question_id
int64 2
5k
| category
stringclasses 12
values | difficulty
stringclasses 3
values | question
stringlengths 10
89
| correct_answer
stringclasses 370
values | option_a
stringclasses 545
values | option_b
stringclasses 544
values | option_c
stringclasses 546
values | option_d
stringclasses 550
values | explanation
stringclasses 12
values |
|---|---|---|---|---|---|---|---|---|---|
302 |
arithmetic
|
hard
|
Calculate (5^3 × 4) ÷ 8
|
62
|
57
|
65
|
70
|
62
|
Standard arithmetic calculation
|
1,488 |
statistics
|
medium
|
What is the mode of 6 6 6 7 19 10 10?
|
6
|
9
|
7
|
4
|
6
|
Statistical measure calculation
|
2,367 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
2x cos(x²)
|
2x sin(x²)
|
cos(x²)
|
Calculus differentiation and integration
|
3,334 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4.5
|
3
|
3.5
|
4
|
Probability calculation and expected value
|
239 |
arithmetic
|
medium
|
What is 15²?
|
225
|
240
|
225
|
215
|
233
|
Standard arithmetic calculation
|
1,790 |
fractions
|
easy
|
Simplify 10/18
|
5/9
|
5/9
|
9/17
|
11/19
|
5/9
|
Fraction arithmetic and simplification
|
3,017 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/2
|
1/3
|
2/3
|
1/4
|
Probability calculation and expected value
|
2,509 |
trigonometry
|
easy
|
Calculate tan(0°)
|
0
|
1
|
undefined
|
-1
|
0
|
Trigonometric functions and identities
|
1,600 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.24
|
2.94
|
2.54
|
1.74
|
Statistical measure calculation
|
864 |
geometry
|
easy
|
How many sides does a hexagon have?
|
6
|
7
|
8
|
5
|
6
|
Geometric calculation and spatial reasoning
|
1,670 |
fractions
|
easy
|
What is 1/4 + 1/3?
|
7/12
|
7/13
|
7/12
|
6/12
|
8/12
|
Fraction arithmetic and simplification
|
1,828 |
fractions
|
medium
|
Divide 5/6 ÷ 5/7
|
7/6
|
7/6
|
7/7
|
8/6
|
6/7
|
Fraction arithmetic and simplification
|
3,243 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4.5
|
3
|
3.5
|
4
|
Probability calculation and expected value
|
118 |
arithmetic
|
easy
|
Find 6 × 12
|
72
|
72
|
69
|
74
|
77
|
Standard arithmetic calculation
|
375 |
arithmetic
|
hard
|
Calculate (6^3 × 4) ÷ 5
|
172
|
175
|
180
|
167
|
172
|
Standard arithmetic calculation
|
986 |
geometry
|
medium
|
What is the volume of a cube with side length 4?
|
64
|
64
|
79
|
99
|
44
|
Geometric calculation and spatial reasoning
|
861 |
geometry
|
easy
|
What is the area of a rectangle with length 8 and width 3?
|
24
|
19
|
27
|
24
|
32
|
Geometric calculation and spatial reasoning
|
146 |
arithmetic
|
medium
|
What is 13²?
|
169
|
159
|
169
|
184
|
177
|
Standard arithmetic calculation
|
1,884 |
fractions
|
medium
|
Calculate 5/3 × 1
|
5/3
|
5/3
|
5/4
|
3/5
|
6/3
|
Fraction arithmetic and simplification
|
3,368 |
number_theory
|
easy
|
What is the GCD of 15 and 25?
|
5
|
4
|
5
|
3
|
6
|
Number theory and modular arithmetic
|
613 |
algebra
|
medium
|
Solve: 2x - 6 = 25
|
15
|
15
|
16
|
18
|
13
|
Algebraic manipulation and solving
|
3,584 |
number_theory
|
medium
|
Find LCM of 15 and 20
|
60
|
65
|
60
|
50
|
75
|
Number theory and modular arithmetic
|
408 |
arithmetic
|
hard
|
Calculate (3^4 × 4) ÷ 7
|
46
|
54
|
46
|
49
|
41
|
Standard arithmetic calculation
|
2,488 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x sin(x²)
|
cos(2x)
|
cos(x²)
|
2x cos(x²)
|
Calculus differentiation and integration
|
3,106 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/15
|
1/12
|
1/14
|
1/13
|
Probability calculation and expected value
|
3,827 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
mammal
|
pet
|
animal
|
cat
|
Logical reasoning and boolean operations
|
2,635 |
trigonometry
|
easy
|
Calculate tan(0°)
|
0
|
-1
|
0
|
1
|
undefined
|
Trigonometric functions and identities
|
2,581 |
trigonometry
|
easy
|
Find cos(0°)
|
1
|
1
|
0
|
1/2
|
-1
|
Trigonometric functions and identities
|
4,426 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
10
|
8
|
9
|
11
|
Vector operations and matrix calculations
|
1,005 |
geometry
|
medium
|
Find the area of a circle with radius 7 (use π ≈ 3.14)
|
153.94
|
153.94
|
157.14
|
151.44
|
155.74
|
Geometric calculation and spatial reasoning
|
2,446 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x cos(x²)
|
cos(2x)
|
cos(x²)
|
2x sin(x²)
|
Calculus differentiation and integration
|
4,844 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
125
|
60
|
50
|
75
|
Permutations and combinations
|
169 |
arithmetic
|
medium
|
What is 12²?
