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 |
|---|---|---|---|---|---|---|---|---|---|
2,406 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x sin(x²)
|
cos(2x)
|
2x cos(x²)
|
cos(x²)
|
Calculus differentiation and integration
|
373 |
arithmetic
|
hard
|
Calculate (4^3 × 3) ÷ 7
|
27
|
30
|
22
|
35
|
27
|
Standard arithmetic calculation
|
4,214 |
linear_algebra
|
easy
|
Calculate 4 × [2, 3]
|
[8, 12]
|
[8, 11]
|
[8, 12]
|
[9, 12]
|
[7, 12]
|
Vector operations and matrix calculations
|
3,224 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
3.5
|
4.5
|
4
|
Probability calculation and expected value
|
720 |
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
|
3,459 |
number_theory
|
easy
|
What is the GCD of 14 and 21?
|
7
|
7
|
5
|
8
|
6
|
Number theory and modular arithmetic
|
1,972 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/3
|
2/2
|
1/2
|
0/2
|
Fraction arithmetic and simplification
|
2,035 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
2/2
|
0/2
|
1/3
|
Fraction arithmetic and simplification
|
4,253 |
linear_algebra
|
easy
|
Calculate 2 × [2, 3]
|
[4, 6]
|
[4, 6]
|
[5, 6]
|
[3, 6]
|
[4, 5]
|
Vector operations and matrix calculations
|
4,706 |
combinatorics
|
easy
|
How many ways can 5 people stand in a line?
|
120
|
10
|
25
|
120
|
24
|
Permutations and combinations
|
4,957 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
24
|
120
|
60
|
48
|
Permutations and combinations
|
2,792 |
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
|
4,068 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
False
|
Depends on other variables
|
True
|
Cannot determine
|
Logical reasoning and boolean operations
|
3,979 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
True
|
Cannot determine
|
False
|
Depends on values
|
Logical reasoning and boolean operations
|
2,384 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
2x cos(x²)
|
cos(x²)
|
2x sin(x²)
|
Calculus differentiation and integration
|
2,623 |
trigonometry
|
easy
|
What is sin(60°)?
|
0.87
|
0.87
|
0
|
1
|
-1
|
Trigonometric functions and identities
|
4,881 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
24
|
120
|
60
|
48
|
Permutations and combinations
|
1,640 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
1.74
|
2.54
|
2.94
|
2.24
|
Statistical measure calculation
|
1,439 |
statistics
|
medium
|
Calculate the range of 2 4 20 4 12 19
|
18
|
18
|
16
|
21
|
19
|
Statistical measure calculation
|
18 |
arithmetic
|
easy
|
What is 72 + 82?
|
154
|
155
|
152
|
157
|
154
|
Standard arithmetic calculation
|
141 |
arithmetic
|
medium
|
Calculate 135 ÷ 9
|
15
|
16
|
13
|
18
|
15
|
Standard arithmetic calculation
|
2,352 |
calculus
|
medium
|
What is d/dx(3x^4 - 6x + 1)?
|
12x^3 - 6
|
12x^4 - 6
|
12x^3 - 1
|
3x^3 - 6
|
12x^3 - 6
|
Calculus differentiation and integration
|
1,486 |
statistics
|
medium
|
Calculate the range of 17 12 4 11 14 7 13
|
13
|
16
|
13
|
14
|
11
|
Statistical measure calculation
|
1,275 |
statistics
|
easy
|
What is the mean of 9 6 6 14 3?
|
7.6
|
5.6
|
7.6
|
9.6
|
8.6
|
Statistical measure calculation
|
4,247 |
linear_algebra
|
easy
|
Calculate 5 × [2, 3]
|
[10, 15]
|
[9, 15]
|
[11, 15]
|
[10, 15]
|
[10, 14]
|
Vector operations and matrix calculations
|
2,951 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
2/3
|
1/4
|
1/2
|
1/3
|
Probability calculation and expected value
|
4,006 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is false
|
Cannot determine
|
Q is true
|
P is false
|
Logical reasoning and boolean operations
|
2,448 |
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
|
4,792 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
50
|
75
|
60
|
125
|
Permutations and combinations
|
3,382 |
number_theory
|
easy
|
What is the GCD of 15 and 25?
|
5
|
6
|
4
|
3
|
5
|
Number theory and modular arithmetic
|
140 |
arithmetic
|
medium
|
What is 15% of 123?
