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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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150 Hardest Problem Solving Questions (Oct 1st, 2017 - Nov 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)
RankTitleTopics
1In the figure, point D divides side BC of triangle ABC into Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
2The sum of four consecutive odd numbers is equal to the sum Difficulty: 700-Level, Sequences
3If two integers are chosen at random out of the set {2, 5, 7 Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT
4An isosceles triangle with one angle of 120° is inscribed in Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
5If the product of all the unique positive divisors of n, a p Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Manhattan GMAT
6If [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
7During the month of April, the average temperatures on day n Difficulty: 700-Level, Absolute Values/Modules, Arithmetic, Coordinate Geometry, Inequalities, Must or Could be True Questions, Sequences, Word Problems
8Daniel is playing a dice game in which a dice is rolled 5 times Difficulty: 700-Level, Probability, Source: Other - Please specify
9Arrow AB which is a line segment exactly 5 units along with Difficulty: 700-Level, Coordinate Geometry, Source: Manhattan GMAT
10A bus from city M is traveling to city N at a constant speed Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Club Tests
11A box contains three pairs of blue gloves and two pairs of Difficulty: 700-Level, Probability, Source: GMAT Club Tests
12The function g(x) is defined for integers x such that if x Difficulty: 700-Level, Algebra, Functions and Custom Characters
13There 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
14Twenty meters of wire is available to fence off a flower bed in the Difficulty: 700-Level, Geometry, Min/Max Problems, Source: Economist GMAT Tutor
15If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest Difficulty: 700-Level, Algebra, Divisibility/Multiples/Factors, Number Properties
16How many even 3 digit integers greater than 700 with Difficulty: 700-Level, Combinations, Source: Official Guide
17In the x-y plane, point (p, q) is a lattice point if both p Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Magoosh
18An integer between 1 and 300, inclusive, is chosen at random Difficulty: 700-Level, Number Properties, Probability, Source: Manhattan GMAT
19x@y = 2x^(1/2) + y^2. How many unique sums of x and y result, if x@y Difficulty: 700-Level, Algebra, Functions and Custom Characters, Source: Magoosh
20How many numbers that are not divisible by 6 divide evenly Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Manhattan GMAT
21A sequence of numbers (geometric sequence) is given by the Difficulty: 700-Level, Absolute Values/Modules, Exponents/Powers, Sequences, Source: Grockit
22On a partly cloudy day, Derek decides to walk back from work Difficulty: 700-Level, Distance/Rate Problems, Source: Veritas Prep
23If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte Difficulty: 700-Level, Absolute Values/Modules, Algebra, Min/Max Problems, Source: Manhattan GMAT
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/Modules
26In a certain sequence, every term after the first is determi Difficulty: 700-Level, Sequences, Source: Manhattan GMAT
27In a certain mathematical activity, we have five cards with five diffe Difficulty: 700-Level, Combinations, Source: Magoosh
28Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa Difficulty: 700-Level, Work/Rate Problems
29A big cube is formed by rearranging the 160 coloured and 56 Difficulty: 700-Level, Geometry, Percents and Interest Problems
30A list of numbers has six positive integers. Three of those integers Difficulty: 700-Level, Statistics and Sets Problems, Source: Veritas Prep
31How many different pairs of integers (a, b) exist such that 2 <= a <= Difficulty: 700-Level, Algebra, Combinations, Inequalities, Source: Manhattan GMAT
32If a circle passes through points (9,2*sqrt(3)) Difficulty: 700-Level, Coordinate Geometry, Geometry, Source: Other - Please specify
33Ms. Barton has four children. You are told correctly that sh Difficulty: 700-Level, Probability, Source: GMAT Prep EP1, Source: Manhattan GMAT
34List T consist of 30 positive decimals, none of which is an Difficulty: 700-Level, Min/Max Problems, Source: Official Guide
35The chart below lists the odds that a horse will place in Difficulty: 700-Level, Probability, Source: Princeton Review
