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 |
|---|---|---|---|---|---|---|---|---|---|
1,262 |
statistics
|
easy
|
Find the median of 14 11 10 8
|
10.5
|
10.5
|
8.5
|
11.5
|
12.5
|
Statistical measure calculation
|
4,074 |
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
|
2,903 |
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
|
3,216 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
4
|
4.5
|
3
|
Probability calculation and expected value
|
97 |
arithmetic
|
easy
|
Find 12 × 12
|
144
|
144
|
141
|
149
|
146
|
Standard arithmetic calculation
|
3,449 |
number_theory
|
easy
|
Is 29 a prime number?
|
Yes
|
Yes
|
Only if x>0
|
No
|
Cannot determine
|
Number theory and modular arithmetic
|
2,549 |
trigonometry
|
easy
|
Find cos(180°)
|
-1
|
-1
|
0
|
1
|
-1
|
Trigonometric functions and identities
|
1,800 |
fractions
|
easy
|
What is 1/4 + 1/4?
|
1/2
|
2/2
|
0/2
|
1/3
|
1/2
|
Fraction arithmetic and simplification
|
1,759 |
fractions
|
easy
|
Simplify 24/18
|
4/3
|
23/17
|
12/9
|
4/3
|
25/19
|
Fraction arithmetic and simplification
|
4,130 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Depends on other variables
|
False
|
True
|
Cannot determine
|
Logical reasoning and boolean operations
|
3,924 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is true
|
Q is false
|
P is false
|
Cannot determine
|
Logical reasoning and boolean operations
|
3,585 |
number_theory
|
medium
|
How many factors does 30 have?
|
8
|
8
|
9
|
6
|
7
|
Number theory and modular arithmetic
|
2,517 |
trigonometry
|
easy
|
What is sin(0°)?
|
0
|
0
|
0
|
1
|
-1
|
Trigonometric functions and identities
|
609 |
algebra
|
medium
|
Find x: x² = 81
|
9
|
7
|
12
|
9
|
10
|
Algebraic manipulation and solving
|
4,033 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Cannot determine
|
False
|
Depends on other variables
|
True
|
Logical reasoning and boolean operations
|
4,239 |
linear_algebra
|
easy
|
Calculate 4 × [2, 3]
|
[8, 12]
|
[8, 11]
|
[7, 12]
|
[8, 12]
|
[9, 12]
|
Vector operations and matrix calculations
|
2,396 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(x²)
|
2x cos(x²)
|
cos(2x)
|
2x sin(x²)
|
Calculus differentiation and integration
|
278 |
arithmetic
|
medium
|
What is 40% of 355?
|
142
|
142
|
152
|
137
|
147
|
Standard arithmetic calculation
|
2,465 |
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
|
4,641 |
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
8
|
5
|
6
|
4
|
Permutations and combinations
|
346 |
arithmetic
|
hard
|
Calculate (4^4 × 3) ÷ 9
|
85
|
88
|
93
|
80
|
85
|
Standard arithmetic calculation
|
1,650 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.94
|
2.24
|
2.54
|
1.74
|
Statistical measure calculation
|
4,538 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
4
|
3
|
6
|
5
|
Vector operations and matrix calculations
|
3,436 |
number_theory
|
easy
|
Is 17 a prime number?
|
Yes
|
Cannot determine
|
Only if x>0
|
No
|
Yes
|
Number theory and modular arithmetic
|
2,131 |
calculus
|
easy
|
Evaluate ∫x^3 dx
|
x^4/4 + C
|
x^4/4 + C
|
x^3 + C
|
x^5/5 + C
|
3x^2 + C
|
Calculus differentiation and integration
|
3,347 |
number_theory
|
easy
|
Is 23 a prime number?
|
Yes
|
No
|
Yes
|
Only if x>0
|
Cannot determine
|
Number theory and modular arithmetic
|
4,255 |
linear_algebra
|
easy
|
Calculate 3 × [2, 3]
|
[6, 9]
|
[7, 9]
|
[6, 9]
|
[6, 8]
|
[5, 9]
|
Vector operations and matrix calculations
|
1,863 |
fractions
|
medium
|
Divide 1 ÷ 4/5
|
5/4
|
5/5
|
6/4
|
4/5
|
5/4
|
Fraction arithmetic and simplification
|
1,711 |
fractions
|
easy
|
What is 1/4 + 1/4?
|
1/2
|
2/2
|
1/2
|
0/2
|
1/3
|
Fraction arithmetic and simplification
|
1,695 |
fractions
|
easy
|
Simplify 15/30
|
1/2
|
1/2
|
7/15
|
16/31
|
14/29
|
Fraction arithmetic and simplification
|
1,033 |
geometry
|
medium
|
What is the volume of a cube with side length 4?
|
64
|
99
|
64
|
79
|
44
|
Geometric calculation and spatial reasoning
|
1,764 |
fractions
|
easy
|
What is 1/2 + 1/4?