|
18
|
18
|
23
|
28
|
13
|
Standard arithmetic calculation
|
3,218 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
4.5
|
3.5
|
4
|
Probability calculation and expected value
|
1,567 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.94
|
1.74
|
2.24
|
2.54
|
Statistical measure calculation
|
1,306 |
statistics
|
easy
|
What is the mean of 3 17 13 16 9 12 5?
|
10.7
|
12.7
|
8.7
|
11.7
|
10.7
|
Statistical measure calculation
|
913 |
geometry
|
easy
|
What is the area of a rectangle with length 9 and width 8?
|
72
|
80
|
67
|
72
|
75
|
Geometric calculation and spatial reasoning
|
38 |
arithmetic
|
easy
|
Find 7 × 12
|
84
|
84
|
86
|
81
|
89
|
Standard arithmetic calculation
|
3,998 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
False
|
Cannot determine
|
Depends on values
|
True
|
Logical reasoning and boolean operations
|
4,565 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
5
|
4
|
3
|
Vector operations and matrix calculations
|
1,814 |
fractions
|
medium
|
Divide 5/3 ÷ 4/5
|
25/12
|
12/25
|
25/13
|
25/12
|
26/12
|
Fraction arithmetic and simplification
|
3,711 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
3
|
2
|
4
|
Number theory and modular arithmetic
|
956 |
geometry
|
easy
|
What is the area of a rectangle with length 7 and width 9?
|
63
|
71
|
63
|
66
|
58
|
Geometric calculation and spatial reasoning
|
1,781 |
fractions
|
easy
|
Simplify 42/18
|
7/3
|
21/9
|
43/19
|
7/3
|
41/17
|
Fraction arithmetic and simplification
|
4,159 |
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
|
550 |
algebra
|
easy
|
What is 8x when x = 3?
|
24
|
29
|
26
|
24
|
21
|
Algebraic manipulation and solving
|
4,522 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
4
|
6
|
3
|
Vector operations and matrix calculations
|
2,515 |
trigonometry
|
easy
|
Find cos(90°)
|
0
|
0
|
1
|
0
|
-1
|
Trigonometric functions and identities
|
505 |
algebra
|
easy
|
Solve for x: x + 10 = 16
|
6
|
9
|
7
|
4
|
6
|
Algebraic manipulation and solving
|
4,230 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 7]
|
[4, 7]
|
[2, 7]
|
[3, 6]
|
Vector operations and matrix calculations
|
1,174 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
4
|
6
|
5
|
3
|
Geometric calculation and spatial reasoning
|
969 |
geometry
|
easy
|
How many sides does a pentagon have?
|
5
|
5
|
7
|
6
|
4
|
Geometric calculation and spatial reasoning
|
4,495 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
3
|
6
|
4
|
Vector operations and matrix calculations
|
4,341 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
11
|
8
|
10
|
9
|
Vector operations and matrix calculations
|
3,782 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
Depends on context
|
Cannot determine
|
False
|
True
|
Logical reasoning and boolean operations
|
1,648 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.94
|
1.74
|
2.24
|
2.54
|
Statistical measure calculation
|
1,206 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
5
|
4
|
3
|
6
|
Geometric calculation and spatial reasoning
|
300 |
arithmetic
|
hard
|
Calculate (6^4 × 2) ÷ 3
|
864
|
872
|
859
|
867
|
864
|
Standard arithmetic calculation
|
2,460 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
2x cos(x²)
|
cos(x²)
|
2x sin(x²)
|
Calculus differentiation and integration
|
4,084 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
True
|
False
|
Cannot determine
|
Depends on other variables
|
Logical reasoning and boolean operations
|
3,326 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
4
|
3.5
|
4.5
|
Probability calculation and expected value
|
2,064 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/2
|
0/2
|
1/3
|
Fraction arithmetic and simplification
|
1,620 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.94
|
2.54
|
1.74
|
2.24
|
Statistical measure calculation
|
410 |
arithmetic
|
hard
|
Calculate (4^3 × 2) ÷ 7
|
18
|
13
|
18
|
21
|
26
|
Standard arithmetic calculation
|
3,775 |
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
Cannot determine
|
Depends on context
|
True
|
False
|
Logical reasoning and boolean operations
|
4,060 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
True
|
Cannot determine
|
Depends on other variables
|
False
|
Logical reasoning and boolean operations
|
1,135 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
15
|
14
|
16
|
13
|
Geometric calculation and spatial reasoning
|
1,994 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
1/3
|
2/2
|
0/2
|
Fraction arithmetic and simplification
|
1,997 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/3
|
1/2
|
0/2
|
2/2
|
Fraction arithmetic and simplification
|
4,582 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
3
|
5
|
4
|
Vector operations and matrix calculations
|
380 |
arithmetic
|
hard
|
Calculate (4^3 × 2) ÷ 3
|
42
|
42
|
45
|
50
|
37
|
Standard arithmetic calculation
|
4,572 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
3
|
6
|
4
|
Vector operations and matrix calculations
|
3,055 |
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
|
4,689 |
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
6
|
5
|
8
|
4
|
Permutations and combinations
|
3,724 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
3
|
2
|
4
|
Number theory and modular arithmetic
|
1,013 |
geometry
|
medium
|
What is the volume of a cube with side length 9?
