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 |
|---|---|---|---|---|---|---|---|---|---|
3,186
|
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/36
|
1/35
|
1/30
|
1/32
|
Probability calculation and expected value
|
2,558
|
trigonometry
|
easy
|
Calculate tan(0°)
|
0
|
1
|
undefined
|
0
|
-1
|
Trigonometric functions and identities
|
1,606
|
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
1.74
|
2.24
|
2.94
|
2.54
|
Statistical measure calculation
|
2,171
|
calculus
|
easy
|
Find d/dx(x^5)
|
5x^4
|
x^4
|
5x^4
|
x^5
|
5x^5
|
Calculus differentiation and integration
|
726
|
algebra
|
hard
|
Solve: x² + -11x + 24 = 0
|
x = 8 or x = 3
|
x = 7 or x = 4
|
x = 8 or x = 3
|
x = -8 or x = -3
|
x = 9 or x = 2
|
Algebraic manipulation and solving
|
210
|
arithmetic
|
medium
|
What is 15% of 322?
|
48
|
53
|
43
|
58
|
48
|
Standard arithmetic calculation
|
2,004
|
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
2/2
|
1/2
|
1/3
|
Fraction arithmetic and simplification
|
368
|
arithmetic
|
hard
|
Calculate (6^4 × 2) ÷ 4
|
648
|
656
|
651
|
648
|
643
|
Standard arithmetic calculation
|
1,882
|
fractions
|
medium
|
Calculate 5/6 × 5/7
|
25/42
|
42/25
|
26/42
|
25/42
|
25/43
|
Fraction arithmetic and simplification
|
839
|
geometry
|
easy
|
How many sides does a pentagon have?
|
5
|
7
|
4
|
5
|
6
|
Geometric calculation and spatial reasoning
|
4,686
|
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
4
|
8
|
5
|
6
|
Permutations and combinations
|
4,017
|
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
Cannot determine
|
True
|
Depends on values
|
False
|
Logical reasoning and boolean operations
|
1,899
|
fractions
|
medium
|
Divide 2/3 ÷ 1
|
2/3
|
2/3
|
3/3
|
3/2
|
2/4
|
Fraction arithmetic and simplification
|
1,843
|
fractions
|
medium
|
Calculate 5/3 × 3/7
|
5/7
|
7/5
|
5/8
|
6/7
|
5/7
|
Fraction arithmetic and simplification
|
4,970
|
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
48
|
60
|
24
|
120
|
Permutations and combinations
|
4,014
|
logic
|
medium
|
What is NOT(True AND False)?
|
True
|
False
|
Cannot determine
|
Depends on values
|
True
|
Logical reasoning and boolean operations
|
690
|
algebra
|
medium
|
Solve: 5x - 13 = 11
|
4
|
2
|
7
|
5
|
4
|
Algebraic manipulation and solving
|
227
|
arithmetic
|
medium
|
Calculate 260 ÷ 13
|
20
|
21
|
18
|
20
|
23
|
Standard arithmetic calculation
|
3,633
|
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
4
|
2
|
1
|
3
|
Number theory and modular arithmetic
|
2,280
|
calculus
|
medium
|
What is d/dx(2x^4 - 3x + 1)?
|
8x^3 - 3
|
8x^4 - 3
|
8x^3 - 3
|
8x^3 - 1
|
2x^3 - 3
|
Calculus differentiation and integration
|
3,021
|
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
2/3
|
1/3
|
1/2
|
1/4
|
Probability calculation and expected value
|
502
|
algebra
|
easy
|
Solve for x: x + 7 = 17
|
10
|
13
|
8
|
10
|
11
|
Algebraic manipulation and solving
|
4,182
|
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 7]
|
[2, 7]
|
[3, 6]
|
[4, 7]
|
Vector operations and matrix calculations
|
3,799
|
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
Cannot determine
|
Depends on context
|
False
|
True
|
Logical reasoning and boolean operations
|
4,089
|
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
|
1,555
|
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
|
2,868
|
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
|
3,001
|
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/3
|
2/3
|
1/2
|
1/4
|
Probability calculation and expected value
|
3,834
|
logic
|
easy
|
True or False: 5 > 3 AND 2 < 4
|
True
|
Cannot determine
|
False
|
Depends on context
|
True
|
Logical reasoning and boolean operations
|
1,768
|
fractions
|
easy
|
What is 1/4 + 1/4?
