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 |
|---|---|---|---|---|---|---|---|---|---|
785 |
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
|
2,692 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
√2
|
1
|
0
|
√3
|
Trigonometric functions and identities
|
1,753 |
fractions
|
easy
|
Simplify 48/54
|
8/9
|
24/27
|
47/53
|
8/9
|
49/55
|
Fraction arithmetic and simplification
|
3,213 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4
|
3.5
|
4.5
|
3
|
Probability calculation and expected value
|
3,199 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
3
|
4.5
|
4
|
Probability calculation and expected value
|
2,697 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
1
|
0
|
√3
|
√2
|
Trigonometric functions and identities
|
2,479 |
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
|
195 |
arithmetic
|
medium
|
What is 10²?
|
100
|
100
|
115
|
108
|
90
|
Standard arithmetic calculation
|
2,710 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
√3
|
√2
|
0
|
1
|
Trigonometric functions and identities
|
3,198 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
4
|
3.5
|
4.5
|
Probability calculation and expected value
|
4,027 |
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
|
Cannot determine
|
P is false
|
Logical reasoning and boolean operations
|
2,665 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
√3
|
1
|
0
|
√2
|
Trigonometric functions and identities
|
1,360 |
statistics
|
easy
|
Find the median of 6 2 9 16 9 16 13
|
9
|
7
|
9
|
10
|
11
|
Statistical measure calculation
|
4,680 |
combinatorics
|
easy
|
How many ways can 4 people stand in a line?
|
24
|
16
|
8
|
6
|
24
|
Permutations and combinations
|
246 |
arithmetic
|
medium
|
What is 11²?
|
121
|
111
|
121
|
136
|
129
|
Standard arithmetic calculation
|
2,124 |
calculus
|
easy
|
What is the derivative of x²?
|
2x
|
2x²
|
2x
|
x²
|
x
|
Calculus differentiation and integration
|
2,282 |
calculus
|
medium
|
What is d/dx(5x^2 - 4x + 1)?
|
10x^1 - 4
|
10x^1 - 4
|
5x^1 - 4
|
10x^1 - 1
|
10x^2 - 4
|
Calculus differentiation and integration
|
4,156 |
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
|
False
|
True
|
Logical reasoning and boolean operations
|
1,949 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/3
|
0/2
|
1/2
|
Fraction arithmetic and simplification
|
3,315 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
4
|
3
|
3.5
|
4.5
|
Probability calculation and expected value
|
382 |
arithmetic
|
hard
|
Calculate (4^3 × 2) ÷ 4
|
32
|
35
|
40
|
27
|
32
|
Standard arithmetic calculation
|
1,432 |
statistics
|
medium
|
Calculate the range of 15 16 3 4 2
|
14
|
17
|
12
|
15
|
14
|
Statistical measure calculation
|
102 |
arithmetic
|
easy
|
Calculate 50 - 46
|
4
|
3
|
5
|
6
|
4
|
Standard arithmetic calculation
|
1,724 |
fractions
|
easy
|
What is 1/2 + 1/6?
|
2/3
|
3/3
|
2/4
|
2/3
|
1/3
|
Fraction arithmetic and simplification
|
2,712 |
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
0
|
2
|
sin(2x)
|
1
|
Trigonometric functions and identities
|
1,989 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
1/3
|
2/2
|
0/2
|
Fraction arithmetic and simplification
|
616 |
algebra
|
medium
|
Find x: x² = 25
|
5
|
3
|
6
|
5
|
8
|
Algebraic manipulation and solving
|
4,786 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
60
|
75
|
50
|
125
|
Permutations and combinations
|
2,037 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/3
|
1/2
|
0/2
|
Fraction arithmetic and simplification
|
391 |
arithmetic
|
hard
|
Calculate (5^4 × 4) ÷ 7
|
357
|
365
|
360
|
357
|
352
|
Standard arithmetic calculation
|
267 |
arithmetic
|
medium
|
What is 15% of 165?