|
729
|
709
|
729
|
764
|
744
|
Geometric calculation and spatial reasoning
|
2,320 |
calculus
|
medium
|
What is d/dx(4x^4 - 7x + 1)?
|
16x^3 - 7
|
4x^3 - 7
|
16x^4 - 7
|
16x^3 - 7
|
16x^3 - 1
|
Calculus differentiation and integration
|
1,875 |
fractions
|
medium
|
Calculate 2/3 × 5/8
|
5/12
|
5/12
|
5/13
|
12/5
|
6/12
|
Fraction arithmetic and simplification
|
167 |
arithmetic
|
medium
|
What is 20% of 360?
|
72
|
77
|
67
|
82
|
72
|
Standard arithmetic calculation
|
4,162 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Cannot determine
|
True
|
False
|
Depends on other variables
|
Logical reasoning and boolean operations
|
3,945 |
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
False
|
True
|
Depends on values
|
Cannot determine
|
Logical reasoning and boolean operations
|
4,599 |
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
6
|
4
|
8
|
5
|
Permutations and combinations
|
3,530 |
number_theory
|
medium
|
Find LCM of 12 and 16
|
48
|
63
|
53
|
38
|
48
|
Number theory and modular arithmetic
|
1,455 |
statistics
|
medium
|
Calculate the range of 9 13 17 7 15 5 18
|
13
|
16
|
13
|
11
|
14
|
Statistical measure calculation
|
1,125 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 9 and 12
|
15
|
14
|
16
|
15
|
13
|
Geometric calculation and spatial reasoning
|
4,861 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
75
|
60
|
50
|
125
|
Permutations and combinations
|
4,515 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
3
|
4
|
6
|
Vector operations and matrix calculations
|
262 |
arithmetic
|
medium
|
What is 10²?
|
100
|
100
|
115
|
90
|
108
|
Standard arithmetic calculation
|
1,130 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
6
|
3
|
4
|
5
|
Geometric calculation and spatial reasoning
|
634 |
algebra
|
medium
|
Solve: 6x - 8 = 25
|
5
|
3
|
6
|
5
|
8
|
Algebraic manipulation and solving
|
1,634 |
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
|
2,653 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
√3
|
√2
|
1
|
0
|
Trigonometric functions and identities
|
9 |
arithmetic
|
easy
|
What is 73 + 24?
|
97
|
97
|
98
|
95
|
100
|
Standard arithmetic calculation
|
1,295 |
statistics
|
easy
|
Find the median of 11 13 20 10 3 19 20 14
|
13.5
|
13.5
|
11.5
|
14.5
|
15.5
|
Statistical measure calculation
|
2,494 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x sin(x²)
|
cos(2x)
|
2x cos(x²)
|
cos(x²)
|
Calculus differentiation and integration
|
103 |
arithmetic
|
easy
|
Find 5 × 5
|
25
|
27
|
22
|
30
|
25
|
Standard arithmetic calculation
|
683 |
algebra
|
medium
|
Find x: x² = 100
|
10
|
10
|
8
|
13
|
11
|
Algebraic manipulation and solving
|
3,240 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4
|
3.5
|
3
|
4.5
|
Probability calculation and expected value
|
1,656 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.54
|
2.94
|
1.74
|
2.24
|
Statistical measure calculation
|
2,739 |
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
sin(2x)
|
1
|
0
|
2
|
Trigonometric functions and identities
|
4,747 |
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
|
2,706 |
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
0
|
1
|
sin(2x)
|
2
|
Trigonometric functions and identities
|
Subsets and Splits
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