36How many different combinations of outcomes can you make by Difficulty: 700-Level, Combinations
37The elevator in an eleven-story office building travels at Difficulty: 700-Level, Distance/Rate Problems
38Darcy, Gina, Ray and Susan will be the only participants at a meeting. Difficulty: 700-Level, Probability, Source: Kaplan
39Set S consists of numbers 2, 3, 6, 48, and 164. Number K is Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Probability
40Let a “2-placer” be a terminating decimal, between 0 and 1, for which Difficulty: 700-Level, Fractions/Ratios/Decimals, Number Properties, Source: Manhattan GMAT
41In the diagram, points A, B, and C are on the diameter of Difficulty: 700-Level, Geometry, Source: Kaplan
42Pam and Robin each roll a pair of fair, six-sided dice. What is the pr Difficulty: 700-Level, Probability, Source: Veritas Prep
43If integer C is randomly selected from 20 to 99, inclusive. Difficulty: 700-Level, Divisibility/Multiples/Factors, Probability, Source: Manhattan GMAT
44How many integers less than 100 have exactly 4 odd factors b Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties
45A trail mix company keeps costs down by employing the peanuts:cashews: Difficulty: 700-Level, Fractions/Ratios/Decimals, Source: Veritas Prep
46We define f(n) as the highest power of 7 that divides n. Wha Difficulty: 700-Level, Arithmetic, Exponents/Powers, Functions and Custom Characters
47The figure above shows gas mileage at different speeds for all compact Difficulty: 700-Level, Distance/Rate Problems, Graphs and Illustrations, Source: Other - Please specify
48Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and Difficulty: 700-Level, Mixture Problems
49A botanist selects n^2 trees on an island and studies (2n + Difficulty: 700-Level, Remainders, Source: Princeton Review
50How many integral values of k are possible, if the lines 3x+ Difficulty: 700-Level, Coordinate Geometry
51A bag contains 3 red and 2 black ball. Another bag contains 4 red and Difficulty: 700-Level, Probability
52If |12x−5|>|7−6x|, which of the following CANNOT be the Difficulty: 700-Level, Absolute Values/Modules, Inequalities, Source: Veritas Prep
53The function p(n) on non-negative integer n is defined in Difficulty: 700-Level, Exponents/Powers, Functions and Custom Characters, Source: Manhattan GMAT
54Points A and B are 120 km apart. A motorcyclist starts from Difficulty: 700-Level, Distance/Rate Problems, Geometry, Source: Manhattan GMAT
55A set of five positive integers has an arithmetic mean of 150. A parti Difficulty: 700-Level, Number Properties, Source: Veritas Prep
56A customer using a certain telephone calling plan pays a fee Difficulty: 700-Level, Word Problems, Source: Kaplan
574 individuals arrive separately at an orchestra concert with Difficulty: 700-Level, Probability, Source: Veritas Prep
58An escalator moves downward from street level to a subway platform at Difficulty: 700-Level, Arithmetic, Distance/Rate Problems, Source: Other - Please specify
59The positive value of x that satisfies the equation (1 + 2x) Difficulty: 700-Level, Algebra, Exponents/Powers, Source: Manhattan GMAT
60How many 4-digit numbers can be formed by using the digits 0 Difficulty: 700-Level, Combinations
61If a and b are distinct integers and a^b = b^a, how many Difficulty: 700-Level, Exponents/Powers, Number Properties, Source: Veritas Prep
62Random Pack 1, Question 3 Three circles with radii... Difficulty: 700-Level, Geometry, Source: EMPOWERgmat
63Louie takes out a three-month loan of $1000. The lender Difficulty: 700-Level, Percents and Interest Problems, Source: Magoosh
64A man arrives at a railway station 90 minutes before the tim Difficulty: 700-Level, Distance/Rate Problems
65When the number 777 is divided by the integer N, the remaind Difficulty: 700-Level, Remainders, Source: 800 Score
66Consider a regular polygon of p sides. The number of values Difficulty: 700-Level, Geometry, Number Properties
67A cylindrical tank of radius R and height H must be redesign Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
68Jerry and Jim run a race of 2000 m. First, Jerry gives Jim Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Paper Tests
69Three men A, B and C working together can do a work in 30 da Difficulty: 700-Level, Work/Rate Problems
70For 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
71If a is the sum of x consecutive positive integers. b is the Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT
72Pipe A and Pipe B fill water into a tank of capacity 1000 litres at Difficulty: 700-Level, Work/Rate Problems, Source: Other - Please specify