|
24
|
34
|
24
|
29
|
19
|
Standard arithmetic calculation
|
661 |
algebra
|
medium
|
Solve: 6x - 11 = 15
|
4
|
7
|
5
|
2
|
4
|
Algebraic manipulation and solving
|
4,011 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is true
|
Cannot determine
|
Q is false
|
P is false
|
Logical reasoning and boolean operations
|
153 |
arithmetic
|
medium
|
Calculate 182 ÷ 14
|
13
|
14
|
16
|
13
|
11
|
Standard arithmetic calculation
|
996 |
geometry
|
medium
|
What is the volume of a cube with side length 5?
|
125
|
105
|
140
|
125
|
160
|
Geometric calculation and spatial reasoning
|
217 |
arithmetic
|
medium
|
What is 15% of 341?
|
51
|
61
|
51
|
56
|
46
|
Standard arithmetic calculation
|
1,112 |
geometry
|
medium
|
Find the area of a circle with radius 4 (use π ≈ 3.14)
|
50.27
|
52.07
|
47.77
|
53.47
|
50.27
|
Geometric calculation and spatial reasoning
|
11 |
arithmetic
|
easy
|
What is 25 + 59?
|
84
|
87
|
84
|
85
|
82
|
Standard arithmetic calculation
|
970 |
geometry
|
easy
|
What is the area of a rectangle with length 9 and width 6?
|
54
|
62
|
57
|
49
|
54
|
Geometric calculation and spatial reasoning
|
2,948 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
8
|
6
|
7
|
5
|
Probability calculation and expected value
|
3,517 |
number_theory
|
medium
|
How many factors does 24 have?
|
8
|
6
|
8
|
9
|
7
|
Number theory and modular arithmetic
|
451 |
algebra
|
easy
|
What is 3x when x = 4?
|
12
|
17
|
14
|
12
|
9
|
Algebraic manipulation and solving
|
3,120 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/12
|
1/15
|
1/14
|
1/13
|
Probability calculation and expected value
|
4,339 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
9
|
10
|
11
|
8
|
Vector operations and matrix calculations
|
1,443 |
statistics
|
medium
|
Calculate the range of 4 2 19 4 13
|
17
|
17
|
20
|
15
|
18
|
Statistical measure calculation
|
1,653 |
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
|
2,816 |
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
|
4,702 |
combinatorics
|
easy
|
How many ways can 4 people stand in a line?
|
24
|
16
|
6
|
8
|
24
|
Permutations and combinations
|
3,956 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is false
|
Cannot determine
|
P is false
|
Q is true
|
Logical reasoning and boolean operations
|
44 |
arithmetic
|
easy
|
Calculate 82 - 48
|
34
|
36
|
33
|
35
|
34
|
Standard arithmetic calculation
|
4,398 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
11
|
9
|
10
|
8
|
Vector operations and matrix calculations
|
45 |
arithmetic
|
easy
|
Calculate 49 - 24
|
25
|
27
|
24
|
25
|
26
|
Standard arithmetic calculation
|
2,251 |
calculus
|
medium
|
What is d/dx(4x^3 - 6x + 1)?
|
12x^2 - 6
|
12x^3 - 6
|
12x^2 - 1
|
12x^2 - 6
|
4x^2 - 6
|
Calculus differentiation and integration
|
1,657 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.54
|
1.74
|
2.94
|
2.24
|
Statistical measure calculation
|
3,777 |
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
|
4,856 |
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
|
4,591 |
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
8
|
5
|
6
|
4
|
Permutations and combinations
|
277 |
arithmetic
|
medium
|
What is 25% of 387?
