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 |
|---|---|---|---|---|---|---|---|---|---|
2,236 |
calculus
|
medium
|
What is d/dx(4x^2 - 5x + 1)?
|
8x^1 - 5
|
8x^2 - 5
|
8x^1 - 1
|
4x^1 - 5
|
8x^1 - 5
|
Calculus differentiation and integration
|
4,467 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
5
|
4
|
3
|
Vector operations and matrix calculations
|
2,628 |
trigonometry
|
easy
|
What is sin(45°)?
|
0.71
|
1
|
-1
|
0
|
0.71
|
Trigonometric functions and identities
|
1,210 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 8 and 15
|
17
|
17
|
15
|
18
|
16
|
Geometric calculation and spatial reasoning
|
619 |
algebra
|
medium
|
Find x: x² = 49
|
7
|
5
|
8
|
10
|
7
|
Algebraic manipulation and solving
|
3,384 |
number_theory
|
easy
|
Is 31 a prime number?
|
Yes
|
Cannot determine
|
No
|
Only if x>0
|
Yes
|
Number theory and modular arithmetic
|
1,001 |
geometry
|
medium
|
What is the volume of a cube with side length 5?
|
125
|
105
|
125
|
160
|
140
|
Geometric calculation and spatial reasoning
|
534 |
algebra
|
easy
|
Solve for x: x + 10 = 15
|
5
|
3
|
5
|
6
|
8
|
Algebraic manipulation and solving
|
949 |
geometry
|
easy
|
What is the area of a rectangle with length 6 and width 8?
|
48
|
51
|
48
|
43
|
56
|
Geometric calculation and spatial reasoning
|
3,898 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
P is false
|
Q is false
|
Q is true
|
Cannot determine
|
Logical reasoning and boolean operations
|
1,599 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.24
|
2.54
|
2.94
|
1.74
|
Statistical measure calculation
|
422 |
algebra
|
easy
|
What is 4x when x = 7?
|
28
|
33
|
25
|
30
|
28
|
Algebraic manipulation and solving
|
3,366 |
number_theory
|
easy
|
What is the GCD of 12 and 18?
|
6
|
5
|
4
|
6
|
7
|
Number theory and modular arithmetic
|
1,178 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
6
|
4
|
5
|
3
|
Geometric calculation and spatial reasoning
|
1,304 |
statistics
|
easy
|
Find the median of 20 11 15 8 14 10
|
12.5
|
10.5
|
12.5
|
13.5
|
14.5
|
Statistical measure calculation
|
3,800 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
cat
|
animal
|
mammal
|
pet
|
Logical reasoning and boolean operations
|
31 |
arithmetic
|
easy
|
Find 5 × 8
|
40
|
40
|
42
|
45
|
37
|
Standard arithmetic calculation
|
4,701 |
combinatorics
|
easy
|
How many ways can 6 people stand in a line?
|
720
|
120
|
720
|
36
|
12
|
Permutations and combinations
|
2,853 |
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
|
4,198 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 7]
|
[4, 7]
|
[2, 7]
|
[3, 6]
|
Vector operations and matrix calculations
|
2,061 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/3
|
0/2
|
1/2
|
Fraction arithmetic and simplification
|
2,714 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
0
|
√3
|
√2
|
1
|
Trigonometric functions and identities
|
825 |
algebra
|
hard
|
Solve: x² + -11x + 24 = 0
|
x = 3 or x = 8
|
x = 2 or x = 9
|
x = 3 or x = 8
|
x = -3 or x = -8
|
x = 4 or x = 7
|
Algebraic manipulation and solving
|
4,961 |
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
|
2,525 |
trigonometry
|
easy
|
What is sin(60°)?
|
0.87
|
1
|
0.87
|
0
|
-1
|
Trigonometric functions and identities
|
199 |
arithmetic
|
medium
|
Calculate 216 ÷ 12
|
18
|
21
|
16
|
18
|
19
|
Standard arithmetic calculation
|
1,965 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
2/2
|
1/3
|
1/2
|
Fraction arithmetic and simplification
|
2,473 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(x²)
|
cos(2x)
|
2x cos(x²)
|
2x sin(x²)
|
Calculus differentiation and integration
|
3,104 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/12
|
1/14
|
1/13
|
1/15
|
Probability calculation and expected value
|
1,740 |
fractions
|
easy
|
Simplify 24/42
|
4/7
|
25/43
|
12/21
|
4/7
|
23/41
|
Fraction arithmetic and simplification
|
1,113 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
13
|
16
|
14
|
15
|
Geometric calculation and spatial reasoning
|
1,892 |
fractions
|
medium
|
Calculate 1/2 × 6/5
|
3/5
|
3/5
|
5/3
|
4/5
|
3/6
|
Fraction arithmetic and simplification
|
881 |
geometry
|
easy
|
How many sides does a octagon have?