73If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of th Difficulty: 700-Level, Algebra, Source: Math Revolution
74In how many ways can 5 different marbles be distributed in 4 Difficulty: 700-Level, Combinations, Source: GMAT Pill
75Brenda and Sally run in opposite direction on a circular tra Difficulty: 700-Level, Distance/Rate Problems
76How many even integers n, where 100 <= n <= 200, are divisib Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties
77A cyclist travels the length of a bike path that is 225 Difficulty: 700-Level, Distance/Rate Problems, Inequalities, Source: Manhattan GMAT, Source: PowerPrep
78The remainder when N is divided by 18 is 16. Given that N is Difficulty: 700-Level, Remainders
79How many 3-digit integers between 100 and 200 have a digit Difficulty: 700-Level, Combinations, Source: Kaplan
80Brian is analyzing the performance of certain stocks. He finds that Difficulty: 700-Level, Statistics and Sets Problems, Word Problems, Source: Princeton Review
81Baseball's World Series matches 2 teams against each other Difficulty: 700-Level, Probability, Source: Manhattan GMAT
82How many distinct four-digit numbers can be formed by the Difficulty: 700-Level, Combinations, Source: Magoosh
83The number 523abc is divisible by 7,8,9. Then what is the Difficulty: 700-Level, Divisibility/Multiples/Factors
84If y = |x + 5|-|x - 5|, then y can take how many integer Difficulty: 700-Level, Absolute Values/Modules, Source: GMAT Prep
85Mike started working at 18 and retires at 60. He spent the first 1/5 Difficulty: 700-Level, Fractions/Ratios/Decimals, Source: Other - Please specify
86Suppose x is an integer such that (x^2−x−1)^(x+2)=1 Difficulty: 700-Level, Algebra, Source: Veritas Prep
87Suppose a “Secret Pair” number is a four-digit number in which two adj Difficulty: 700-Level, Combinations, Source: Magoosh
88|x + 3| = |y -4|, where x and y are non-zer Difficulty: 700-Level, Algebra, Inequalities, Min/Max Problems, Source: e-GMAT
89a, b, c, d are positive integers such that exactly one of Difficulty: 700-Level, Inequalities
90How many triangles with positive area can be drawn on the Difficulty: 700-Level, Coordinate Geometry, Geometry
91A circle is inscribed in a square with an area of 121 square Difficulty: 700-Level, Combinations, Geometry, Source: 800 Score
92A bag contains 10 bulbs and 5 torches, out of which 3 bu Difficulty: 700-Level, Probability, Source: e-GMAT
93An alloy of copper and aluminum has 40% copper. An alloy of Copper and Difficulty: 700-Level, Mixture Problems, Source: Other - Please specify
94How many positive integers less than 1000 are multiples of 5 Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties
95On the number line shown, the distance between 0 and a . . . Difficulty: 700-Level, Absolute Values/Modules, Algebra, Source: e-GMAT
96There are 100 freshmen at a particular college, all of whom Difficulty: 700-Level, Overlapping Sets
97If x is the smallest positive integer that is not prime and Difficulty: 700-Level, Divisibility/Multiples/Factors, Source: Veritas Prep
98Set A is composed of nine numbers, labeled A1 through A9. Set B is als Difficulty: 700-Level, Statistics and Sets Problems, Source: Manhattan GMAT
99If x is the reciprocal of a positive integer, then the maximum value o Difficulty: 700-Level, Min/Max Problems, Number Properties, Source: Manhattan GMAT
100For how many different pairs of positive integers (a, b) can Difficulty: 700-Level, Arithmetic, Source: Manhattan GMAT
101Of a group of people, 10 play piano, 11 play guitar, 14 play Difficulty: 700-Level, Overlapping Sets, Source: Veritas Prep
102Of the three-digit integers greater than 660, how many have Difficulty: 700-Level, Combinations
103A fair coin is tossed 6 times. What is the probability of getting no Difficulty: 700-Level, Probability
104There are three secretaries who work for four departments. Difficulty: 700-Level, Combinations, Probability, Source: Kaplan Advanced
105In a village of 100 households, 75 have at least one DVD player, 80 Difficulty: 700-Level, Overlapping Sets, Source: 800 Score, Source: GMAT Prep
106A dealer offers a cash discount of 20% and still makes a pro Difficulty: 700-Level, Arithmetic, Percents and Interest Problems
107Ben and Shari have invited three other couples to their apar Difficulty: 700-Level, Combinations, Source: Princeton Review
108How many different four-letter words can be formed (the words don't Difficulty: 700-Level, Combinations
109If x is any integer from -6 to 2 inclusive, how many Difficulty: 700-Level, Absolute Values/Modules, Inequalities, Source: GMATPrepNow
