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 |
|---|---|---|---|---|---|---|---|---|---|
2,414 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
2x sin(x²)
|
cos(x²)
|
2x cos(x²)
|
Calculus differentiation and integration
|
2,387 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(x²)
|
cos(2x)
|
2x sin(x²)
|
2x cos(x²)
|
Calculus differentiation and integration
|
2,119 |
calculus
|
easy
|
Find d/dx(x^3)
|
3x^2
|
x^3
|
x^2
|
3x^2
|
3x^3
|
Calculus differentiation and integration
|
2,075 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
0/2
|
2/2
|
1/3
|
Fraction arithmetic and simplification
|
4,249 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 6]
|
[3, 7]
|
[2, 7]
|
[4, 7]
|
Vector operations and matrix calculations
|
3,172 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/32
|
1/36
|
1/35
|
1/30
|
Probability calculation and expected value
|
473 |
algebra
|
easy
|
What is 4x when x = 8?
|
32
|
29
|
37
|
34
|
32
|
Algebraic manipulation and solving
|
3,490 |
number_theory
|
medium
|
Find LCM of 12 and 16
|
48
|
48
|
53
|
38
|
63
|
Number theory and modular arithmetic
|
4,450 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
6
|
4
|
3
|
Vector operations and matrix calculations
|
484 |
algebra
|
easy
|
What is 3x when x = 4?
|
12
|
17
|
9
|
12
|
14
|
Algebraic manipulation and solving
|
2,276 |
calculus
|
medium
|
What is d/dx(5x^2 - 5x + 1)?
|
10x^1 - 5
|
10x^2 - 5
|
10x^1 - 5
|
10x^1 - 1
|
5x^1 - 5
|
Calculus differentiation and integration
|
99 |
arithmetic
|
easy
|
What is 54 + 29?
|
83
|
86
|
84
|
81
|
83
|
Standard arithmetic calculation
|
4,521 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
4
|
3
|
5
|
6
|
Vector operations and matrix calculations
|
4,814 |
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
|
3,089 |
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
|
1,211 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
15
|
14
|
16
|
13
|
Geometric calculation and spatial reasoning
|
1,483 |
statistics
|
medium
|
What is the mode of 7 7 2 7 7 10 7?
|
7
|
8
|
10
|
5
|
7
|
Statistical measure calculation
|
850 |
geometry
|
easy
|
What is the area of a rectangle with length 7 and width 4?
|
28
|
28
|
36
|
23
|
31
|
Geometric calculation and spatial reasoning
|
1,324 |
statistics
|
easy
|
Find the median of 7 11 2 9 6 17
|
8
|
10
|
9
|
8
|
6
|
Statistical measure calculation
|
429 |
algebra
|
easy
|
What is 6x when x = 9?
|
54
|
51
|
59
|
56
|
54
|
Algebraic manipulation and solving
|
721 |
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
|
4,108 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
False
|
Cannot determine
|
Depends on other variables
|
True
|
Logical reasoning and boolean operations
|
4,145 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Cannot determine
|
Depends on other variables
|
True
|
False
|
Logical reasoning and boolean operations
|
819 |
algebra
|
hard
|
Solve: x² + -10x + 24 = 0
|
x = 6 or x = 4
|
x = 5 or x = 5
|
x = 6 or x = 4
|
x = -6 or x = -4
|
x = 7 or x = 3
|
Algebraic manipulation and solving
|
4,537 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
5
|
4
|
6
|
Vector operations and matrix calculations
|
4,761 |
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
|
247 |
arithmetic
|
medium
|
What is 40% of 207?
|
82
|
82
|
92
|
77
|
87
|
Standard arithmetic calculation
|
2,851 |
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
|
4,003 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is true
|
P is false
|
Cannot determine
|
Q is false
|
Logical reasoning and boolean operations
|
2,046 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/2
|
1/3
|
0/2
|
Fraction arithmetic and simplification
|
1,816 |
fractions
|
medium
|
Divide 2/3 ÷ 4/5
|
5/6
|
6/5
|
5/7
|
6/6
|
5/6
|
Fraction arithmetic and simplification
|
590 |
algebra
|
medium
|
Find x: x² = 36
|
6
|
7
|
4
|
9
|
6
|
Algebraic manipulation and solving
|
255 |
arithmetic
|
medium
|
What is 20% of 255?