|
3/4
|
4/4
|
3/5
|
3/4
|
2/4
|
Fraction arithmetic and simplification
|
4,116 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Depends on other variables
|
False
|
True
|
Cannot determine
|
Logical reasoning and boolean operations
|
273 |
arithmetic
|
medium
|
What is 40% of 378?
|
151
|
146
|
156
|
161
|
151
|
Standard arithmetic calculation
|
2,109 |
calculus
|
easy
|
Find ∫x dx
|
x²/2 + C
|
x²/2 + C
|
x + C
|
x²
|
x³/3 + C
|
Calculus differentiation and integration
|
4,880 |
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
|
1,408 |
statistics
|
medium
|
What is the mode of 13 7 11 11 8 7 11?
|
11
|
9
|
11
|
12
|
14
|
Statistical measure calculation
|
4,213 |
linear_algebra
|
easy
|
Calculate 3 × [2, 3]
|
[6, 9]
|
[7, 9]
|
[6, 9]
|
[6, 8]
|
[5, 9]
|
Vector operations and matrix calculations
|
2,247 |
calculus
|
medium
|
What is d/dx(4x^2 - 1x + 1)?
|
8x^1 - 1
|
8x^1 - 1
|
8x^2 - 1
|
8x^1 - 1
|
4x^1 - 1
|
Calculus differentiation and integration
|
4,028 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
False
|
Depends on values
|
True
|
Cannot determine
|
Logical reasoning and boolean operations
|
1,966 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
1/2
|
1/3
|
2/2
|
Fraction arithmetic and simplification
|
1,601 |
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
|
4,902 |
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
|
2,341 |
calculus
|
medium
|
What is d/dx(4x^4 - 8x + 1)?
|
16x^3 - 8
|
4x^3 - 8
|
16x^3 - 8
|
16x^3 - 1
|
16x^4 - 8
|
Calculus differentiation and integration
|
314 |
arithmetic
|
hard
|
Calculate (3^4 × 3) ÷ 4
|
60
|
68
|
55
|
60
|
63
|
Standard arithmetic calculation
|
8 |
arithmetic
|
easy
|
Find 12 × 11
|
132
|
132
|
137
|
134
|
129
|
Standard arithmetic calculation
|
928 |
geometry
|
easy
|
What is the area of a rectangle with length 11 and width 3?
|
33
|
36
|
41
|
33
|
28
|
Geometric calculation and spatial reasoning
|
4,841 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
125
|
75
|
60
|
50
|
Permutations and combinations
|
32 |
arithmetic
|
easy
|
What is 94 + 10?
|
104
|
102
|
104
|
105
|
107
|
Standard arithmetic calculation
|
523 |
algebra
|
easy
|
Solve for x: x + 7 = 14
|
7
|
8
|
10
|
5
|
7
|
Algebraic manipulation and solving
|
705 |
algebra
|
hard
|
Solve: x² + -10x + 21 = 0
|
x = 3 or x = 7
|
x = 2 or x = 8
|
x = 3 or x = 7
|
x = -3 or x = -7
|
x = 4 or x = 6
|
Algebraic manipulation and solving
|
3,136 |
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
|
3,110 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/14
|
1/15
|
1/13
|
1/12
|
Probability calculation and expected value
|
890 |
geometry
|
easy
|
What is the area of a rectangle with length 11 and width 6?
|
66
|
69
|
61
|
66
|
74
|
Geometric calculation and spatial reasoning
|
1,414 |
statistics
|
medium
|
What is the mode of 14 14 14 19 11 4 19?
|
14
|
15
|
17
|
14
|
12
|
Statistical measure calculation
|
4,149 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
False
|
Depends on other variables
|
Cannot determine
|
True
|
Logical reasoning and boolean operations
|
4,232 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[4, 7]
|
[3, 7]
|
[3, 6]
|
[2, 7]
|
Vector operations and matrix calculations
|
441 |
algebra
|
easy
|
What is 2x when x = 9?
|
18
|
20
|
23
|
15
|
18
|
Algebraic manipulation and solving
|
4,715 |
combinatorics
|
easy
|
How many ways can 4 people stand in a line?
|
24
|
8
|
6
|
24
|
16
|
Permutations and combinations
|
4,567 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
6
|
5
|
4
|
Vector operations and matrix calculations
|
1,811 |
fractions
|
medium
|
Divide 6/5 ÷ 1
|
6/5
|
7/5
|
6/6
|
5/6
|
6/5
|
Fraction arithmetic and simplification
|
3,750 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
2
|
4
|
3
|
1
|
Number theory and modular arithmetic
|
3,355 |
number_theory
|
easy
|
Is 31 a prime number?
