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 |
|---|---|---|---|---|---|---|---|---|---|
3,544 |
number_theory
|
medium
|
How many factors does 30 have?
|
8
|
9
|
8
|
7
|
6
|
Number theory and modular arithmetic
|
504 |
algebra
|
easy
|
What is 2x when x = 5?
|
10
|
12
|
10
|
15
|
7
|
Algebraic manipulation and solving
|
1,685 |
fractions
|
easy
|
What is 1/3 + 1/4?
|
7/12
|
7/13
|
7/12
|
8/12
|
6/12
|
Fraction arithmetic and simplification
|
754 |
algebra
|
hard
|
Solve: x² + -5x + 6 = 0
|
x = 3 or x = 2
|
x = 2 or x = 3
|
x = 3 or x = 2
|
x = -3 or x = -2
|
x = 4 or x = 1
|
Algebraic manipulation and solving
|
1,915 |
fractions
|
medium
|
Calculate 4/3 × 2/3
|
8/9
|
8/10
|
9/8
|
8/9
|
9/9
|
Fraction arithmetic and simplification
|
1,552 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.94
|
2.54
|
2.24
|
1.74
|
Statistical measure calculation
|
1,541 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.94
|
2.24
|
1.74
|
2.54
|
Statistical measure calculation
|
4,038 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Depends on other variables
|
True
|
False
|
Cannot determine
|
Logical reasoning and boolean operations
|
2,136 |
calculus
|
easy
|
Find d/dx(x^4)
|
4x^3
|
4x^3
|
x^4
|
4x^4
|
x^3
|
Calculus differentiation and integration
|
2,044 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
2/2
|
1/3
|
0/2
|
Fraction arithmetic and simplification
|
257 |
arithmetic
|
medium
|
What is 25% of 297?
|
74
|
69
|
84
|
79
|
74
|
Standard arithmetic calculation
|
974 |
geometry
|
medium
|
What is the volume of a cube with side length 9?
|
729
|
709
|
744
|
764
|
729
|
Geometric calculation and spatial reasoning
|
4,318 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
8
|
11
|
9
|
10
|
Vector operations and matrix calculations
|
1,896 |
fractions
|
medium
|
Calculate 1 × 5/7
|
5/7
|
5/8
|
5/7
|
7/5
|
6/7
|
Fraction arithmetic and simplification
|
4,257 |
linear_algebra
|
easy
|
Calculate 3 × [2, 3]
|
[6, 9]
|
[6, 8]
|
[5, 9]
|
[6, 9]
|
[7, 9]
|
Vector operations and matrix calculations
|
4,576 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
4
|
6
|
5
|
3
|
Vector operations and matrix calculations
|
868 |
geometry
|
easy
|
How many sides does a octagon have?
|
8
|
10
|
7
|
9
|
8
|
Geometric calculation and spatial reasoning
|
4,893 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
60
|
24
|
120
|
48
|
Permutations and combinations
|
1,007 |
geometry
|
medium
|
Find the area of a circle with radius 6 (use π ≈ 3.14)
|
113.1
|
114.9
|
113.1
|
116.3
|
110.6
|
Geometric calculation and spatial reasoning
|
3,704 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
2
|
4
|
3
|
1
|
Number theory and modular arithmetic
|
1,201 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 5 and 12
|
13
|
14
|
12
|
11
|
13
|
Geometric calculation and spatial reasoning
|
4,818 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
50
|
125
|
60
|
75
|
Permutations and combinations
|
4,231 |
linear_algebra
|
easy
|
Calculate 4 × [2, 3]
|
[8, 12]
|
[7, 12]
|
[8, 11]
|
[9, 12]
|
[8, 12]
|
Vector operations and matrix calculations
|
1,535 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.24
|
1.74
|
2.54
|
2.94
|
Statistical measure calculation
|
2,312 |
calculus
|
medium
|
What is d/dx(5x^2 - 5x + 1)?
|
10x^1 - 5
|
5x^1 - 5
|
10x^2 - 5
|
10x^1 - 1
|
10x^1 - 5
|
Calculus differentiation and integration
|
1,631 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
1.74
|
2.24
|
2.54
|
2.94
|
Statistical measure calculation
|
3,292 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4.5
|
3.5
|
3
|
4
|
Probability calculation and expected value
|
3,497 |
number_theory
|
medium
|
Find LCM of 12 and 16
|
48
|
38
|
53
|
48
|
63
|
Number theory and modular arithmetic
|
3,989 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
Cannot determine
|
False
|
True
|
Depends on values
|
Logical reasoning and boolean operations
|
2,232 |
calculus
|
medium
|
What is d/dx(2x^4 - 3x + 1)?
|
8x^3 - 3
|
8x^3 - 3
|
2x^3 - 3
|
8x^3 - 1
|
8x^4 - 3
|
Calculus differentiation and integration
|
4,927 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
48
|
120
|
60
|
24
|
Permutations and combinations
|
1,050 |
geometry
|
medium
|
Find the area of a circle with radius 8 (use π ≈ 3.14)
|
201.06
|
202.86
|
201.06
|
198.56
|
204.26
|
Geometric calculation and spatial reasoning
|
513 |
algebra
|
easy
|
What is 5x when x = 7?