110A set of consecutive positive integers beginning with 1 is Difficulty: 700-Level, Statistics and Sets Problems
111Ax(y) is an operation that adds 1 to y Difficulty: 700-Level, Functions and Custom Characters
112If m^2 < 225 and n - m = -10, what is the sum f the smallest Difficulty: 700-Level, Inequalities, Min/Max Problems, Source: GMAT Club Tests
113Allen 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
114How many 2-inch by 3-inch rectangular tiles are required to tile this Difficulty: 700-Level, Geometry, Source: Other - Please specify
115A certain company plans to sell Product X for p dollars per Difficulty: 700-Level, Probability
116Set A consists of 2 positive integers, and set B consists Difficulty: 700-Level, Statistics and Sets Problems, Source: GMATPrepNow
117On planet Simplon, each year has 12 months, each of which Difficulty: 700-Level, Fractions/Ratios/Decimals, Source: Veritas Prep
118A mixed doubles tennis game is to be played between two team Difficulty: 700-Level, Combinations
119In a game of chess the moves of whites and blacks alternate Difficulty: 700-Level, Word Problems, Source: GMAT Club Tests
120A sheet of paper ABDE is a 12-by-18-inch rectangle, as shown in Figure Difficulty: 700-Level, Geometry, Source: Manhattan GMAT
121How many combinations of three letters taken from letters Difficulty: 700-Level, Combinations
122How many positive integers less than 10,000 are there in Difficulty: 700-Level, Combinations, Source: Other - Please specify
123What is the product of all values of x that satisfies the equation: Difficulty: 700-Level, Algebra, Roots, Source: e-GMAT
1245 letters have to be put in 5 different envelopes numbered 1 through 5 Difficulty: 700-Level, Probability, Source: Other - Please specify
125At the post office, a letter must go through a sorting process with fo Difficulty: 700-Level, Arithmetic, Fractions/Ratios/Decimals, Word Problems
126An ant is clinging to one corner of a box in the shape of a Difficulty: 700-Level, Combinations, Source: Manhattan GMAT
127Matt is touring a nation in which coins are issued in two am Difficulty: 700-Level, Combinations, Source: Veritas Prep
128If a line which has the equation 7x + 17y = 1000 is plotted on X-Y pla Difficulty: 700-Level, Algebra, Coordinate Geometry, Source: Other - Please specify
129A not-so-good clockmaker has four clocks on display in the w Difficulty: 700-Level, Distance/Rate Problems, Source: PowerPrep
130Alan’s regular hourly wage is 1.5 times Barney’s regular Difficulty: 700-Level, Number Properties, Source: Manhattan GMAT
131How many 4 digit numbers are there, if it is known that the Difficulty: 700-Level, Combinations, Source: Economist GMAT Tutor
132What is the last non-zero digit of expression Difficulty: 700-Level, Divisibility/Multiples/Factors, Number Properties, Source: Other - Please specify
133If -2 < x <= 5, then which of the following MUST be true? Difficulty: 700-Level, Exponents/Powers, Inequalities, Source: GMATPrepNow
134A man cycling along the road noticed that every 12 minutes Difficulty: 700-Level, Distance/Rate Problems, Source: GMAT Club Tests
135At a local beach, the ratio of little dogs to average dogs Difficulty: 700-Level, Fractions/Ratios/Decimals, Percents and Interest Problems, Source: Veritas Prep
136The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. Difficulty: 700-Level, Combinations, Source: Other - Please specify
137A cylindrical tank with radius 3 meters is filled with a solution. The Difficulty: 700-Level, Geometry
138Two different primes may be said to “rhyme” Difficulty: 700-Level, Number Properties, Source: Manhattan GMAT
1393 cooks have to make 80 burgers.They are known to make 20 Difficulty: 700-Level, Work/Rate Problems
140A cyclist travels the length of a bike path that is 225 Difficulty: 700-Level, Min/Max Problems, Word Problems, Source: Manhattan GMAT
141In the game of Yahtzee, a "full house" occurs when a player Difficulty: 700-Level, Probability, Source: Veritas Prep
142What is the sum of all solutions to the equation x^(2x² + 4x – 6) = x Difficulty: 700-Level, Exponents/Powers, Source: GMATPrepNow
143A square wooden plaque has a square brass inlay in the Difficulty: 700-Level, Geometry, Must or Could be True Questions, Source: Official Guide
144If x+|x|+y=7 and x+|y|-y=6 what is x+y=? Difficulty: 700-Level, Absolute Values/Modules, Source: Magoosh
145Jane gave Karen a 5 m head start in a 100 race and Jane was Difficulty: 700-Level, Distance/Rate Problems
146Theresa is a basketball player practicing her free throws. On her fir Difficulty: 700-Level, Fractions/Ratios/Decimals, Probability, Source: Magoosh
