty: Sub-600 Level, Must or Could be True Questions, Number Properties, Source: Official Guide
3In the equation above, k is a constant. If y = 17 when x = 2 Difficulty: Sub-600 Level, Algebra, Source: Official Guide
4A bakery opened yesterday with its daily supply of 40 dozen Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
5Which of the following is equivalent to the pair of Difficulty: Sub-600 Level, Inequalities, Source: Official Guide
6If it is assumed that 60 percent of those who receive a questionnaire Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
7The price of a coat in a certain store is $500. If the price of the co Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
8The ratio 2 to 1/3 is equal to the ratio Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
9If x = -1, then -(x^4 + x^3 + x^2 + x) = Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide
10Rectangular Floors X and Y have equal area. If Floor X is 12 Difficulty: Sub-600 Level, Geometry, Source: Official Guide
11If 2/(1+2/y)=1, then y = Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
12What number when multiplied by 4/7 yields 6/7 as the result? Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
13The number 2 - 0.5 is how many times the number 1 - 0.5? Difficulty: Sub-600 Level, Algebra, Source: Official Guide
14On 3 sales John has received commissions of $240, $80, and $ Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
15If the population of a certain country increases at the rate Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
16If n is a prime number greater than 3, what is the remainder Difficulty: Sub-600 Level, Remainders, Source: Official Guide
17150 is what percent of 30 ? Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
18If n is a prime number greater than 3, what is the remainder Difficulty: Sub-600 Level, Number Properties, Source: Official Guide
190.1 + 0.1^2 + 0.1^3 = Difficulty: Sub-600 Level, Arithmetic, Exponents/Powers, Source: Official Guide
20In the figure above, the coordinates of point V are Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide
21If m is an integer such that (-2)^2m = 2^{9 - m}, then m= Difficulty: Sub-600 Level, Exponents/Powers, Source: Official Guide
22Kelly and Chris packed several boxes with books. If Chris Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
231/(1+1/3)-1/(1+1/2) Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
24A rectangular floor that measures 8 meters by 10 meters is to be cover Difficulty: Sub-600 Level, Geometry, Source: Official Guide
25The ratio of the length to the width of a rectangular advert Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
26If Mario was 32 years old 8 years ago, how old was he x year Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
27As a salesperson, Phyllis can choose one of two methods of a Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
28Of the final grades received by the students in a certain Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
29If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
30For which of the following values of s is (50+s)s an integer? Difficulty: Sub-600 Level, Arithmetic, Number Properties, Source: Veritas Prep
311/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
32If x is negative and y is positive, which of the following must be Difficulty: Sub-600 Level, Number Properties, Source: Princeton Review
33In the figure above, what is the ratio of the measure of angle B to Difficulty: Sub-600 Level, Geometry, Source: Official Guide
34The amounts of time that three secretaries worked on a Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
35(1/5)^2 - 1/5*1/4 = Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
36What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3? Difficulty: Sub-600 Level, Algebra, Source: Official Guide
37A fruit-salad mixture consists of apples, peaches, and grape Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide
38Running at the same rate, 8 identical machines can produce 560 papercl Difficulty: Sub-600 Level, Work/Rate Problems, Source: Magoosh
39A student's average (arithmetic mean) test score on 4 tests Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide
40In the Johnsons' monthly budget, the dollar amounts allocate Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
41If 3 - x = 2x - 3, then 4x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
42A certain builder is selling five homes for the following Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: GMAT Prep
43If (-5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ? Difficulty: Sub-600 Level, Exponents/Powers, Source: Grockit
44If f(x)= 5x^3- 2x+8 and g(y)= 6y-4, then g(f(x)) = Difficulty: Sub-600 Level, Algebra, Functions and Custom Characters, Source: 800 Score
45Running at the same constant rate, 6 identical machines can Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide
46If the figure provided is drawn to scale, which of the following point Difficulty: Sub-600 Level, Absolute Values/Modulus, Source: Grockit