|
Yes
|
No
|
Yes
|
Cannot determine
|
Only if x>0
|
Number theory and modular arithmetic
|
1,958 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
1/2
|
1/3
|
2/2
|
Fraction arithmetic and simplification
|
2,241 |
calculus
|
medium
|
What is d/dx(2x^2 - 1x + 1)?
|
4x^1 - 1
|
4x^1 - 1
|
4x^1 - 1
|
4x^2 - 1
|
2x^1 - 1
|
Calculus differentiation and integration
|
3,233 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4.5
|
3.5
|
3
|
4
|
Probability calculation and expected value
|
1,242 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 7 and 24
|
25
|
24
|
23
|
26
|
25
|
Geometric calculation and spatial reasoning
|
809 |
algebra
|
hard
|
Solve: x² + -14x + 48 = 0
|
x = 6 or x = 8
|
x = 5 or x = 9
|
x = 6 or x = 8
|
x = -6 or x = -8
|
x = 7 or x = 7
|
Algebraic manipulation and solving
|
967 |
geometry
|
easy
|
What is the area of a rectangle with length 10 and width 3?
|
30
|
25
|
33
|
38
|
30
|
Geometric calculation and spatial reasoning
|
3,164 |
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
|
332 |
arithmetic
|
hard
|
Calculate (6^3 × 2) ÷ 5
|
86
|
89
|
94
|
81
|
86
|
Standard arithmetic calculation
|
1,322 |
statistics
|
easy
|
What is the mean of 6 13 11 12 2 17?
|
10.2
|
12.2
|
11.2
|
8.2
|
10.2
|
Statistical measure calculation
|
3,491 |
number_theory
|
medium
|
How many factors does 24 have?
|
8
|
7
|
9
|
8
|
6
|
Number theory and modular arithmetic
|
1,570 |
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
|
2,032 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/3
|
2/2
|
0/2
|
1/2
|
Fraction arithmetic and simplification
|
2,973 |
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
|
1,684 |
fractions
|
easy
|
What is 1/3 + 1/6?
|
1/2
|
0/2
|
2/2
|
1/2
|
1/3
|
Fraction arithmetic and simplification
|
3,807 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
mammal
|
pet
|
cat
|
animal
|
Logical reasoning and boolean operations
|
4,267 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 7]
|
[4, 7]
|
[3, 6]
|
[2, 7]
|
Vector operations and matrix calculations
|
3,232 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
4.5
|
4
|
3
|
Probability calculation and expected value
|
2,957 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
8
|
7
|
5
|
6
|
Probability calculation and expected value
|
3,861 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
Depends on context
|
Cannot determine
|
True
|
False
|
Logical reasoning and boolean operations
|
2,376 |
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
|
1,807 |
fractions
|
easy
|
Simplify 48/54
|
8/9
|
24/27
|
47/53
|
49/55
|
8/9
|
Fraction arithmetic and simplification
|
4,103 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Depends on other variables
|
False
|
True
|
Cannot determine
|
Logical reasoning and boolean operations
|
2,900 |
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
|
728 |
algebra
|
hard
|
Solve: x² + -12x + 32 = 0
|
x = 8 or x = 4
|
x = 7 or x = 5
|
x = 8 or x = 4
|
x = -8 or x = -4
|
x = 9 or x = 3
|
Algebraic manipulation and solving
|
4,456 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
4
|
5
|
3
|
6
|
Vector operations and matrix calculations
|
4,958 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
48
|
60
|
120
|
24
|
Permutations and combinations
|
2,102 |
calculus
|
easy
|
Evaluate ∫x^3 dx
|
x^4/4 + C
|
3x^2 + C
|
x^5/5 + C
|
x^4/4 + C
|
x^3 + C
|
Calculus differentiation and integration
|
4,421 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
9
|
11
|
10
|
8
|
Vector operations and matrix calculations
|
3,353 |
number_theory
|
easy
|
Is 17 a prime number?
|
Yes
|
Cannot determine
|
No
|
Only if x>0
|
Yes
|
Number theory and modular arithmetic
|
1,405 |
statistics
|
medium
|
What is the mode of 20 5 5 6 2 2 5?
|
5
|
5
|
6
|
3
|
8
|
Statistical measure calculation
|
4,061 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Cannot determine
|
False
|
True
|
Depends on other variables
|
Logical reasoning and boolean operations
|
2,958 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
6
|
5
|
8
|
7
|
Probability calculation and expected value
|
3,649 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
4
|
1
|
3
|
2
|
Number theory and modular arithmetic
|
750 |
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
|
891 |
geometry
|
easy
|
How many sides does a pentagon have?
|
5
|
4
|
7
|
5
|
6
|
Geometric calculation and spatial reasoning
|
3,937 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
Depends on values
|
False
|
Cannot determine
|
True
|
Logical reasoning and boolean operations
|
1,762 |
fractions
|
easy
|
Simplify 28/36
|
7/9
|
29/37
|
7/9
|
27/35
|
14/18
|
Fraction arithmetic and simplification
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.