|
1/2
|
2/2
|
0/2
|
1/2
|
1/3
|
Fraction arithmetic and simplification
|
1,960
|
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/2
|
1/3
|
0/2
|
Fraction arithmetic and simplification
|
2,400
|
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
|
4,171
|
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 6]
|
[3, 7]
|
[4, 7]
|
[2, 7]
|
Vector operations and matrix calculations
|
4,091
|
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
|
1,782
|
fractions
|
easy
|
Simplify 8/36
|
2/9
|
9/37
|
2/9
|
4/18
|
7/35
|
Fraction arithmetic and simplification
|
2,977
|
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/4
|
1/2
|
1/3
|
2/3
|
Probability calculation and expected value
|
4,119
|
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
False
|
Cannot determine
|
True
|
Depends on other variables
|
Logical reasoning and boolean operations
|
2,603
|
trigonometry
|
easy
|
What is sin(45°)?
|
0.71
|
0.71
|
1
|
0
|
-1
|
Trigonometric functions and identities
|
2,053
|
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
1/3
|
2/2
|
0/2
|
Fraction arithmetic and simplification
|
2,472
|
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
2x sin(x²)
|
2x cos(x²)
|
cos(x²)
|
cos(2x)
|
Calculus differentiation and integration
|
4,966
|
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
|
114
|
arithmetic
|
easy
|
Find 9 × 10
|
90
|
95
|
90
|
87
|
92
|
Standard arithmetic calculation
|
3,593
|
number_theory
|
medium
|
How many factors does 30 have?
|
8
|
9
|
7
|
6
|
8
|
Number theory and modular arithmetic
|
735
|
algebra
|
hard
|
Solve: x² + -9x + 20 = 0
|
x = 4 or x = 5
|
x = 3 or x = 6
|
x = 4 or x = 5
|
x = -4 or x = -5
|
x = 5 or x = 4
|
Algebraic manipulation and solving
|
3,863
|
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
pet
|
mammal
|
cat
|
animal
|
Logical reasoning and boolean operations
|
2,244
|
calculus
|
medium
|
What is d/dx(4x^3 - 4x + 1)?
|
12x^2 - 4
|
4x^2 - 4
|
12x^2 - 1
|
12x^2 - 4
|
12x^3 - 4
|
Calculus differentiation and integration
|
848
|
geometry
|
easy
|
What is the area of a rectangle with length 10 and width 6?
|
60
|
68
|
55
|
63
|
60
|
Geometric calculation and spatial reasoning
|
2,677
|
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
1
|
√2
|
√3
|
0
|
Trigonometric functions and identities
|
183
|
arithmetic
|
medium
|
What is 40% of 131?
|
52
|
52
|
57
|
47
|
62
|
Standard arithmetic calculation
|
4,911
|
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
60
|
120
|
48
|
24
|
Permutations and combinations
|
580
|
algebra
|
medium
|
Solve: 4x - 15 = 20
|
8
|
11
|
8
|
6
|
9
|
Algebraic manipulation and solving
|
1,986
|
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
1/3
|
2/2
|
0/2
|
Fraction arithmetic and simplification
|
128
|
arithmetic
|
easy
|
Calculate 73 - 24
|
49
|
50
|
48
|
51
|
49
|
Standard arithmetic calculation
|
3,105
|
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/30
|
1/35
|
1/32
|
1/36
|
Probability calculation and expected value
|
4,461
|
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
5
|
4
|
6
|
Vector operations and matrix calculations
|
430
|
algebra
|
easy
|
Solve for x: x + 14 = 23
|
9
|
10
|
12
|
9
|
7
|
Algebraic manipulation and solving
|
2,715
|
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
sin(2x)
|
1
|
2
|
0
|
Trigonometric functions and identities
|
745
|
algebra
|
hard
|
Solve: x² + -13x + 40 = 0
|
x = 5 or x = 8
|
x = 4 or x = 9
|
x = 5 or x = 8
|
x = -5 or x = -8
|
x = 6 or x = 7
|
Algebraic manipulation and solving
|
109
|
arithmetic
|
easy
|
Find 9 × 7
|
63
|
63
|
60
|
65
|
68
|
Standard arithmetic calculation
|
2,837
|
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
|
3,628
|
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
3
|
2
|
4
|
Number theory and modular arithmetic
|
3,740
|
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
3
|
4
|
2
|
Number theory and modular arithmetic
|
218
|
arithmetic
|
medium
|
What is 30% of 221?