|
51
|
61
|
46
|
56
|
51
|
Standard arithmetic calculation
|
1,803 |
fractions
|
easy
|
Simplify 20/40
|
1/2
|
21/41
|
19/39
|
10/20
|
1/2
|
Fraction arithmetic and simplification
|
3,842 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
cat
|
pet
|
mammal
|
animal
|
Logical reasoning and boolean operations
|
3,691 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
4
|
2
|
3
|
1
|
Number theory and modular arithmetic
|
2,729 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
√3
|
0
|
1
|
√2
|
Trigonometric functions and identities
|
2,417 |
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
|
3,399 |
number_theory
|
easy
|
What is the GCD of 14 and 21?
|
7
|
7
|
5
|
6
|
8
|
Number theory and modular arithmetic
|
997 |
geometry
|
medium
|
Find the area of a circle with radius 3 (use π ≈ 3.14)
|
28.27
|
25.77
|
31.47
|
30.07
|
28.27
|
Geometric calculation and spatial reasoning
|
161 |
arithmetic
|
medium
|
What is 8²?
|
64
|
54
|
72
|
64
|
79
|
Standard arithmetic calculation
|
700 |
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
|
1,861 |
fractions
|
medium
|
Calculate 3/4 × 2/5
|
3/10
|
3/10
|
4/10
|
10/3
|
3/11
|
Fraction arithmetic and simplification
|
412 |
arithmetic
|
hard
|
Calculate (3^3 × 2) ÷ 8
|
6
|
1
|
14
|
6
|
9
|
Standard arithmetic calculation
|
4,981 |
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
|
1,547 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
1.74
|
2.54
|
2.24
|
2.94
|
Statistical measure calculation
|
4,530 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
3
|
6
|
4
|
Vector operations and matrix calculations
|
1,496 |
statistics
|
medium
|
Calculate the range of 10 13 4 5 18 10 6
|
14
|
12
|
14
|
17
|
15
|
Statistical measure calculation
|
832 |
algebra
|
hard
|
Solve: x² + -13x + 42 = 0
|
x = 7 or x = 6
|
x = 6 or x = 7
|
x = 7 or x = 6
|
x = -7 or x = -6
|
x = 8 or x = 5
|
Algebraic manipulation and solving
|
4,748 |
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
|
4,597 |
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
6
|
5
|
8
|
4
|
Permutations and combinations
|
3,533 |
number_theory
|
medium
|
How many factors does 36 have?
|
9
|
10
|
7
|
9
|
8
|
Number theory and modular arithmetic
|
4,804 |
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
|
3,557 |
number_theory
|
medium
|
Find LCM of 12 and 16
|
48
|
38
|
53
|
48
|
63
|
Number theory and modular arithmetic
|
4,246 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[2, 7]
|
[3, 7]
|
[4, 7]
|
[3, 6]
|
Vector operations and matrix calculations
|
1,746 |
fractions
|
easy
|
Simplify 6/24
|
1/4
|
7/25
|
5/23
|
1/4
|
3/12
|
Fraction arithmetic and simplification
|
4,528 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
5
|
4
|
6
|
Vector operations and matrix calculations
|
2,557 |
trigonometry
|
easy
|
What is sin(180°)?
|
0
|
0
|
0
|
1
|
-1
|
Trigonometric functions and identities
|
1,478 |
statistics
|
medium
|
Calculate the range of 8 19 6 13 11
|
13
|
11
|
13
|
16
|
14
|
Statistical measure calculation
|
1,329 |
statistics
|
easy
|
Find the median of 10 20 17 20 19 18 12 6
|
17.5
|
18.5
|
15.5
|
19.5
|
17.5
|
Statistical measure calculation
|
1,321 |
statistics
|
easy
|
Find the median of 10 12 4 8 13 14 14 13
|
12.5
|
10.5
|
13.5
|
14.5
|
12.5
|
Statistical measure calculation
|
1,011 |
geometry
|
medium
|
What is the volume of a cube with side length 4?
|
64
|
64
|
44
|
79
|
99
|
Geometric calculation and spatial reasoning
|
815 |
algebra
|
hard
|
Solve: x² + -9x + 14 = 0
|
x = 7 or x = 2
|
x = 6 or x = 3
|
x = 7 or x = 2
|
x = -7 or x = -2
|
x = 8 or x = 1
|
Algebraic manipulation and solving
|
4,839 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
60
|
50
|
75
|
125
|
Permutations and combinations
|
3,670 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
2
|
4
|
3
|
1
|
Number theory and modular arithmetic
|
1,204 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 7 and 24
|
25
|
25
|
24
|
26
|
23
|
Geometric calculation and spatial reasoning
|
3,084 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/32
|
1/30
|
1/35
|
1/36
|
Probability calculation and expected value
|
3,480 |
number_theory
|
medium
|
How many factors does 24 have?