|
8
|
9
|
7
|
10
|
8
|
Geometric calculation and spatial reasoning
|
3,518 |
number_theory
|
medium
|
Find LCM of 9 and 15
|
45
|
60
|
45
|
50
|
35
|
Number theory and modular arithmetic
|
1,862 |
fractions
|
medium
|
Divide 1/3 ÷ 2/5
|
5/6
|
6/5
|
5/7
|
6/6
|
5/6
|
Fraction arithmetic and simplification
|
442 |
algebra
|
easy
|
What is 6x when x = 8?
|
48
|
50
|
45
|
48
|
53
|
Algebraic manipulation and solving
|
1,294 |
statistics
|
easy
|
Find the median of 5 4 9 4 17 3 9 8
|
6.5
|
8.5
|
4.5
|
6.5
|
7.5
|
Statistical measure calculation
|
4,153 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
True
|
Cannot determine
|
False
|
Depends on other variables
|
Logical reasoning and boolean operations
|
2,206 |
calculus
|
easy
|
Evaluate ∫x^3 dx
|
x^4/4 + C
|
x^5/5 + C
|
3x^2 + C
|
x^3 + C
|
x^4/4 + C
|
Calculus differentiation and integration
|
1,076 |
geometry
|
medium
|
What is the volume of a cube with side length 5?
|
125
|
140
|
160
|
125
|
105
|
Geometric calculation and spatial reasoning
|
1,560 |
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
|
697 |
algebra
|
hard
|
Solve: x² + -10x + 21 = 0
|
x = 7 or x = 3
|
x = 6 or x = 4
|
x = 7 or x = 3
|
x = -7 or x = -3
|
x = 8 or x = 2
|
Algebraic manipulation and solving
|
2,565 |
trigonometry
|
easy
|
What is sin(30°)?
|
0.5
|
-1
|
0
|
0.5
|
1
|
Trigonometric functions and identities
|
1,148 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
16
|
14
|
13
|
15
|
Geometric calculation and spatial reasoning
|
1,387 |
statistics
|
easy
|
Find the median of 4 16 10 11 16 15
|
13
|
14
|
11
|
13
|
15
|
Statistical measure calculation
|
4,964 |
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
|
2,909 |
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
|
3,944 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is true
|
Cannot determine
|
Q is false
|
P is false
|
Logical reasoning and boolean operations
|
2,094 |
calculus
|
easy
|
Find d/dx(x^3)
|
3x^2
|
x^2
|
3x^2
|
x^3
|
3x^3
|
Calculus differentiation and integration
|
2,078 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
2/2
|
1/2
|
1/3
|
Fraction arithmetic and simplification
|
4,808 |
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
|
2,482 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x sin(x²)
|
2x cos(x²)
|
cos(2x)
|
cos(x²)
|
Calculus differentiation and integration
|
378 |
arithmetic
|
hard
|
Calculate (4^3 × 4) ÷ 6
|
42
|
37
|
42
|
45
|
50
|
Standard arithmetic calculation
|
945 |
geometry
|
easy
|
How many sides does a hexagon have?
|
6
|
6
|
7
|
5
|
8
|
Geometric calculation and spatial reasoning
|
2,410 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x cos(x²)
|
2x sin(x²)
|
cos(x²)
|
cos(2x)
|
Calculus differentiation and integration
|
4,111 |
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
|
4,118 |
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
|
1,723 |
fractions
|
easy
|
Simplify 20/15
|
4/3
|
4/3
|
21/16
|
10/7
|
19/14
|
Fraction arithmetic and simplification
|
2,316 |
calculus
|
medium
|
What is d/dx(3x^2 - 4x + 1)?
|
6x^1 - 4
|
6x^1 - 1
|
3x^1 - 4
|
6x^1 - 4
|
6x^2 - 4
|
Calculus differentiation and integration
|
1,358 |
statistics
|
easy
|
What is the mean of 8 14 19 12 3 8 2 18?