147|x+3| - |4-x| = |8+x|. How many solutions does the equation Difficulty: 700-Level, Absolute Values/Modules
148In the coordinate axis above, line segment AC is three times Difficulty: 700-Level, Coordinate Geometry, Source: Princeton Review
149If |-x/3 + 1| < 2, which of the following must be true? Difficulty: 700-Level, Absolute Values/Modules, Inequalities, Source: Jamboree
150The workforce of a certain company comprised exactly 10,500 Difficulty: 700-Level, Word Problems

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

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150 Easiest Problem Solving Questions (Oct 1st, 2017 - Nov 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)
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
2In the equation above, k is a constant. If y = 17 when x = 2 Difficulty: Sub-600 Level, Algebra, Source: Official Guide
3If 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
4If it is assumed that 60 percent of those who receive a questionnaire Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
5A bakery opened yesterday with its daily supply of 40 dozen Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
6The ratio 2 to 1/3 is equal to the ratio Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, 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
8Rectangular Floors X and Y have equal area. If Floor X is 12 Difficulty: Sub-600 Level, Geometry, Source: Official Guide
9Which of the following is equivalent to the pair of Difficulty: Sub-600 Level, Inequalities, Source: Official Guide
10If 2/(1+2/y)=1, then y = Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
11If x = -1, then -(x^4 + x^3 + x^2 + x) = Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide
120.1+0.1^2+0.1^3= Difficulty: Sub-600 Level, Arithmetic, Exponents/Powers, 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
14150 is what percent of 30 ? Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
15If n is a prime number greater than 3, what is the remainder Difficulty: Sub-600 Level, Remainders, Source: Official Guide
16If n is a prime number greater than 3, what is the remainder Difficulty: Sub-600 Level, Number Properties, Source: Official Guide
17What number when multiplied by 4/7 yields 6/7 as the result? Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
18In the figure above, the coordinates of point V are Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide
19On 3 sales John has received commissions of $240, $80, and $ Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
20If m is an integer such that (-2)^2m = 2^{9 - m}, then m= Difficulty: Sub-600 Level, Exponents/Powers, Source: Official Guide
21If the population of a certain country increases at the rate Difficulty: Sub-600 Level, Word Problems, 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
24The ratio of the length to the width of a rectangular advert Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
25Of the final grades received by the students in a certain Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
26(1/5)^2 - 1/5*1/4 = Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
27If Mario was 32 years old 8 years ago, how old was he x year Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
28Running at the same constant rate, 6 identical machines can Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide
29A student's average (arithmetic mean) test score on 4 tests Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide
30In the figure above, what is the ratio of the measure of angle B to Difficulty: Sub-600 Level, Geometry, Source: Official Guide
31As a salesperson, Phyllis can choose one of two methods of a Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
32If O is the center of the circle above, what fraction of the Difficulty: Sub-600 Level, Geometry, Source: Official Guide
33A fruit-salad mixture consists of apples, peaches, and grape Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
34If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
35If 3 - x = 2x - 3, then 4x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
36A rectangular floor that measures 8 meters by 10 meters is to be cover Difficulty: Sub-600 Level, Geometry, Source: Official Guide
37If 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
38In the Johnsons' monthly budget, the dollar amounts allocate Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
391/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
401/(0.75-1)= Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
41If 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