47A rectangular garden is to be twice as long as it is wide. Difficulty: Sub-600 Level, Geometry, Source: Official Guide
48Root(80)+root(125) Difficulty: Sub-600 Level, Roots, Source: Official Guide
49If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? Difficulty: Sub-600 Level, Algebra, Source: Official Guide
50The product X of two prime numbers is between 17 and 55. If Difficulty: Sub-600 Level, Number Properties, Source: GMAT Pill
51If f(x)=3x−√x and g(x)=x^2, what is f(g(4))? Difficulty: Sub-600 Level, Algebra, Functions and Custom Characters, Source: GMAT Club Tests
52John is traveling to a meeting that is 28 miles away. He nee Difficulty: Sub-600 Level, Distance/Rate Problems
53Eight identical machines can produce 360 aluminum cans per Difficulty: Sub-600 Level, Work/Rate Problems, Source: Princeton Review
54If O is the center of the circle above, what fraction of the Difficulty: Sub-600 Level, Geometry, Source: Official Guide
55A gym class can be divided into 8 teams with an equal number Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Source: Official Guide
56(1+5^1/2)(1-5^1/2)= Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide
57Three business partners, Q, R, and S, agree to divide their Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide
58If p/q < 1, and p and q are positive integers, which of the Difficulty: Sub-600 Level, Inequalities, Must or Could be True Questions, Source: Official Guide
59(2+2*6^1/2)/2 Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Roots, Source: Official Guide
601/(3-1/(3-1/(3-1)))= Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
61A technician makes a round-trip to and from a certain service center b Difficulty: Sub-600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide
62If Sally can paint a house in 4 hours, and John can paint Difficulty: Sub-600 Level, Work/Rate Problems
63Two years ago, Sam put $1,000 into a savings account. Difficulty: Sub-600 Level, Percents and Interest Problems
64|-4| (|-20|-|5|)= ? Difficulty: Sub-600 Level, Absolute Values/Modulus, Arithmetic
65If x is an even integer, which of the following is an odd integer? Difficulty: Sub-600 Level, Number Properties, Source: Other - Please specify
66What is 3/5 of 5/8 of 2/3? Difficulty: Sub-600 Level, Arithmetic, Source: Manhattan GMAT
671/(0.75-1)= Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
68If y((3x-5)/2) =y and y#0, then x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
69If x/4 is 2 more than x/8, then x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
70(2 3/5 - 1 2/3)/(2/3 - 3/5) Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
71If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is Difficulty: Sub-600 Level, Mixture Problems, Source: Official Guide
72If x and y are odd integers, which of the following must always be a Difficulty: Sub-600 Level, Number Properties, Source: Other - Please specify
73A glucose solution contains 15 grams of glucose per 100 Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
74Of the five coordinates associated with points A, B, C, D Difficulty: Sub-600 Level, Absolute Values/Modulus, Coordinate Geometry, Source: Official Guide
75If x + 5 > 2 and x - 3 < 7, the value of x must be between Difficulty: Sub-600 Level, Inequalities, Source: Official Guide
76If the median of the numbers in list I above is equal to the Difficulty: Sub-600 Level, Must or Could be True Questions, Statistics and Sets Problems, Source: Official Guide
77The price of a certain television set is discounted by 10 pe Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
78The sum of the weekly salaries of 5 employees is $3,250. If each of th Difficulty: Sub-600 Level, Percents and Interest Problems, Statistics and Sets Problems, Source: Official Guide
79In Country X a returning tourist may import goods with a tot Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
80In the xy-plane, what is the slope of the line with equation Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide
81The figure above shows a path around a triangular piece of land. Mary Difficulty: Sub-600 Level, Geometry, Source: Official Guide
82Jim travels the first 3 hours of his journey at 60 mph speed and the Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Other - Please specify
83If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0 Difficulty: Sub-600 Level, Arithmetic, Source: Grockit
84What is the value of 10^8 - 6^7? Difficulty: Sub-600 Level, Arithmetic, Source: Veritas Prep
85In the rectangular coordinate system above, if point R (not Difficulty: Sub-600 Level, Coordinate Geometry, Geometry, Source: Official Guide
86If 60 percent of a rectangular floor is covered by a rectang Difficulty: Sub-600 Level, Arithmetic, Geometry, Source: Official Guide
87If n is the product of the integers from 1 to 8, inclusive Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide
88In a shipment of 120 machine parts, 5 percent were defective Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
89If Jake loses 8 pounds, he will weigh twice as much as his Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
