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 |
|---|---|---|---|---|---|---|---|---|---|
1,744 |
fractions
|
easy
|
Simplify 24/20
|
6/5
|
12/10
|
6/5
|
25/21
|
23/19
|
Fraction arithmetic and simplification
|
1,791 |
fractions
|
easy
|
Simplify 25/40
|
5/8
|
24/39
|
26/41
|
5/8
|
12/20
|
Fraction arithmetic and simplification
|
4,271 |
linear_algebra
|
easy
|
Calculate 2 × [2, 3]
|
[4, 6]
|
[5, 6]
|
[4, 6]
|
[4, 5]
|
[3, 6]
|
Vector operations and matrix calculations
|
356 |
arithmetic
|
hard
|
Calculate (5^3 × 3) ÷ 3
|
125
|
128
|
133
|
125
|
120
|
Standard arithmetic calculation
|
2,857 |
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
|
2,835 |
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
|
2,934 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/3
|
1/2
|
2/3
|
1/4
|
Probability calculation and expected value
|
3,953 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
False
|
True
|
Cannot determine
|
Depends on values
|
Logical reasoning and boolean operations
|
1,772 |
fractions
|
easy
|
Simplify 24/24
|
1/1
|
1/1
|
23/23
|
25/25
|
12/12
|
Fraction arithmetic and simplification
|
1,245 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
16
|
15
|
13
|
14
|
Geometric calculation and spatial reasoning
|
3,541 |
number_theory
|
medium
|
How many factors does 24 have?
|
8
|
7
|
8
|
9
|
6
|
Number theory and modular arithmetic
|
1,538 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
1.74
|
2.94
|
2.24
|
2.54
|
Statistical measure calculation
|
4,697 |
combinatorics
|
easy
|
How many ways can 5 people stand in a line?
|
120
|
10
|
120
|
24
|
25
|
Permutations and combinations
|
3,693 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
2
|
3
|
4
|
Number theory and modular arithmetic
|
4,925 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
48
|
24
|
60
|
120
|
Permutations and combinations
|
2,777 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
1
|
√3
|
√2
|
0
|
Trigonometric functions and identities
|
3,728 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
4
|
2
|
3
|
1
|
Number theory and modular arithmetic
|
1,103 |
geometry
|
medium
|
What is the volume of a cube with side length 8?
|
512
|
527
|
492
|
512
|
547
|
Geometric calculation and spatial reasoning
|
4,343 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
9
|
8
|
11
|
10
|
Vector operations and matrix calculations
|
2,993 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/4
|
2/3
|
1/2
|
1/3
|
Probability calculation and expected value
|
26 |
arithmetic
|
easy
|
What is 23 + 12?
|
35
|
35
|
38
|
33
|
36
|
Standard arithmetic calculation
|
365 |
arithmetic
|
hard
|
Calculate (3^4 × 2) ÷ 5
|
32
|
32
|
27
|
35
|
40
|
Standard arithmetic calculation
|
2,190 |
calculus
|
easy
|
Find d/dx(x^4)
|
4x^3
|
x^3
|
4x^4
|
4x^3
|
x^4
|
Calculus differentiation and integration
|
774 |
algebra
|
hard
|
Solve: x² + -11x + 28 = 0
|
x = 7 or x = 4
|
x = 6 or x = 5
|
x = 7 or x = 4
|
x = -7 or x = -4
|
x = 8 or x = 3
|
Algebraic manipulation and solving
|
1,939 |
fractions
|
medium
|
Calculate 4/5 × 5/4
|
1/1
|
1/2
|
1/1
|
2/1
|
1/1
|
Fraction arithmetic and simplification
|
3,864 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
Depends on context
|
True
|
Cannot determine
|
False
|
Logical reasoning and boolean operations
|
1,160 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
5
|
6
|
3
|
4
|
Geometric calculation and spatial reasoning
|
271 |
arithmetic
|
medium
|
What is 15% of 234?
|
35
|
30
|
45
|
35
|
40
|
Standard arithmetic calculation
|
355 |
arithmetic
|
hard
|
Calculate (5^3 × 2) ÷ 6
|
41
|
36
|
44
|
49
|
41
|
Standard arithmetic calculation
|
3,914 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
Depends on values
|
True
|
Cannot determine
|
False
|
Logical reasoning and boolean operations
|
4,523 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
5
|
4
|
3
|
Vector operations and matrix calculations
|
1,799 |
fractions
|
easy
|
What is 1/4 + 1/3?
|
7/12
|
8/12
|
6/12
|
7/13
|
7/12
|
Fraction arithmetic and simplification
|
4,585 |
combinatorics
|
easy
|
How many ways can 5 people stand in a line?