|
35
|
35
|
37
|
32
|
40
|
Algebraic manipulation and solving
|
2,188 |
calculus
|
easy
|
What is the derivative of x²?
|
2x
|
2x
|
x²
|
2x²
|
x
|
Calculus differentiation and integration
|
4,757 |
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
|
4,412 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
9
|
8
|
10
|
11
|
Vector operations and matrix calculations
|
1,417 |
statistics
|
medium
|
Calculate the range of 11 13 14 3 11 2
|
12
|
12
|
13
|
15
|
10
|
Statistical measure calculation
|
3,264 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
4.5
|
4
|
3.5
|
Probability calculation and expected value
|
1,419 |
statistics
|
medium
|
Calculate the range of 18 9 18 6 8
|
12
|
10
|
15
|
12
|
13
|
Statistical measure calculation
|
4,973 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
60
|
120
|
48
|
24
|
Permutations and combinations
|
4,013 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is false
|
Cannot determine
|
P is false
|
Q is true
|
Logical reasoning and boolean operations
|
2,071 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
1/3
|
2/2
|
1/2
|
Fraction arithmetic and simplification
|
724 |
algebra
|
hard
|
Solve: x² + -6x + 8 = 0
|
x = 2 or x = 4
|
x = 1 or x = 5
|
x = 2 or x = 4
|
x = -2 or x = -4
|
x = 3 or x = 3
|
Algebraic manipulation and solving
|
4,580 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
4
|
6
|
3
|
Vector operations and matrix calculations
|
1,361 |
statistics
|
easy
|
What is the mean of 7 19 13 9 3?
|
10.2
|
11.2
|
12.2
|
10.2
|
8.2
|
Statistical measure calculation
|
1,859 |
fractions
|
medium
|
Calculate 2/3 × 5/8
|
5/12
|
5/13
|
12/5
|
5/12
|
6/12
|
Fraction arithmetic and simplification
|
874 |
geometry
|
easy
|
How many sides does a pentagon have?
|
5
|
4
|
7
|
5
|
6
|
Geometric calculation and spatial reasoning
|
1,196 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 7 and 24
|
25
|
24
|
25
|
26
|
23
|
Geometric calculation and spatial reasoning
|
1,761 |
fractions
|
easy
|
Simplify 16/36
|
4/9
|
8/18
|
4/9
|
15/35
|
17/37
|
Fraction arithmetic and simplification
|
4,002 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
False
|
Cannot determine
|
Depends on values
|
True
|
Logical reasoning and boolean operations
|
423 |
algebra
|
easy
|
What is 2x when x = 6?
|
12
|
14
|
9
|
12
|
17
|
Algebraic manipulation and solving
|
990 |
geometry
|
medium
|
Find the area of a circle with radius 7 (use π ≈ 3.14)
|
153.94
|
153.94
|
157.14
|
155.74
|
151.44
|
Geometric calculation and spatial reasoning
|
3,545 |
number_theory
|
medium
|
Find LCM of 15 and 20
|
60
|
50
|
75
|
65
|
60
|
Number theory and modular arithmetic
|
3,514 |
number_theory
|
medium
|
Find LCM of 12 and 16
|
48
|
63
|
53
|
48
|
38
|
Number theory and modular arithmetic
|
777 |
algebra
|
hard
|
Solve: x² + -9x + 18 = 0
|
x = 6 or x = 3
|
x = 5 or x = 4
|
x = 6 or x = 3
|
x = -6 or x = -3
|
x = 7 or x = 2
|
Algebraic manipulation and solving
|
3,960 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
Depends on values
|
True
|
Cannot determine
|
False
|
Logical reasoning and boolean operations
|
2,974 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
8
|
5
|
6
|
7
|
Probability calculation and expected value
|
929 |
geometry
|
easy
|
How many sides does a heptagon have?
|
7
|
6
|
7
|
8
|
9
|
Geometric calculation and spatial reasoning
|
182 |
arithmetic
|
medium
|
What is 20% of 219?
|
43
|
48
|
53
|
43
|
38
|
Standard arithmetic calculation
|
4,571 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
5
|
4
|
6
|
Vector operations and matrix calculations
|
272 |
arithmetic
|
medium
|
What is 30% of 108?
|
32
|
37
|
42
|
27
|
32
|
Standard arithmetic calculation
|
4,758 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
75
|
125
|
60
|
50
|
Permutations and combinations
|
1,085 |
geometry
|
medium
|
Find the area of a circle with radius 6 (use π ≈ 3.14)
|
113.1
|
113.1
|
110.6
|
116.3
|
114.9
|
Geometric calculation and spatial reasoning
|
2,167 |
calculus
|
easy
|
Find d/dx(x^5)
|
5x^4
|
x^5
|
5x^4
|
5x^5
|
x^4
|
Calculus differentiation and integration
|
1,763 |
fractions
|
easy
|
What is 1/4 + 1/4?