90If |a| = 1/3 and |b| = 2/3, which of the following CANNOT be the resul Difficulty: Sub-600 Level, Absolute Values/Modulus, Arithmetic, Source: Manhattan GMAT
91During a trip that they took together, Carmen, Juan, Maria, a Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide
92A project scheduled to be carried out over a single fiscal Difficulty: Sub-600 Level, Word Problems, Source: 800 Score, Source: Official Guide
93The sum 7/8+1/9 is between Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
94The figure above shows a circular flower bed, with its cente Difficulty: Sub-600 Level, Geometry, Source: Official Guide
95In the figure above, the sum of the three numbers in the hor Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
96Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
97(1/2+1/3)/(1/4) = Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
98How many different groups of 3 people can be formed from a Difficulty: Sub-600 Level, Combinations, Source: GMAT Paper Tests
99A committee is composed of w women and m men. If 3 women and Difficulty: Sub-600 Level, Probability, Source: Official Guide
100If n is a positive integer and k + 2 = 3^n, which of the fol Difficulty: Sub-600 Level, Algebra, Source: Official Guide
101If Henry were to add 5 gallons of water to a tank that is Difficulty: Sub-600 Level, Mixture Problems
102A rope 40 feet long is cut into two pieces. If one piece is Difficulty: Sub-600 Level, Arithmetic, Source: 800 Score, Source: Official Guide
103For what value of x, is |x – 3| + |x + 1| + |x| = 10? Difficulty: Sub-600 Level, Absolute Values/Modulus, Source: Economist GMAT Tutor, Source: Veritas Prep
104In Township K each property is taxed at 8 percent of its assessed Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Other - Please specify
105If x + y = 7 and x – y = 3, then x^2 - y^2 = Difficulty: Sub-600 Level, Algebra, Source: Manhattan GMAT
106Company C produces toy trucks at a cost of $5.00 each for the first 10 Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
107Which of the following must be equal to zero for all real nu Difficulty: Sub-600 Level, Must or Could be True Questions, Number Properties, Source: Official Guide
108If 893 × 78 = p, which of the following is equal to 893 × 79? Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
109If k^2 = m^2, which of the following must be true? Difficulty: Sub-600 Level, Absolute Values/Modulus, Source: Official Guide
110Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo Difficulty: Sub-600 Level, Algebra, Source: Official Guide
111Last week Chris earned x dollars per hour for the first 40 hours worke Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
112Bob drives at an average rate of 50 mph from Berkeley to Los Angeles, Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Magoosh
113Thirty percent of the members of a swim club have passed the Difficulty: Sub-600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide
114If 1 + 1/x = 2 - 2/x, then x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
115In the figure above, if F is a point on the line that bisects angle AC Difficulty: Sub-600 Level, Geometry, Source: Official Guide
116A grocer has 400 pounds of coffee in stock, 20 percent Difficulty: Sub-600 Level, Mixture Problems, Source: Official Guide
117Which of the following equations is NOT equivalent to 4x^2 = y^2 - 9 ? Difficulty: Sub-600 Level, Algebra, Source: GMAT Prep
118Sixty percent of the members of a study group are women, and Difficulty: Sub-600 Level, Probability, Source: Official Guide
119The value of -3-(-10) is how much greater than the value of Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
120A certain machine produces 1,000 units of product P per hour. Working Difficulty: Sub-600 Level, Work/Rate Problems, Source: GMAT Prep
121If |ab| > ab, which of the following must be true? Difficulty: Sub-600 Level, Inequalities, Number Properties, Source: Manhattan GMAT
122The sum of prime numbers that are greater than 60 but less Difficulty: Sub-600 Level, Number Properties, Source: Official Guide
123If x < 0, which of the following represents a positive number? Difficulty: Sub-600 Level, Absolute Values/Modulus, Source: GMAT Prep EP2
124If a < 0, is |a| - a - |2a| = ? Difficulty: Sub-600 Level, Absolute Values/Modulus, Source: Math Revolution
125John has 10 pairs of matched socks. If he loses 7 individual Difficulty: Sub-600 Level, Min/Max Problems, Source: Official Guide
1261-(1/2-2/3)= Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: Princeton Review
127If x > 7, which of the following is equal to (x^2 + 8x + 16)/(x^2 - 16 Difficulty: Sub-600 Level, Algebra, Source: Kaplan
128At the opening of a trading day at a certain stock exchange, the price Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
129During a two-week period, the price of an ounce of silver in Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
130If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ? Difficulty: Sub-600 Level, Number Properties, Source: GMAT Prep EP1