|
144
|
144
|
159
|
134
|
152
|
Standard arithmetic calculation
|
2,336 |
calculus
|
medium
|
What is d/dx(3x^4 - 8x + 1)?
|
12x^3 - 8
|
12x^3 - 8
|
12x^3 - 1
|
12x^4 - 8
|
3x^3 - 8
|
Calculus differentiation and integration
|
1,054 |
geometry
|
medium
|
What is the volume of a cube with side length 5?
|
125
|
160
|
105
|
140
|
125
|
Geometric calculation and spatial reasoning
|
738 |
algebra
|
hard
|
Solve: x² + -10x + 16 = 0
|
x = 8 or x = 2
|
x = 7 or x = 3
|
x = 8 or x = 2
|
x = -8 or x = -2
|
x = 9 or x = 1
|
Algebraic manipulation and solving
|
1,735 |
fractions
|
easy
|
Simplify 15/25
|
3/5
|
16/26
|
7/12
|
14/24
|
3/5
|
Fraction arithmetic and simplification
|
4,497 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
4
|
3
|
5
|
Vector operations and matrix calculations
|
1,359 |
statistics
|
easy
|
Find the median of 18 2 2 7
|
4.5
|
4.5
|
5.5
|
2.5
|
6.5
|
Statistical measure calculation
|
1,444 |
statistics
|
medium
|
What is the mode of 2 19 9 9 8 9 18?
|
9
|
7
|
12
|
9
|
10
|
Statistical measure calculation
|
4,826 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
60
|
125
|
50
|
75
|
Permutations and combinations
|
4,746 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
50
|
75
|
60
|
125
|
Permutations and combinations
|
3,961 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
Depends on values
|
Cannot determine
|
False
|
True
|
Logical reasoning and boolean operations
|
2,917 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
1,339 |
statistics
|
easy
|
What is the mean of 3 10 2 20?
|
8.8
|
9.8
|
8.8
|
10.8
|
6.800000000000001
|
Statistical measure calculation
|
2,054 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
1/2
|
2/2
|
1/3
|
Fraction arithmetic and simplification
|
4,348 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
8
|
10
|
9
|
11
|
Vector operations and matrix calculations
|
4,504 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
5
|
4
|
6
|
Vector operations and matrix calculations
|
1,391 |
statistics
|
medium
|
Calculate the range of 16 19 6 3 14 18
|
16
|
19
|
17
|
14
|
16
|
Statistical measure calculation
|
297 |
arithmetic
|
hard
|
Calculate (3^4 × 2) ÷ 6
|
27
|
30
|
27
|
22
|
35
|
Standard arithmetic calculation
|
3,297 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
4.5
|
4
|
3
|
Probability calculation and expected value
|
2,003 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/3
|
1/2
|
2/2
|
0/2
|
Fraction arithmetic and simplification
|
3,992 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
P is false
|
Cannot determine
|
Q is true
|
Q is false
|
Logical reasoning and boolean operations
|
2,886 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
508 |
algebra
|
easy
|
What is 5x when x = 6?
|
30
|
32
|
30
|
35
|
27
|
Algebraic manipulation and solving
|
2,846 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
3,528 |
number_theory
|
medium
|
How many factors does 30 have?
|
8
|
8
|
6
|
9
|
7
|
Number theory and modular arithmetic
|
2,459 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
2x sin(x²)
|
2x cos(x²)
|
cos(x²)
|
Calculus differentiation and integration
|
2,471 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
2x cos(x²)
|
2x sin(x²)
|
cos(x²)
|
Calculus differentiation and integration
|
952 |
geometry
|
easy
|
How many sides does a octagon have?
|
8
|
10
|
7
|
8
|
9
|
Geometric calculation and spatial reasoning
|
3,725 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
3
|
2
|
4
|
Number theory and modular arithmetic
|
4,979 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
120
|
24
|
60
|
48
|
Permutations and combinations
|
3,288 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
3.5
|
4
|
4.5
|
Probability calculation and expected value
|
3,507 |
number_theory
|
medium
|
How many factors does 24 have?
|
8
|
6
|
8
|
9
|
7
|
Number theory and modular arithmetic
|
2,344 |
calculus
|
medium
|
What is d/dx(2x^4 - 6x + 1)?