|
1/2
|
0/2
|
1/2
|
2/2
|
1/3
|
Fraction arithmetic and simplification
|
1,968 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/2
|
1/3
|
0/2
|
Fraction arithmetic and simplification
|
2,219 |
calculus
|
easy
|
Find d/dx(x^4)
|
4x^3
|
4x^4
|
x^3
|
4x^3
|
x^4
|
Calculus differentiation and integration
|
4,212 |
linear_algebra
|
easy
|
Calculate 5 × [2, 3]
|
[10, 15]
|
[10, 14]
|
[10, 15]
|
[9, 15]
|
[11, 15]
|
Vector operations and matrix calculations
|
2,898 |
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
|
3,127 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/13
|
1/15
|
1/12
|
1/14
|
Probability calculation and expected value
|
1,236 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
15
|
16
|
14
|
13
|
Geometric calculation and spatial reasoning
|
3,061 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/35
|
1/32
|
1/30
|
1/36
|
Probability calculation and expected value
|
854 |
geometry
|
easy
|
How many sides does a heptagon have?
|
7
|
9
|
7
|
8
|
6
|
Geometric calculation and spatial reasoning
|
4,559 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
4
|
3
|
5
|
6
|
Vector operations and matrix calculations
|
2,258 |
calculus
|
medium
|
What is d/dx(2x^4 - 7x + 1)?
|
8x^3 - 7
|
8x^3 - 1
|
8x^3 - 7
|
8x^4 - 7
|
2x^3 - 7
|
Calculus differentiation and integration
|
4,651 |
combinatorics
|
easy
|
How many ways can 5 people stand in a line?
|
120
|
24
|
120
|
10
|
25
|
Permutations and combinations
|
3,023 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
5
|
6
|
7
|
8
|
Probability calculation and expected value
|
984 |
geometry
|
medium
|
What is the volume of a cube with side length 5?
|
125
|
160
|
140
|
125
|
105
|
Geometric calculation and spatial reasoning
|
3,707 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
2
|
1
|
3
|
4
|
Number theory and modular arithmetic
|
3,482 |
number_theory
|
medium
|
Find LCM of 9 and 15
|
45
|
35
|
45
|
50
|
60
|
Number theory and modular arithmetic
|
2,413 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
cos(x²)
|
2x cos(x²)
|
2x sin(x²)
|
Calculus differentiation and integration
|
2,806 |
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
|
2,353 |
calculus
|
medium
|
What is d/dx(4x^3 - 3x + 1)?
|
12x^2 - 3
|
12x^2 - 1
|
4x^2 - 3
|
12x^2 - 3
|
12x^3 - 3
|
Calculus differentiation and integration
|
4,766 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
75
|
125
|
60
|
50
|
Permutations and combinations
|
972 |
geometry
|
easy
|
How many sides does a hexagon have?
|
6
|
8
|
5
|
7
|
6
|
Geometric calculation and spatial reasoning
|
4,817 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
50
|
60
|
125
|
75
|
Permutations and combinations
|
4,830 |
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
|
228 |
arithmetic
|
medium
|
Calculate 152 ÷ 8
|
19
|
17
|
20
|
22
|
19
|
Standard arithmetic calculation
|
407 |
arithmetic
|
hard
|
Calculate (3^3 × 4) ÷ 5
|
21
|
16
|
29
|
21
|
24
|
Standard arithmetic calculation
|
873 |
geometry
|
easy
|
How many sides does a heptagon have?
|
7
|
8
|
6
|
7
|
9
|
Geometric calculation and spatial reasoning
|
1,048 |
geometry
|
medium
|
Find the area of a circle with radius 5 (use π ≈ 3.14)
|
78.54
|
81.74
|
78.54
|
76.04
|
80.34
|
Geometric calculation and spatial reasoning
|
4,385 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
9
|
11
|
10
|
8
|
Vector operations and matrix calculations
|
4,366 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
9
|
8
|
11
|
10
|
Vector operations and matrix calculations
|
2,602 |
trigonometry
|
easy
|
What is sin(0°)?
|
0
|
0
|
-1
|
1
|
0
|
Trigonometric functions and identities
|
446 |
algebra
|
easy
|
What is 2x when x = 9?
|
18
|
23
|
18
|
15
|
20
|
Algebraic manipulation and solving
|
4,181 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 6]
|
[4, 7]
|
[3, 7]
|
[2, 7]
|
Vector operations and matrix calculations
|
4,056 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Depends on other variables
|
False
|
Cannot determine
|
True
|
Logical reasoning and boolean operations
|
2,542 |
trigonometry
|
easy
|
Find cos(90°)
|
0
|
1
|
-1
|
0
|
0
|
Trigonometric functions and identities
|
510 |
algebra
|
easy
|
Solve for x: x + 14 = 19
|
5
|
6
|
3
|
5
|
8
|
Algebraic manipulation and solving
|
3,121 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/12
|
1/13
|
1/15
|
1/14
|
Probability calculation and expected value
|
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