|
8
|
7
|
9
|
6
|
8
|
Number theory and modular arithmetic
|
3,296 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
4.5
|
4
|
3.5
|
Probability calculation and expected value
|
2,645 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
0
|
√2
|
√3
|
1
|
Trigonometric functions and identities
|
4,884 |
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
|
260 |
arithmetic
|
medium
|
Calculate 132 ÷ 11
|
12
|
15
|
10
|
13
|
12
|
Standard arithmetic calculation
|
2,866 |
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
|
3,226 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
4
|
3.5
|
4.5
|
Probability calculation and expected value
|
4,148 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Depends on other variables
|
Cannot determine
|
True
|
False
|
Logical reasoning and boolean operations
|
337 |
arithmetic
|
hard
|
Calculate (6^3 × 4) ÷ 4
|
216
|
219
|
216
|
211
|
224
|
Standard arithmetic calculation
|
3,882 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
cat
|
animal
|
pet
|
mammal
|
Logical reasoning and boolean operations
|
2,568 |
trigonometry
|
easy
|
Find cos(180°)
|
-1
|
0
|
-1
|
1
|
-1
|
Trigonometric functions and identities
|
1,271 |
statistics
|
easy
|
What is the mean of 2 9 19 18 2?
|
10
|
8
|
10
|
12
|
11
|
Statistical measure calculation
|
4,223 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 6]
|
[3, 7]
|
[4, 7]
|
[2, 7]
|
Vector operations and matrix calculations
|
676 |
algebra
|
medium
|
Solve: 5x - 10 = 19
|
5
|
6
|
8
|
5
|
3
|
Algebraic manipulation and solving
|
3,222 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
4
|
3
|
4.5
|
Probability calculation and expected value
|
4,351 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
8
|
10
|
9
|
11
|
Vector operations and matrix calculations
|
2,994 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/4
|
2/3
|
1/3
|
1/2
|
Probability calculation and expected value
|
21 |
arithmetic
|
easy
|
Find 5 × 12
|
60
|
60
|
62
|
65
|
57
|
Standard arithmetic calculation
|
622 |
algebra
|
medium
|
Solve: 3x - 5 = 24
|
9
|
12
|
7
|
10
|
9
|
Algebraic manipulation and solving
|
4,875 |
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
|
3,588 |
number_theory
|
medium
|
How many factors does 36 have?
|
9
|
10
|
7
|
8
|
9
|
Number theory and modular arithmetic
|
4,542 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
4
|
3
|
5
|
Vector operations and matrix calculations
|
1,404 |
statistics
|
medium
|
What is the mode of 10 10 2 9 4 10 8?
|
10
|
10
|
8
|
11
|
13
|
Statistical measure calculation
|
269 |
arithmetic
|
medium
|
What is 20% of 251?
|
50
|
50
|
55
|
45
|
60
|
Standard arithmetic calculation
|
2,566 |
trigonometry
|
easy
|
What is tan(45°)?
|
1
|
√3
|
√2
|
1
|
0
|
Trigonometric functions and identities
|
566 |
algebra
|
medium
|
Solve: 6x - 11 = 10
|
3
|
6
|
3
|
1
|
4
|
Algebraic manipulation and solving
|
1,926 |
fractions
|
medium
|
Calculate 1/2 × 1/4
|
1/8
|
1/9
|
1/8
|
2/8
|
8/1
|
Fraction arithmetic and simplification
|
4,739 |
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
|
3,542 |
number_theory
|
medium
|
Find LCM of 9 and 15
|
45
|
45
|
35
|
60
|
50
|
Number theory and modular arithmetic
|
2,331 |
calculus
|
medium
|
What is d/dx(4x^4 - 5x + 1)?
|
16x^3 - 5
|
16x^3 - 5
|
16x^4 - 5
|
16x^3 - 1
|
4x^3 - 5
|
Calculus differentiation and integration
|
3,245 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4
|
3.5
|
4.5
|
3
|
Probability calculation and expected value
|
35 |
arithmetic
|
easy
|
What is 17 + 72?
|
89
|
92
|
87
|
89
|
90
|
Standard arithmetic calculation
|
4,488 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
4
|
6
|
5
|
Vector operations and matrix calculations
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.