|
120
|
25
|
10
|
24
|
120
|
Permutations and combinations
|
2,965 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
6
|
7
|
8
|
5
|
Probability calculation and expected value
|
1,729 |
fractions
|
easy
|
Simplify 18/36
|
1/2
|
17/35
|
9/18
|
19/37
|
1/2
|
Fraction arithmetic and simplification
|
2,885 |
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
|
2,283 |
calculus
|
medium
|
What is d/dx(4x^2 - 3x + 1)?
|
8x^1 - 3
|
4x^1 - 3
|
8x^2 - 3
|
8x^1 - 1
|
8x^1 - 3
|
Calculus differentiation and integration
|
4,350 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
9
|
8
|
11
|
10
|
Vector operations and matrix calculations
|
3,111 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/12
|
1/15
|
1/14
|
1/13
|
Probability calculation and expected value
|
2,045 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
2/2
|
1/2
|
1/3
|
Fraction arithmetic and simplification
|
4,851 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
50
|
75
|
125
|
60
|
Permutations and combinations
|
3,275 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
4.5
|
4
|
3.5
|
Probability calculation and expected value
|
797 |
algebra
|
hard
|
Solve: x² + -8x + 15 = 0
|
x = 3 or x = 5
|
x = 2 or x = 6
|
x = 3 or x = 5
|
x = -3 or x = -5
|
x = 4 or x = 4
|
Algebraic manipulation and solving
|
3,188 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/36
|
1/30
|
1/35
|
1/32
|
Probability calculation and expected value
|
4,634 |
combinatorics
|
easy
|
How many ways can 4 people stand in a line?
|
24
|
8
|
16
|
6
|
24
|
Permutations and combinations
|
849 |
geometry
|
easy
|
What is the area of a rectangle with length 5 and width 9?
|
45
|
48
|
45
|
40
|
53
|
Geometric calculation and spatial reasoning
|
3,025 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/4
|
2/3
|
1/2
|
1/3
|
Probability calculation and expected value
|
3,139 |
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
|
3,286 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
3
|
4.5
|
4
|
Probability calculation and expected value
|
1,169 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
6
|
4
|
3
|
5
|
Geometric calculation and spatial reasoning
|
729 |
algebra
|
hard
|
Solve: x² + -13x + 42 = 0
|
x = 6 or x = 7
|
x = 5 or x = 8
|
x = 6 or x = 7
|
x = -6 or x = -7
|
x = 7 or x = 6
|
Algebraic manipulation and solving
|
2,250 |
calculus
|
medium
|
What is d/dx(2x^4 - 3x + 1)?
|
8x^3 - 3
|
8x^3 - 1
|
2x^3 - 3
|
8x^4 - 3
|
8x^3 - 3
|
Calculus differentiation and integration
|
795 |
algebra
|
hard
|
Solve: x² + -10x + 24 = 0
|
x = 4 or x = 6
|
x = 3 or x = 7
|
x = 4 or x = 6
|
x = -4 or x = -6
|
x = 5 or x = 5
|
Algebraic manipulation and solving
|
3,153 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/36
|
1/30
|
1/35
|
1/32
|
Probability calculation and expected value
|
2,484 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x sin(x²)
|
cos(x²)
|
2x cos(x²)
|
cos(2x)
|
Calculus differentiation and integration
|
1,947 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
1/3
|
2/2
|
1/2
|
Fraction arithmetic and simplification
|
1,730 |
fractions
|
easy
|
What is 1/2 + 1/3?
|
5/6
|
6/6
|
4/6
|
5/6
|
5/7
|
Fraction arithmetic and simplification
|
2,039 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
2/2
|
1/3
|
0/2
|
Fraction arithmetic and simplification
|
3,875 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
animal
|
cat
|
mammal
|
pet
|
Logical reasoning and boolean operations
|
3,814 |
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
|
1,733 |
fractions
|
easy
|
Simplify 10/35
|
2/7
|
5/17
|
2/7
|
11/36
|
9/34
|
Fraction arithmetic and simplification
|
4,514 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
3
|
4
|
5
|
Vector operations and matrix calculations
|
3,060 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/36
|
1/32
|
1/30
|
1/35
|
Probability calculation and expected value
|
3,370 |
number_theory
|
easy
|
Is 13 a prime number?
|
Yes
|
Cannot determine
|
Only if x>0
|
Yes
|
No
|
Number theory and modular arithmetic
|
2,941 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
2/3
|
1/2
|
1/4
|
1/3
|
Probability calculation and expected value
|
2,337 |
calculus
|
medium
|
What is d/dx(2x^3 - 5x + 1)?