42If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? Difficulty: Sub-600 Level, Algebra, Source: Official Guide
43The amounts of time that three secretaries worked on a Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
44Root(80)+root(125) Difficulty: Sub-600 Level, Roots, Source: Official Guide
45A rectangular garden is to be twice as long as it is wide. Difficulty: Sub-600 Level, Geometry, Source: Official Guide
46John is traveling to a meeting that is 28 miles away. He nee Difficulty: Sub-600 Level, Distance/Rate Problems
47(2+2*6^1/2)/2 Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Roots, Source: Official Guide
48For which of the following values of s is (50+s)s an integer? Difficulty: Sub-600 Level, Arithmetic, Number Properties, Source: Veritas Prep
49Three business partners, Q, R, and S, agree to divide their Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide
50If x + 5 > 2 and x - 3 < 7, the value of x must be between Difficulty: Sub-600 Level, Inequalities, Source: Official Guide
51If 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
521/(3-1/(3-1/(3-1)))= Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
53A glucose solution contains 15 grams of glucose per 100 Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
54A gym class can be divided into 8 teams with an equal number Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Source: Official Guide
55If 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
56|-4| (|-20|-|5|)= ? Difficulty: Sub-600 Level, Absolute Values/Modules, Arithmetic
57(1+5^1/2)(1-5^1/2)= Difficulty: Sub-600 Level, Algebra, Arithmetic, Source: Official Guide
58Eight identical machines can produce 360 aluminum cans per Difficulty: Sub-600 Level, Work/Rate Problems, Source: Princeton Review
59Of the five coordinates associated with points A, B, C, D Difficulty: Sub-600 Level, Absolute Values/Modules, Coordinate Geometry, Source: Official Guide
60Running at the same rate, 8 identical machines can produce 560 papercl Difficulty: Sub-600 Level, Work/Rate Problems, Source: Magoosh
61If x is negative and y is positive, which of the following must be Difficulty: Sub-600 Level, Number Properties, Source: Princeton Review
62If y((3x-5)/2) =y and y#0, then x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
63If x/4 is 2 more than x/8, then x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
64The price of a certain television set is discounted by 10 pe Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
65In Country X a returning tourist may import goods with a tot Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
66A 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
67In the rectangular coordinate system above, if point R (not Difficulty: Sub-600 Level, Coordinate Geometry, Geometry, Source: Official Guide
68If 60 percent of a rectangular floor is covered by a rectang Difficulty: Sub-600 Level, Arithmetic, Geometry, Source: Official Guide
69If (-5)^(4x) = 5^(9 + x) and x is an integer, what is the value of x ? Difficulty: Sub-600 Level, Exponents/Powers, Source: Grockit
70What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3? Difficulty: Sub-600 Level, Algebra, Source: Official Guide
71A project scheduled to be carried out over a single fiscal Difficulty: Sub-600 Level, Word Problems, Source: 800 Score, Source: Official Guide
72The figure above shows a circular flower bed, with its cente Difficulty: Sub-600 Level, Geometry, Source: Official Guide
73If n is a positive integer and k + 2 = 3^n, which of the fol Difficulty: Sub-600 Level, Algebra, Source: Official Guide
74The figure above shows a path around a triangular piece of land. Mary Difficulty: Sub-600 Level, Geometry, Source: Official Guide
75Running at the same constant rate, 6 identical machines can Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide
76In the xy-plane, what is the slope of the line with equation Difficulty: Sub-600 Level, Coordinate Geometry, Source: Official Guide
77If Sally can paint a house in 4 hours, and John can paint Difficulty: Sub-600 Level, Work/Rate Problems
78(2 3/5 - 1 2/3)/(2/3 - 3/5) Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
79The sum 7/8+1/9 is between Difficulty: Sub-600 Level, Arithmetic, Fractions/Ratios/Decimals, Source: Official Guide
80The product X of two prime numbers is between 17 and 55. If Difficulty: Sub-600 Level, Number Properties, Source: GMAT Pill
81If the figure provided is drawn to scale, which of the following point Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Grockit