|
66
|
71
|
66
|
61
|
76
|
Standard arithmetic calculation
|
1,213
|
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
5
|
4
|
3
|
6
|
Geometric calculation and spatial reasoning
|
3,601
|
number_theory
|
medium
|
Find LCM of 12 and 16
|
48
|
63
|
53
|
48
|
38
|
Number theory and modular arithmetic
|
1,256
|
statistics
|
easy
|
Find the median of 6 11 17 17 2 6 10
|
10
|
11
|
10
|
12
|
8
|
Statistical measure calculation
|
1,627
|
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
|
132
|
arithmetic
|
easy
|
Find 9 × 9
|
81
|
78
|
86
|
83
|
81
|
Standard arithmetic calculation
|
1,635
|
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.54
|
2.94
|
2.24
|
1.74
|
Statistical measure calculation
|
4,279
|
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 6]
|
[3, 7]
|
[4, 7]
|
[2, 7]
|
Vector operations and matrix calculations
|
1,967
|
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/3
|
1/2
|
2/2
|
0/2
|
Fraction arithmetic and simplification
|
2,421
|
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
|
950
|
geometry
|
easy
|
What is the area of a rectangle with length 9 and width 4?
|
36
|
31
|
36
|
44
|
39
|
Geometric calculation and spatial reasoning
|
1,279
|
statistics
|
easy
|
What is the mean of 20 15 2 15 14?
|
13.2
|
13.2
|
14.2
|
15.2
|
11.2
|
Statistical measure calculation
|
1,087
|
geometry
|
medium
|
Find the area of a circle with radius 6 (use π ≈ 3.14)
|
113.1
|
116.3
|
113.1
|
114.9
|
110.6
|
Geometric calculation and spatial reasoning
|
3,529
|
number_theory
|
medium
|
How many factors does 24 have?
|
8
|
6
|
8
|
9
|
7
|
Number theory and modular arithmetic
|
1,409
|
statistics
|
medium
|
Calculate the range of 6 14 9 6
|
8
|
9
|
8
|
11
|
6
|
Statistical measure calculation
|
1,705
|
fractions
|
easy
|
Simplify 21/18
|
7/6
|
22/19
|
10/9
|
20/17
|
7/6
|
Fraction arithmetic and simplification
|
4,163
|
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
True
|
Depends on other variables
|
False
|
Cannot determine
|
Logical reasoning and boolean operations
|
1,009
|
geometry
|
medium
|
What is the volume of a cube with side length 8?
|
512
|
512
|
527
|
492
|
547
|
Geometric calculation and spatial reasoning
|
4,526
|
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
5
|
6
|
3
|
4
|
Vector operations and matrix calculations
|
2,891
|
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
|
4,525
|
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
6
|
4
|
3
|
5
|
Vector operations and matrix calculations
|
3,620
|
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
4
|
1
|
3
|
2
|
Number theory and modular arithmetic
|
2,743
|
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
√3
|
1
|
0
|
√2
|
Trigonometric functions and identities
|
3,223
|
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
4.5
|
3
|
4
|
Probability calculation and expected value
|
2,590
|
trigonometry
|
easy
|
Find cos(90°)
|
0
|
1
|
-1
|
0
|
0
|
Trigonometric functions and identities
|
1,554
|
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
|
2,363
|
calculus
|
medium
|
What is d/dx(2x^4 - 7x + 1)?
|
8x^3 - 7
|
8x^4 - 7
|
2x^3 - 7
|
8x^3 - 7
|
8x^3 - 1
|
Calculus differentiation and integration
|
460
|
algebra
|
easy
|
Solve for x: x + 11 = 16
|
5
|
3
|
5
|
8
|
6
|
Algebraic manipulation and solving
|
662
|
algebra
|
medium
|
Find x: x² = 49
|
7
|
10
|
5
|
8
|
7
|
Algebraic manipulation and solving
|
3,688
|
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
2
|
3
|
4
|
1
|
Number theory and modular arithmetic
|
2,533
|
trigonometry
|
easy
|
What is sin(60°)?
|
0.87
|
0.87
|
0
|
-1
|
1
|
Trigonometric functions and identities
|
1,867
|
fractions
|
medium
|
Divide 1/2 ÷ 2/7
|
7/4
|
7/5
|
7/4
|
4/7
|
8/4
|
Fraction arithmetic and simplification
|
3,645
|
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
2
|
3
|
1
|
4
|
Number theory and modular arithmetic
|
351
|
arithmetic
|
hard
|
Calculate (4^4 × 3) ÷ 7
|
109
|
109
|
117
|
104
|
112
|
Standard arithmetic calculation
|
164
|
arithmetic
|
medium
|
Calculate 156 ÷ 12
|
13
|
11
|
14
|
13
|
16
|
Standard arithmetic calculation
|
2,916
|
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
|
3,152
|
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/15
|
1/14
|
1/13
|
1/12
|
Probability calculation and expected value
|
3,231
|
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4
|
3.5
|
3
|
4.5
|
Probability calculation and expected value
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.