|
8x^3 - 6
|
2x^3 - 6
|
8x^4 - 6
|
8x^3 - 6
|
8x^3 - 1
|
Calculus differentiation and integration
|
4,302 |
linear_algebra
|
easy
|
Calculate 3 × [2, 3]
|
[6, 9]
|
[6, 8]
|
[6, 9]
|
[7, 9]
|
[5, 9]
|
Vector operations and matrix calculations
|
2,466 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x cos(x²)
|
cos(2x)
|
cos(x²)
|
2x sin(x²)
|
Calculus differentiation and integration
|
3,451 |
number_theory
|
easy
|
Is 29 a prime number?
|
Yes
|
Cannot determine
|
Only if x>0
|
Yes
|
No
|
Number theory and modular arithmetic
|
2,881 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
1,142 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 5 and 12
|
13
|
13
|
11
|
12
|
14
|
Geometric calculation and spatial reasoning
|
4,500 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
5
|
6
|
4
|
Vector operations and matrix calculations
|
3,661 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
3
|
2
|
4
|
Number theory and modular arithmetic
|
4,759 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
60
|
50
|
125
|
75
|
Permutations and combinations
|
4,244 |
linear_algebra
|
easy
|
Calculate 5 × [2, 3]
|
[10, 15]
|
[11, 15]
|
[10, 15]
|
[9, 15]
|
[10, 14]
|
Vector operations and matrix calculations
|
420 |
algebra
|
easy
|
What is 8x when x = 6?
|
48
|
48
|
53
|
45
|
50
|
Algebraic manipulation and solving
|
28 |
arithmetic
|
easy
|
Calculate 66 - 38
|
28
|
30
|
29
|
27
|
28
|
Standard arithmetic calculation
|
1,141 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 5 and 12
|
13
|
14
|
11
|
13
|
12
|
Geometric calculation and spatial reasoning
|
593 |
algebra
|
medium
|
Solve: 4x - 5 = 10
|
3
|
3
|
6
|
4
|
1
|
Algebraic manipulation and solving
|
2,860 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
2,187 |
calculus
|
easy
|
Find d/dx(x^5)
|
5x^4
|
5x^5
|
x^5
|
5x^4
|
x^4
|
Calculus differentiation and integration
|
3,836 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
pet
|
cat
|
animal
|
mammal
|
Logical reasoning and boolean operations
|
2,626 |
trigonometry
|
easy
|
What is sin(30°)?
|
0.5
|
0
|
0.5
|
1
|
-1
|
Trigonometric functions and identities
|
4,799 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
60
|
125
|
75
|
50
|
Permutations and combinations
|
113 |
arithmetic
|
easy
|
What is 79 + 25?
|
104
|
104
|
105
|
102
|
107
|
Standard arithmetic calculation
|
4,079 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
True
|
False
|
Cannot determine
|
Depends on other variables
|
Logical reasoning and boolean operations
|
3,360 |
number_theory
|
easy
|
What is the GCD of 15 and 25?
|
5
|
6
|
3
|
4
|
5
|
Number theory and modular arithmetic
|
1,357 |
statistics
|
easy
|
What is the mean of 17 20 6 19 7?
|
13.8
|
13.8
|
15.8
|
14.8
|
11.8
|
Statistical measure calculation
|
682 |
algebra
|
medium
|
Solve: 5x - 11 = 15
|
5
|
8
|
3
|
6
|
5
|
Algebraic manipulation and solving
|
2,189 |
calculus
|
easy
|
What is the derivative of x²?
|
2x
|
x
|
2x
|
x²
|
2x²
|
Calculus differentiation and integration
|
2,378 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
cos(x²)
|
2x sin(x²)
|
2x cos(x²)
|
Calculus differentiation and integration
|
2,852 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
4,444 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
10
|
9
|
8
|
11
|
Vector operations and matrix calculations
|
4,944 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
60
|
48
|
120
|
24
|
Permutations and combinations
|
1,612 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.24
|
2.54
|
1.74
|
2.94
|
Statistical measure calculation
|
13 |
arithmetic
|
easy
|
Calculate 39 - 37
|
2
|
4
|
3
|
1
|
2
|
Standard arithmetic calculation
|
2,330 |
calculus
|
medium
|
What is d/dx(5x^2 - 6x + 1)?
|
10x^1 - 6
|
10x^1 - 1
|
5x^1 - 6
|
10x^2 - 6
|
10x^1 - 6
|
Calculus differentiation and integration
|
1,911 |
fractions
|
medium
|
Divide 2/7 ÷ 4/7
|
1/2
|
2/1
|
2/2
|
1/2
|
1/3
|
Fraction arithmetic and simplification
|
4,882 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
60
|
48
|
24
|
120
|
Permutations and combinations
|
3,267 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
3
|
4
|
4.5
|
Probability calculation and expected value
|
3,015 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
2/3
|
1/4
|
1/2
|
1/3
|
Probability calculation and expected value
|
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