|
6x^2 - 5
|
2x^2 - 5
|
6x^3 - 5
|
6x^2 - 5
|
6x^2 - 1
|
Calculus differentiation and integration
|
3,873 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
Cannot determine
|
False
|
Depends on context
|
True
|
Logical reasoning and boolean operations
|
3,672 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
3
|
4
|
1
|
2
|
Number theory and modular arithmetic
|
385 |
arithmetic
|
hard
|
Calculate (6^3 × 2) ÷ 7
|
61
|
64
|
61
|
56
|
69
|
Standard arithmetic calculation
|
4,392 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
11
|
10
|
9
|
8
|
Vector operations and matrix calculations
|
2,537 |
trigonometry
|
easy
|
Calculate tan(0°)
|
0
|
0
|
undefined
|
1
|
-1
|
Trigonometric functions and identities
|
2,343 |
calculus
|
medium
|
What is d/dx(2x^3 - 7x + 1)?
|
6x^2 - 7
|
2x^2 - 7
|
6x^2 - 7
|
6x^2 - 1
|
6x^3 - 7
|
Calculus differentiation and integration
|
2,794 |
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
|
4,764 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
125
|
50
|
60
|
75
|
Permutations and combinations
|
812 |
algebra
|
hard
|
Solve: x² + -6x + 8 = 0
|
x = 4 or x = 2
|
x = 3 or x = 3
|
x = 4 or x = 2
|
x = -4 or x = -2
|
x = 5 or x = 1
|
Algebraic manipulation and solving
|
2,040 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
2/2
|
1/2
|
1/3
|
Fraction arithmetic and simplification
|
3,719 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
3
|
4
|
2
|
1
|
Number theory and modular arithmetic
|
3,270 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
4
|
4.5
|
3
|
Probability calculation and expected value
|
381 |
arithmetic
|
hard
|
Calculate (4^3 × 3) ÷ 9
|
21
|
24
|
29
|
16
|
21
|
Standard arithmetic calculation
|
2,991 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
5
|
7
|
8
|
6
|
Probability calculation and expected value
|
1,218 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 7 and 24
|
25
|
26
|
23
|
25
|
24
|
Geometric calculation and spatial reasoning
|
4,482 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
4
|
6
|
3
|
Vector operations and matrix calculations
|
3,685 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
2
|
3
|
4
|
Number theory and modular arithmetic
|
4,993 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
24
|
48
|
60
|
120
|
Permutations and combinations
|
152 |
arithmetic
|
medium
|
What is 40% of 193?
|
77
|
87
|
77
|
72
|
82
|
Standard arithmetic calculation
|
3,481 |
number_theory
|
medium
|
How many factors does 24 have?
|
8
|
6
|
7
|
9
|
8
|
Number theory and modular arithmetic
|
235 |
arithmetic
|
medium
|
Calculate 180 ÷ 10
|
18
|
21
|
19
|
16
|
18
|
Standard arithmetic calculation
|
3,786 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
True
|
False
|
Depends on context
|
Cannot determine
|
Logical reasoning and boolean operations
|
887 |
geometry
|
easy
|
What is the area of a rectangle with length 6 and width 4?
|
24
|
24
|
19
|
32
|
27
|
Geometric calculation and spatial reasoning
|
179 |
arithmetic
|
medium
|
What is 13²?
|
169
|
184
|
177
|
169
|
159
|
Standard arithmetic calculation
|
2,048 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/2
|
0/2
|
1/3
|
Fraction arithmetic and simplification
|
1,833 |
fractions
|
medium
|
Divide 3/4 ÷ 1/2
|
3/2
|
3/2
|
4/2
|
2/3
|
3/3
|
Fraction arithmetic and simplification
|
2,416 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x cos(x²)
|
cos(2x)
|
2x sin(x²)
|
cos(x²)
|
Calculus differentiation and integration
|
903 |
geometry
|
easy
|
How many sides does a octagon have?
|
8
|
10
|
9
|
8
|
7
|
Geometric calculation and spatial reasoning
|
2,386 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x cos(x²)
|
cos(2x)
|
2x sin(x²)
|
cos(x²)
|
Calculus differentiation and integration
|
3,982 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is false
|
P is false
|
Q is true
|
Cannot determine
|
Logical reasoning and boolean operations
|
4,974 |
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
|
3,818 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
False
|
True
|
Cannot determine
|
Depends on context
|
Logical reasoning and boolean operations
|
4,334 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
8
|
10
|
11
|
9
|
Vector operations and matrix calculations
|
2,552 |
trigonometry
|
easy
|
Calculate tan(0°)
|
0
|
1
|
0
|
-1
|
undefined
|
Trigonometric functions and identities
|
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