82In a shipment of 120 machine parts, 5 percent were defective Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
83If x is an even integer, which of the following is an odd integer? Difficulty: Sub-600 Level, Number Properties, Source: Other - Please specify
84In Township K each property is taxed at 8 percent of its assessed Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Other - Please specify
85If n is the product of the integers from 1 to 8, inclusive Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Number Properties, Source: Official Guide
86A rope 40 feet long is cut into two pieces. If one piece is Difficulty: Sub-600 Level, Arithmetic, Source: 800 Score, Source: Official Guide
87A committee is composed of w women and m men. If 3 women and Difficulty: Sub-600 Level, Probability, Source: Official Guide
88If 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
89Two years ago, Sam put $1,000 into a savings account. Difficulty: Sub-600 Level, Percents and Interest Problems
90What is 3/5 of 5/8 of 2/3? Difficulty: Sub-600 Level, Arithmetic, Source: Manhattan GMAT
91If Jake loses 8 pounds, he will weigh twice as much as his Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
92For what value of x, is |x – 3| + |x + 1| + |x| = 10? Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Economist GMAT Tutor, Source: Veritas Prep
93The sum of the weekly salaries of 5 employees is $3,250. If each of th Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
94The sum of prime numbers that are greater than 60 but less Difficulty: Sub-600 Level, Number Properties, Source: Official Guide
95If 1 + 1/x = 2 - 2/x, then x = Difficulty: Sub-600 Level, Algebra, Source: Official Guide
96In the figure above, the sum of the three numbers in the hor Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
97Which 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
98If |a| = 1/3 and |b| = 2/3, which of the following CANNOT be the resul Difficulty: Sub-600 Level, Absolute Values/Modules, Arithmetic, Source: Manhattan GMAT
99If 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
100Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo Difficulty: Sub-600 Level, Algebra, Source: Official Guide
101If x and y are odd integers, which of the following must always be a Difficulty: Sub-600 Level, Number Properties, Source: Other - Please specify
102Sixty percent of the members of a study group are women, and Difficulty: Sub-600 Level, Probability, Source: Official Guide
103During a two-week period, the price of an ounce of silver in Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
104Jim 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
105John has 10 pairs of matched socks. If he loses 7 individual Difficulty: Sub-600 Level, Min/Max Problems, Source: Official Guide
106In the figure above, if F is a point on the line that bisects angle AC Difficulty: Sub-600 Level, Geometry, Source: Official Guide
107If k^2 = m^2, which of the following must be true? Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Official Guide
108Thirty percent of the members of a swim club have passed the Difficulty: Sub-600 Level, Percents and Interest Problems, Word Problems, Source: Official Guide
1091-(1/2-2/3)= Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide, Source: Princeton Review
110The value of -3-(-10) is how much greater than the value of Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
111(16 + 16)^1/2 = Difficulty: Sub-600 Level, Algebra, Roots, Source: Official Guide
112If a quality control check is made inspecting a sample of 2 Difficulty: Sub-600 Level, Combinations, Source: GMAT Prep
113If x + y= 8z, then which of the following represents the ave Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide
114Company C produces toy trucks at a cost of $5.00 each for the first 10 Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
115If k^2 = m^2, which of the following must be true? Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Official Guide
11617^3 + 17^4 = Difficulty: Sub-600 Level, Arithmetic, Exponents/Powers, Source: Official Guide
117If 893 × 78 = p, which of the following is equal to 893 × 79? Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
118The annual budget of a certain college is to be shown on a c Difficulty: Sub-600 Level, Geometry, Source: Official Guide
119If the remainder is 7 when positive integer n is divided by Difficulty: Sub-600 Level, Remainders, Source: GMAT Paper Tests
120If a basketball team scores an average (arithmetic mean) of x points Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide
121If the length of an edge of cube X is twice the length of an Difficulty: Sub-600 Level, Geometry, Source: Official Guide
122An artist wishes to paint a circular region on a square post Difficulty: Sub-600 Level, Geometry, Source: Official Guide
123The maximum recommended pulse rate R, when exercising, for a Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
124The average (arithmetic mean) of 6 numbers is 8.5. When one Difficulty: Sub-600 Level, Statistics and Sets Problems, Source: Official Guide
125When Leo imported a certain item, he paid a 7 percent import Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
126If x = 1- 3t and y = 2t - 1, then for what value of t does x Difficulty: Sub-600 Level, Algebra, Source: Official Guide
127If |a+b|=|a-b|, then a*b must be equal to: Difficulty: Sub-600 Level, Absolute Values/Modules, Algebra, Source: Kaplan
128Machine A produces bolts at a uniform rate of 120 every 40 Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide
129In a certain city, 60 percent of the registered voters are Difficulty: Sub-600 Level, Percents and Interest Problems, Source: 800 Score, Source: Official Guide
130At the opening of a trading day at a certain stock exchange, the price Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
131After 4,000 gallons of water were added to a large water tan Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide
132If 25 percent of p is equal to 10 percent of q, and pq#0, th Difficulty: Sub-600 Level, Percents and Interest Problems, Source: Official Guide
133A grocer has 400 pounds of coffee in stock, 20 percent Difficulty: Sub-600 Level, Mixture Problems, Source: Official Guide
134If x + y = 7 and x – y = 3, then x^2 - y^2 = Difficulty: Sub-600 Level, Algebra, Source: Manhattan GMAT
135If m^(-1) = -1/3 then m^(-2) is equal to Difficulty: Sub-600 Level, Exponents/Powers, Source: Official Guide
13630^10/150^5 = ? Difficulty: Sub-600 Level, Exponents/Powers, Source: Math Revolution
137Today Rebecca, who is 34 years old, and her daughter, who is 8 years Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
138What is the 25th digit to the right of the decimal point in Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
139A certain fishing boat is chartered by 6 people who are to c Difficulty: Sub-600 Level, Word Problems, Source: Official Guide
140ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all eq Difficulty: Sub-600 Level, Geometry, Source: Other - Please specify
141On a vacation,Rose exchanged $500.00 for euros at an exchange rate Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
142If a < 0, is |a| - a - |2a| = ? Difficulty: Sub-600 Level, Absolute Values/Modules, Source: Math Revolution
143There are 4 more women than men on Centerville’s board of Difficulty: Sub-600 Level, Arithmetic, Source: Official Guide
144Machine A produces 100 parts twice as fast as Machine B does Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide
145Car X and Car Y traveled the same 80-mile route. If Car X to Difficulty: Sub-600 Level, Distance/Rate Problems, Source: Official Guide
146Arithmetic mean and standard deviation of a certain normal Difficulty: Sub-600 Level, Statistics and Sets Problems
147Members of a social club met to address 280 newsletters. If Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Word Problems, Source: Official Guide
148If 105 divides into n with no remainder, which of the following must Difficulty: Sub-600 Level, Divisibility/Multiples/Factors, Remainders, Source: Other - Please specify
149Of the following, which is least? Difficulty: Sub-600 Level, Fractions/Ratios/Decimals, Source: Official Guide
150Three printing presses, R, S, and T, working together at the Difficulty: Sub-600 Level, Work/Rate Problems, Source: Official Guide

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

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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 in-between?

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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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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

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.


What are GMAT Club Tests?
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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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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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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.


What are GMAT Club Tests?
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