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 |
|---|---|---|---|---|---|---|---|---|---|
4,120 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
True
|
False
|
Depends on other variables
|
Cannot determine
|
Logical reasoning and boolean operations
|
574 |
algebra
|
medium
|
Solve: 5x - 8 = 24
|
6
|
9
|
6
|
7
|
4
|
Algebraic manipulation and solving
|
4,797 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
60
|
75
|
125
|
50
|
Permutations and combinations
|
1,255 |
statistics
|
easy
|
What is the mean of 7 10 14 18 17?
|
13.2
|
11.2
|
14.2
|
13.2
|
15.2
|
Statistical measure calculation
|
4,659 |
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
6
|
8
|
5
|
4
|
Permutations and combinations
|
2,252 |
calculus
|
medium
|
What is d/dx(2x^2 - 5x + 1)?
|
4x^1 - 5
|
4x^1 - 5
|
4x^1 - 1
|
4x^2 - 5
|
2x^1 - 5
|
Calculus differentiation and integration
|
1,163 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
5
|
3
|
4
|
6
|
Geometric calculation and spatial reasoning
|
3,405 |
number_theory
|
easy
|
What is the GCD of 12 and 18?
|
6
|
7
|
4
|
5
|
6
|
Number theory and modular arithmetic
|
2,972 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
8
|
5
|
7
|
6
|
Probability calculation and expected value
|
3,664 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
3
|
4
|
1
|
2
|
Number theory and modular arithmetic
|
559 |
algebra
|
medium
|
Find x: x² = 100
|
10
|
10
|
8
|
11
|
13
|
Algebraic manipulation and solving
|
3,865 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
True
|
Depends on context
|
Cannot determine
|
False
|
Logical reasoning and boolean operations
|
3,171 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/30
|
1/32
|
1/35
|
1/36
|
Probability calculation and expected value
|
1,521 |
statistics
|
medium
|
What is the mode of 13 2 2 13 13 19 5?
|
13
|
13
|
11
|
14
|
16
|
Statistical measure calculation
|
4,405 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
9
|
8
|
10
|
11
|
Vector operations and matrix calculations
|
2,209 |
calculus
|
easy
|
Find d/dx(x^5)
|
5x^4
|
x^4
|
5x^4
|
x^5
|
5x^5
|
Calculus differentiation and integration
|
4,656 |
combinatorics
|
easy
|
How many ways can 5 people stand in a line?
|
120
|
24
|
25
|
120
|
10
|
Permutations and combinations
|
4,932 |
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
|
1,645 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.24
|
2.94
|
2.54
|
1.74
|
Statistical measure calculation
|
1,205 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
15
|
14
|
13
|
16
|
Geometric calculation and spatial reasoning
|
734 |
algebra
|
hard
|
Solve: x² + -9x + 18 = 0
|
x = 3 or x = 6
|
x = 2 or x = 7
|
x = 3 or x = 6
|
x = -3 or x = -6
|
x = 4 or x = 5
|
Algebraic manipulation and solving
|
4,284 |
linear_algebra
|
easy
|
Calculate 4 × [2, 3]
|
[8, 12]
|
[7, 12]
|
[8, 12]
|
[9, 12]
|
[8, 11]
|
Vector operations and matrix calculations
|
4,897 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
48
|
120
|
24
|
60
|
Permutations and combinations
|
2,349 |
calculus
|
medium
|
What is d/dx(3x^2 - 5x + 1)?
|
6x^1 - 5
|
6x^2 - 5
|
6x^1 - 1
|
6x^1 - 5
|
3x^1 - 5
|
Calculus differentiation and integration
|
3,810 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
False
|
Cannot determine
|
Depends on context
|
True
|
Logical reasoning and boolean operations
|
2,295 |
calculus
|
medium
|
What is d/dx(4x^3 - 4x + 1)?
|
12x^2 - 4
|
12x^2 - 1
|
12x^2 - 4
|
4x^2 - 4
|
12x^3 - 4
|
Calculus differentiation and integration
|
4,699 |
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
4
|
8
|
5
|
6
|
Permutations and combinations
|
827 |
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
|
588 |
algebra
|
medium
|
Solve: 3x - 14 = 12
|
8
|
11
|
9
|
6
|
8
|
Algebraic manipulation and solving
|
3,131 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/30
|
1/36
|
1/32
|
1/35
|
Probability calculation and expected value
|
1,758 |
fractions
|
easy
|
What is 1/3 + 1/3?
|
2/3
|
1/3
|
2/4
|
2/3
|
3/3
|
Fraction arithmetic and simplification
|
4,783 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
75
|
125
|
50
|
60
|
Permutations and combinations
|
3,486 |
number_theory
|
medium
|
How many factors does 30 have?