131The table shows a summary of the ticket sales from four performances o Difficulty: Sub-600 Level, Arithmetic, Graphs and Illustrations, Source: Official Guide
132What is the sum of the different positive prime factors of 550? Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Source: GMAT Prep
133If the remainder is 7 when positive integer n is divided by Difficulty: Sub-600 Level, Remainders, Source: GMAT Paper Tests
134(16 + 16)^1/2 = Difficulty: Sub-600 Level, Algebra, Roots, Source: Official Guide
135If 105 divides into n with no remainder, which of the following must Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Remainders, Source: Other - Please specify
136The annual budget of a certain college is to be shown on a c Difficulty: Sub-600 Level, Geometry, Source: Official Guide
137Arithmetic mean and standard deviation of a certain normal Difficulty: Sub-600 Level, Statistics and Sets Problems
138The arithmetic mean and standard deviation of a certain Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: GMAT Prep
139If |a+b|=|a-b|, then a*b must be equal to: Difficulty: Sub-600 Level, Absolute Values/Modulus, Algebra, Source: Kaplan
140On a vacation,Rose exchanged $500.00 for euros at an exchange rate Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
141Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and Difficulty: Sub-600 Level, Geometry, Source: Economist GMAT Tutor
142After 4,000 gallons of water were added to a large water tan Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide
143An artist wishes to paint a circular region on a square post Difficulty: Sub-600 Level, Geometry, Source: Official Guide
144Each week, a clothing salesperson receives a commission equal Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
145A certain restaurant that regularly advertises through the mail has 1, Difficulty: Sub-600 Level, Arithmetic, Word Problems, Source: Official Guide
146Today Rebecca, who is 34 years old, and her daughter, who is 8 years Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
147Scott takes a trip and drives 6 hours from Town X to Town Z at a rate Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Manhattan GMAT
148If x is a positive integer and 4^x – 3 = y, which of the following CAN Difficulty: Sub-600 Level, Algebra, Exponents/Powers, Source: Official Guide
149If a quality control check is made inspecting a sample of 2 Difficulty: Sub-600 Level, Combinations, Source: GMAT Prep
150If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = Difficulty: Sub-600 Level, Functions and Custom Characters, Number Properties, Source: Official Guide

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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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New post 21 Aug 2015, 05:20
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Re: 150 Hardest and easiest questions for PS  [#permalink]

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New post 19 May 2016, 14:46
1
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 in-between?
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Re: 150 Hardest and easiest questions for PS  [#permalink]

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New post 20 May 2016, 01:53
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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 in-between?


Check our Questions Bank, where you can find 600-700 level questions. Also, visit our Search Page to filter questions by various categories.

Hope it helps.
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Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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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New post 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 in-between?


Check our Questions Bank, where you can find 600-700 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: 150 Hardest and easiest questions for PS  [#permalink]

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New post 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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Re: 150 Hardest and easiest questions for PS  [#permalink]

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New post 11 Sep 2016, 03:25
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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: a-nickel-a-dime-and-2-identical-quarters-are-arranged-59417.html

PLEASE READ AND FOLLOW: rules-for-posting-please-read-this-before-posting-133935.html
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New to the Math Forum?
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Resources:
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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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New post 07 Mar 2018, 23:18
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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!
Re: 150 Hardest and easiest questions for PS &nbs [#permalink] 07 Mar 2018, 23:18
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