? We have pulled timer results from our database and analyzed every question in the forum. Based on those results, we have compiled a list of the hardest questions in each of the question forums we have. Below I am presenting to you the top 100 questions from DS forum.
Data Sufficiency (DS) | Rank | Title | Topics |
1 | Train A leaves New York for Boston at 3 PM and travels at | Distance/Rate Problems |
2 | Bob and Wendy left home to walk together to a restaurant for | Distance/Rate Problems |
3 | For integers a and b, if (a^3 a^2 b)^1/2 = 7, what is the | Algebra |
4 | If, in the addition problem above, a, b, c, d, e, f, x, y, a | Arithmetic |
6 | If a does not = 0, is 1/a > a/(b^4 + 3) | Algebra/Inequalities |
7 | w, x, y, and z are integers. If z > y > x > w, is |w| > x^2 | Inequalities/Absolute Values/Modules |
8 | w, x, y, and z are integers. If w >x>y>z>0, is y a common | Number Properties/Divisibility/Multiples/Factors |
9 | In a group of 80 college students, how many own a car? (1) | Overlapping Sets |
10 | In the correctly worked addition problem above, A, B, C, D | Arithmetic/Number Properties |
11 | A rectangle is plotted on the standard coordinate plane | Coordinate Geometry |
12 | If w>x>y>z>0, is z>4? | Fractions/Ratios/Decimals/Inequalities |
13 | The average of 5 distinct single digit integers is 5. If | Number Properties |
15 | If 20 Swiss Francs is enough to buy 9 notebooks and 3 | Inequalities/Word Problems |
16 | Is |2a 3b| < |a b| + |a 2b| | Absolute Values/Modules |
17 | If x and y are positive integers, what is the greatest | Divisibility/Multiples/Factors |
18 | What is the perimeter of PQRS ? (1) x = 30 degree | Geometry |
19 | If x, y, and z are positive integers such that x < y < z | Number Properties/Divisibility/Multiples/Factors |
20 | How many subordinates does Marcia have? | Combinations |
21 | At a restaurant, a group of friends ordered four main dishes | Min/Max Problems |
22 | A certain salesman's yearly income is determined by a base | Percent and Interest Problems/Word Problems |
23 | Is 1/(x-y) < y - x | Algebra/Inequalities |
24 | Between 1980 and 1985, Pierres investment portfolio increas | Percent and Interest Problems |
25 | A cube is made up of equal smaller cubes. Two of the sides | Geometry |
26 | Of all the attendees at a dinner party, 40% were women. If | Overlapping Sets |
27 | If x and y are positive integers is y odd? | Number Properties/Algebra |
28 | If 5a=9b=15c, what is the value of a+b+c? | Algebra |
29 | In a certain club, every member likes red wine or white wine | Overlapping Sets |
30 | Jane can paint the wall in J hours, and Bill can paint the | Work/Rate Problems/Word Problems |
31 | A set of nonnegative integers consists of | Sequences |
32 | A committee of 2 people is to be formed from a group of 8 | Probability |
33 | In the xy-plane, region R consists of all the points (x, y) | Inequalities/Coordinate Geometry |
34 | If x is an integer, what is the value of x? | Absolute Values/Modules |
35 | If the graph of y = x^2 + ax + b passes through the points | Coordinate Geometry |
36 | If p, x, and y are positive integers, y is odd, and p = x^2 | Divisibility/Multiples/Factors/Number Properties/Remainders |
37 | Is x^2*y^4 an integer divisible by 9 ? | Number Properties/Divisibility/Multiples/Factors |
38 | A person inherited few gold coins from his father. If he | Remainders/Word Problems |
40 | Laura sells encyclopaedias, and her monthly income has two | Word Problems/Out of Scope - Too Hard |
41 | If x, y, and z are integers greater than 1, and | Number Properties/Exponents/Powers |
42 | If n is an integer greater than 1 is 3^n-2^n divisible by 35 | Number Properties/Exponents/Powers/Divisibility/Multiples/Factors |
43 | Is |x|<1? | Inequalities/Absolute Values/Modules |
44 | Is A + B + C even? | Number Properties |
45 | If a, b and c are integers such that b > a, is b+c > a | Inequalities/Geometry |
46 | Reiko drove from point A to point B at a constant speed, and | Distance/Rate Problems |
47 | If x^2 = y + 5, y = z - 2 and z = 2x, is x^3 + y^2 + z | Divisibility/Multiples/Factors/Algebra |
48 | A Farey sequence of order n is the sequence of fractions | Sequences |
49 | Last year, a certain company began manufacturing product X a | Word Problems |
50 | At Western Springs School there are 150 total students | Overlapping Sets |
51 | Is A positive? x^2-2x+A is positive for all x Ax^2+1 is | Algebra |
54 | If for any positive integer x, d[x] denotes its smallest odd | Divisibility/Multiples/Factors/Functions and Custom Characters |