|
8
|
7
|
9
|
6
|
8
|
Number theory and modular arithmetic
|
455 |
algebra
|
easy
|
Solve for x: x + 8 = 11
|
3
|
3
|
6
|
1
|
4
|
Algebraic manipulation and solving
|
4,106 |
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
|
False
|
True
|
Logical reasoning and boolean operations
|
1,898 |
fractions
|
medium
|
Divide 2/7 ÷ 1/2
|
4/7
|
7/4
|
4/8
|
4/7
|
5/7
|
Fraction arithmetic and simplification
|
1,207 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
6
|
3
|
4
|
5
|
Geometric calculation and spatial reasoning
|
1,184 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
4
|
3
|
6
|
5
|
Geometric calculation and spatial reasoning
|
3,732 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
2
|
1
|
3
|
4
|
Number theory and modular arithmetic
|
2,418 |
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
|
3,866 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
True
|
Depends on context
|
False
|
Cannot determine
|
Logical reasoning and boolean operations
|
2,379 |
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
|
1,679 |
fractions
|
easy
|
Simplify 6/6
|
1/1
|
7/7
|
5/5
|
1/1
|
3/3
|
Fraction arithmetic and simplification
|
4,048 |
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
|
27 |
arithmetic
|
easy
|
What is 60 + 48?
|
108
|
108
|
106
|
111
|
109
|
Standard arithmetic calculation
|
417 |
arithmetic
|
hard
|
Calculate (3^3 × 3) ÷ 5
|
16
|
11
|
24
|
16
|
19
|
Standard arithmetic calculation
|
3,241 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
3
|
4.5
|
4
|
Probability calculation and expected value
|
3,134 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/30
|
1/36
|
1/35
|
1/32
|
Probability calculation and expected value
|
212 |
arithmetic
|
medium
|
What is 12²?
|
144
|
144
|
159
|
152
|
134
|
Standard arithmetic calculation
|
4,480 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
4
|
3
|
6
|
5
|
Vector operations and matrix calculations
|
2,150 |
calculus
|
easy
|
Find d/dx(x^3)
|
3x^2
|
x^2
|
3x^3
|
x^3
|
3x^2
|
Calculus differentiation and integration
|
3,500 |
number_theory
|
medium
|
Find LCM of 12 and 16
|
48
|
48
|
53
|
63
|
38
|
Number theory and modular arithmetic
|
1,071 |
geometry
|
medium
|
What is the volume of a cube with side length 7?
|
343
|
343
|
378
|
358
|
323
|
Geometric calculation and spatial reasoning
|
3,145 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/13
|
1/12
|
1/15
|
1/14
|
Probability calculation and expected value
|
3,157 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/12
|
1/14
|
1/15
|
1/13
|
Probability calculation and expected value
|
1,856 |
fractions
|
medium
|
Divide 5/7 ÷ 1/2
|
10/7
|
11/7
|
7/10
|
10/8
|
10/7
|
Fraction arithmetic and simplification
|
61 |
arithmetic
|
easy
|
What is 54 + 77?
|
131
|
134
|
132
|
129
|
131
|
Standard arithmetic calculation
|
1,396 |
statistics
|
medium
|
Calculate the range of 16 13 18 7 9 3 10 20
|
17
|
18
|
17
|
20
|
15
|
Statistical measure calculation
|
3,483 |
number_theory
|
medium
|
How many factors does 36 have?
|
9
|
8
|
10
|
7
|
9
|
Number theory and modular arithmetic
|
3,217 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4
|
4.5
|
3
|
3.5
|
Probability calculation and expected value
|
201 |
arithmetic
|
medium
|
Calculate 204 ÷ 12
|
17
|
15
|
18
|
20
|
17
|
Standard arithmetic calculation
|
219 |
arithmetic
|
medium
|
Calculate 234 ÷ 13
|
18
|
19
|
18
|
21
|
16
|
Standard arithmetic calculation
|
2,392 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x cos(x²)
|
2x sin(x²)
|
cos(2x)
|
cos(x²)
|
Calculus differentiation and integration
|
4,195 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[4, 7]
|
[3, 7]
|
[3, 6]
|
[2, 7]
|
Vector operations and matrix calculations
|
2,128 |
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
|
4,494 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
3
|
4
|
5
|
Vector operations and matrix calculations
|
4,910 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
120
|
60
|
48
|
24
|
Permutations and combinations
|
2,650 |
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
1
|
2
|
sin(2x)
|
0
|
Trigonometric functions and identities
|
2,753 |
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
2
|
0
|
1
|
sin(2x)
|
Trigonometric functions and identities
|
4,313 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
11
|
8
|
10
|
9
|
Vector operations and matrix calculations
|
1,607 |
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
|
2,595 |
trigonometry
|
easy
|
Calculate tan(0°)
|
0
|
0
|
-1
|
undefined
|
1
|
Trigonometric functions and identities
|
2,954 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/2
|
1/4
|
1/3
|
2/3
|
Probability calculation and expected value
|
3,351 |
number_theory
|
easy
|
Is 23 a prime number?