|
10.5
|
10.5
|
12.5
|
11.5
|
8.5
|
Statistical measure calculation
|
406 |
arithmetic
|
hard
|
Calculate (4^3 × 3) ÷ 5
|
38
|
38
|
33
|
46
|
41
|
Standard arithmetic calculation
|
2,116 |
calculus
|
easy
|
Find d/dx(x^4)
|
4x^3
|
x^3
|
4x^4
|
4x^3
|
x^4
|
Calculus differentiation and integration
|
3,093 |
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
|
4,983 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
60
|
120
|
24
|
48
|
Permutations and combinations
|
2,152 |
calculus
|
easy
|
Evaluate ∫x^4 dx
|
x^5/5 + C
|
4x^3 + C
|
x^6/6 + C
|
x^4 + C
|
x^5/5 + C
|
Calculus differentiation and integration
|
1,829 |
fractions
|
medium
|
Calculate 4/3 × 3/5
|
4/5
|
5/5
|
4/6
|
4/5
|
5/4
|
Fraction arithmetic and simplification
|
4,452 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
5
|
6
|
4
|
Vector operations and matrix calculations
|
1,297 |
statistics
|
easy
|
Find the median of 5 15 11 17 19 15
|
15
|
15
|
16
|
17
|
13
|
Statistical measure calculation
|
4,929 |
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
|
769 |
algebra
|
hard
|
Solve: x² + -10x + 21 = 0
|
x = 7 or x = 3
|
x = 6 or x = 4
|
x = 7 or x = 3
|
x = -7 or x = -3
|
x = 8 or x = 2
|
Algebraic manipulation and solving
|
3,959 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is true
|
Cannot determine
|
Q is false
|
P is false
|
Logical reasoning and boolean operations
|
2,769 |
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
0
|
sin(2x)
|
1
|
2
|
Trigonometric functions and identities
|
1,809 |
fractions
|
medium
|
Calculate 1/3 × 6/7
|
2/7
|
7/2
|
2/7
|
2/8
|
3/7
|
Fraction arithmetic and simplification
|
1,224 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
16
|
13
|
14
|
15
|
Geometric calculation and spatial reasoning
|
3,551 |
number_theory
|
medium
|
How many factors does 30 have?
|
8
|
7
|
9
|
6
|
8
|
Number theory and modular arithmetic
|
2,137 |
calculus
|
easy
|
Find d/dx(x^5)
|
5x^4
|
x^4
|
5x^5
|
x^5
|
5x^4
|
Calculus differentiation and integration
|
1,418 |
statistics
|
medium
|
Calculate the range of 16 18 18 19 8 15 11
|
11
|
14
|
11
|
12
|
9
|
Statistical measure calculation
|
2,880 |
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
|
3,950 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
Cannot determine
|
Depends on values
|
False
|
True
|
Logical reasoning and boolean operations
|
1,529 |
statistics
|
medium
|
Calculate the range of 2 11 14 17 10 3
|
15
|
15
|
16
|
18
|
13
|
Statistical measure calculation
|
3,832 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
pet
|
cat
|
mammal
|
animal
|
Logical reasoning and boolean operations
|
1,840 |
fractions
|
medium
|
Divide 1 ÷ 2/5
|
5/2
|
6/2
|
5/2
|
2/5
|
5/3
|
Fraction arithmetic and simplification
|
2,074 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
0/2
|
1/3
|
2/2
|
Fraction arithmetic and simplification
|
2,486 |
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
|
1,277 |
statistics
|
easy
|
What is the mean of 7 11 18 3 17 15?
|
11.8
|
12.8
|
11.8
|
9.8
|
13.8
|
Statistical measure calculation
|
3,894 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is false
|
Q is true
|
Cannot determine
|
P is false
|
Logical reasoning and boolean operations
|
1,794 |
fractions
|
easy
|
What is 1/3 + 1/6?
|
1/2
|
1/3
|
2/2
|
1/2
|
0/2
|
Fraction arithmetic and simplification
|
3,576 |
number_theory
|
medium
|
How many factors does 24 have?
|
8
|
7
|
6
|
8
|
9
|
Number theory and modular arithmetic
|
546 |
algebra
|
easy
|
What is 2x when x = 6?
|
12
|
9
|
17
|
14
|
12
|
Algebraic manipulation and solving
|
1,334 |
statistics
|
easy
|
What is the mean of 3 19 2 2?
|
6.5
|
8.5
|
7.5
|
6.5
|
4.5
|
Statistical measure calculation
|
1,115 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
15
|
14
|
16
|
13
|
Geometric calculation and spatial reasoning
|
3 |
arithmetic
|
easy
|
Calculate 85 - 50
|
35
|
34
|
37
|
35
|
36
|
Standard arithmetic calculation
|
2,006 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
2/2
|
1/2
|
1/3
|
Fraction arithmetic and simplification
|
135 |
arithmetic
|
easy
|
Calculate 87 - 72
|
15
|
14
|
17
|
16
|
15
|
Standard arithmetic calculation
|
1,771 |
fractions
|
easy
|
Simplify 36/36
|
1/1
|
37/37
|
18/18
|
1/1
|
35/35
|
Fraction arithmetic and simplification
|
3,659 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
3
|
1
|
2
|
4
|
Number theory and modular arithmetic
|
2,982 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
5
|
8
|
6
|
7
|
Probability calculation and expected value
|
462 |
algebra
|
easy
|
Solve for x: x + 13 = 25
|
12
|
13
|
15
|
12
|
10
|
Algebraic manipulation and solving
|
3,626 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
2
|
3
|
4
|
Number theory and modular arithmetic
|
2,404 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x cos(x²)
|
2x sin(x²)
|
cos(x²)
|
cos(2x)
|
Calculus differentiation and integration
|
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