55 | x is an integer and x raised to any odd integer is greater | Exponents/Powers/Algebra |
56 | If x^2 = y + 5 , y = z - 2 and z = 2x , is x^3 + y^2 + z | Algebra/Divisibility/Multiples/Factors |
58 | Six shipments of machine parts were shipped from a factory | Fractions/Ratios/Decimals/Word Problems |
59 | Does the curve (x-a)^2 + (y-b)^2=16 intersect the y-axis ? | Coordinate Geometry/Geometry |
60 | If a and b are positive integers, what is the remainder when | Divisibility/Multiples/Factors/Number Properties/Remainders |
61 | If p and q are negative, is p/q > 1 | Absolute Values/Modules/Inequalities |
62 | Is x^2 + y^2 > 100? | Exponents/Powers/Algebra |
63 | If vertices of a triangle have coordinates (-2,2), (3,2) and | Coordinate Geometry/Absolute Values/Modules |
64 | If xy 0, is x > y? (1) 4x = 3y (2) |y - x| = x - y | Absolute Values/Modules/Inequalities |
65 | Is xy<0 ? (1) x^3*y^5/x*y^2 <0 (2) |x|-|y|<|x-y | Absolute Values/Modules/Inequalities |
66 | If m and n are positive integers, is the remainder of | Remainders |
67 | A right circular cone, twice as tall as it is wide at its | Geometry |
68 | If the base score is between 10 and 99, the bonus is equal | Word Problems/Arithmetic |
69 | Which of the two values 10^(-2) and 10^(-3), is x more close | Arithmetic/Exponents/Powers |
70 | If x is positive, what is the value of |x 3| 2|x 4| + | Inequalities/Absolute Values/Modules |
71 | A car dealership carries only sedans and SUVs | Word Problems/Percent and Interest Problems |
72 | If a, b, and c are integers such that 0 < a < b < c < 10, is | Divisibility/Multiples/Factors |
73 | If x < p < q < y. Is |q - x| < |q - y|? | Inequalities/Absolute Values/Modules |
75 | A jar contains 8 red marbles and y white marbles. If Joan | Probability |
76 | If x and y are negative numbers, is x<y? | Inequalities |
77 | If m and n are positive integers, is m^n < n^m? | Exponents/Powers/Inequalities |
78 | At a particular store, candy bars are normally priced at $1. | Word Problems |
79 | Trains A and B left stations R and S simultaneously on two s | Distance/Rate Problems |
80 | How many factors does the integer X have? | Absolute Values/Modules/Algebra/Exponents/Powers |
81 | The sum of the integers in list S is the same as the sum of | Statistics and Sets Problems |
82 | What does |2b| equal? | Absolute Values/Modules/Algebra |
83 | A circle is drawn on a coordinate plane. If a line is drawn | Geometry |
84 | If w, x, y and z are integers such that w/x and y/z are | Number Properties |
85 | If x and y are non-zero integers and |x| + |y| = 32, what is | Absolute Values/Modules |
86 | The integers m and p are such that 2<m<p, and m is not a | Number Properties/Remainders/Divisibility/Multiples/Factors |
87 | If p is a positive odd integer, what is the remainder when p | Remainders |
88 | Sequence S consists of 24 nonzero integers. If each term in | Sequences |
89 | ax + by=10, ay + bx=12. which one is greater here, x or y ? | Inequalities |
90 | Shaina's five-distinct-digit locker code is 5A48B. What | Divisibility/Multiples/Factors |
91 | Is x > y ? (1) x^(1/2)>y (2) x^3>y | Exponents/Powers/Roots/Inequalities |
92 | In a certain sequence, each term, starting with the 3rd term | Sequences |
93 | |x|=|2y|, what is the value of x-2y? | Absolute Values/Modules/Inequalities |
94 | If 6xy = x2y + 9y, what is the value of xy? | Algebra |
95 | One kilogram of a certain coffee blend consists of x | Word Problems/Mixture Problems |
96 | If a, b, and c are positive integers such that 1/a + 1/b = 1 | Fractions/Ratios/Decimals/Inequalities |
99 | The Range of Set A is R. A number having equal value to R | Statistics and Sets Problems |
100 | If x, y, and z are integers, and x < y < z, is z y = y | Statistics and Sets Problems |
101 | In the table above is shown the percent reduction in the | Percent and Interest Problems/Word Problems |
102 | Is the perimeter of triangle ABC greater than 20? (1) | Geometry |
103 | What is the probability that rs=r? | Probability |
104 | If zy < xy < 0, is | x - z | + |x| = |z|? | Absolute Values/Modules/Inequalities |
105 | x and y are positive integers such that x=8y+12, what is the | Number Properties/Divisibility/Multiples/Factors |
106 | Ashok and Brian are both walking east along the same path | Distance/Rate Problems |
107 | If x, y and z are integers and xy + z is an odd integer, is | Number Properties |
108 | Is (7x)^1/2 an integer? | Roots/Number Properties |
109 | In a certain building, 1/5 of the offices have both a window | Overlapping Sets |