|
Yes
|
Only if x>0
|
No
|
Yes
|
Cannot determine
|
Number theory and modular arithmetic
|
1,789 |
fractions
|
easy
|
What is 1/2 + 1/3?
|
5/6
|
5/7
|
4/6
|
5/6
|
6/6
|
Fraction arithmetic and simplification
|
585 |
algebra
|
medium
|
Solve: 6x - 15 = 12
|
4
|
7
|
4
|
5
|
2
|
Algebraic manipulation and solving
|
3,031 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
7
|
8
|
6
|
5
|
Probability calculation and expected value
|
1,216 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
6
|
4
|
3
|
5
|
Geometric calculation and spatial reasoning
|
1,869 |
fractions
|
medium
|
Calculate 1/3 × 3/4
|
1/4
|
4/1
|
1/4
|
1/5
|
2/4
|
Fraction arithmetic and simplification
|
2,874 |
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
|
904 |
geometry
|
easy
|
How many sides does a octagon have?
|
8
|
10
|
7
|
8
|
9
|
Geometric calculation and spatial reasoning
|
2,081 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
0/2
|
1/3
|
1/2
|
Fraction arithmetic and simplification
|
2,778 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
√3
|
√2
|
0
|
1
|
Trigonometric functions and identities
|
19 |
arithmetic
|
easy
|
What is 34 + 24?
|
58
|
56
|
59
|
61
|
58
|
Standard arithmetic calculation
|
838 |
geometry
|
easy
|
How many sides does a pentagon have?
|
5
|
4
|
5
|
6
|
7
|
Geometric calculation and spatial reasoning
|
15 |
arithmetic
|
easy
|
Find 6 × 8
|
48
|
50
|
48
|
53
|
45
|
Standard arithmetic calculation
|
1,678 |
fractions
|
easy
|
What is 1/4 + 1/3?
|
7/12
|
6/12
|
7/13
|
7/12
|
8/12
|
Fraction arithmetic and simplification
|
1,973 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/3
|
1/2
|
0/2
|
2/2
|
Fraction arithmetic and simplification
|
4,619 |
combinatorics
|
easy
|
How many ways can 4 people stand in a line?
|
24
|
6
|
16
|
24
|
8
|
Permutations and combinations
|
535 |
algebra
|
easy
|
Solve for x: x + 10 = 16
|
6
|
9
|
6
|
7
|
4
|
Algebraic manipulation and solving
|
3,904 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
Depends on values
|
False
|
Cannot determine
|
True
|
Logical reasoning and boolean operations
|
3,450 |
number_theory
|
easy
|
Is 23 a prime number?
|
Yes
|
No
|
Cannot determine
|
Yes
|
Only if x>0
|
Number theory and modular arithmetic
|
2,284 |
calculus
|
medium
|
What is d/dx(2x^4 - 8x + 1)?
|
8x^3 - 8
|
8x^3 - 8
|
2x^3 - 8
|
8x^4 - 8
|
8x^3 - 1
|
Calculus differentiation and integration
|
2,693 |
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
0
|
sin(2x)
|
1
|
2
|
Trigonometric functions and identities
|
3,413 |
number_theory
|
easy
|
Is 31 a prime number?
|
Yes
|
Cannot determine
|
Yes
|
Only if x>0
|
No
|
Number theory and modular arithmetic
|
482 |
algebra
|
easy
|
Solve for x: x + 7 = 15
|
8
|
9
|
8
|
11
|
6
|
Algebraic manipulation and solving
|
1,845 |
fractions
|
medium
|
Divide 4/5 ÷ 1
|
4/5
|
5/4
|
4/6
|
4/5
|
5/5
|
Fraction arithmetic and simplification
|
3,846 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
False
|
Depends on context
|
True
|
Cannot determine
|
Logical reasoning and boolean operations
|
3,308 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4.5
|
3
|
3.5
|
4
|
Probability calculation and expected value
|
1,249 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
4
|
6
|
5
|
3
|
Geometric calculation and spatial reasoning
|
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