|
96
|
106
|
91
|
96
|
101
|
Standard arithmetic calculation
|
1,502 |
statistics
|
medium
|
Calculate the range of 16 14 5 15 17 4 3 14
|
14
|
15
|
17
|
12
|
14
|
Statistical measure calculation
|
4,155 |
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
|
2,433 |
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
|
2,946 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
5
|
7
|
8
|
6
|
Probability calculation and expected value
|
3,804 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
animal
|
cat
|
mammal
|
pet
|
Logical reasoning and boolean operations
|
1,804 |
fractions
|
easy
|
Simplify 12/18
|
2/3
|
13/19
|
2/3
|
11/17
|
6/9
|
Fraction arithmetic and simplification
|
1,523 |
statistics
|
medium
|
Calculate the range of 12 2 15 19 10 20 5 20
|
18
|
16
|
18
|
21
|
19
|
Statistical measure calculation
|
1,065 |
geometry
|
medium
|
Find the area of a circle with radius 3 (use π ≈ 3.14)
|
28.27
|
28.27
|
31.47
|
30.07
|
25.77
|
Geometric calculation and spatial reasoning
|
230 |
arithmetic
|
medium
|
Calculate 266 ÷ 14
|
19
|
20
|
17
|
19
|
22
|
Standard arithmetic calculation
|
3,048 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
6
|
7
|
8
|
5
|
Probability calculation and expected value
|
433 |
algebra
|
easy
|
Solve for x: x + 15 = 27
|
12
|
15
|
10
|
13
|
12
|
Algebraic manipulation and solving
|
3,236 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3
|
4.5
|
4
|
3.5
|
Probability calculation and expected value
|
3,554 |
number_theory
|
medium
|
How many factors does 36 have?
|
9
|
7
|
10
|
9
|
8
|
Number theory and modular arithmetic
|
648 |
algebra
|
medium
|
Solve: 2x - 14 = 17
|
15
|
18
|
13
|
15
|
16
|
Algebraic manipulation and solving
|
2,749 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
0
|
√2
|
√3
|
1
|
Trigonometric functions and identities
|
748 |
algebra
|
hard
|
Solve: x² + -8x + 16 = 0
|
x = 4 or x = 4
|
x = 3 or x = 5
|
x = 4 or x = 4
|
x = -4 or x = -4
|
x = 5 or x = 3
|
Algebraic manipulation and solving
|
74 |
arithmetic
|
easy
|
What is 76 + 15?
|
91
|
91
|
94
|
92
|
89
|
Standard arithmetic calculation
|
2,776 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
0
|
1
|
√2
|
√3
|
Trigonometric functions and identities
|
4,025 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is false
|
Cannot determine
|
P is false
|
Q is true
|
Logical reasoning and boolean operations
|
4,481 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
4
|
3
|
5
|
6
|
Vector operations and matrix calculations
|
2,193 |
calculus
|
easy
|
Find d/dx(x^3)
|
3x^2
|
3x^2
|
3x^3
|
x^2
|
x^3
|
Calculus differentiation and integration
|
536 |
algebra
|
easy
|
What is 6x when x = 9?
|
54
|
51
|
54
|
59
|
56
|
Algebraic manipulation and solving
|
1,897 |
fractions
|
medium
|
Divide 5/6 ÷ 4/3
|
5/8
|
5/8
|
6/8
|
5/9
|
8/5
|
Fraction arithmetic and simplification
|
2,210 |
calculus
|
easy
|
Find ∫x dx
|
x²/2 + C
|
x²/2 + C
|
x + C
|
x³/3 + C
|
x²
|
Calculus differentiation and integration
|
2,077 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/3
|
0/2
|
1/2
|
Fraction arithmetic and simplification
|
3,880 |
logic
|
easy
|
If all cats are mammals and Fluffy is a cat, then Fluffy is a:
|
mammal
|
cat
|
animal
|
mammal
|
pet
|
Logical reasoning and boolean operations
|
4 |
arithmetic
|
easy
|
Calculate 59 - 15
|
44
|
46
|
44
|
43
|
45
|
Standard arithmetic calculation
|
692 |
algebra
|
medium
|
Solve: 2x - 5 = 18
|
11
|
11
|
9
|
14
|
12
|
Algebraic manipulation and solving
|
649 |
algebra
|
medium
|
Find x: x² = 16
|
4
|
5
|
7
|
2
|
4
|
Algebraic manipulation and solving
|
4,453 |
linear_algebra
|
hard
|
Find the determinant of matrix [[2, 3], [1, 4]]
|
5
|
3
|
4
|
6
|
5
|
Vector operations and matrix calculations
|
939 |
geometry
|
easy
|
How many sides does a hexagon have?
|
6
|
5
|
6
|
7
|
8
|
Geometric calculation and spatial reasoning
|
1,618 |
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
|
4,004 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is true
|
Cannot determine
|
Q is false
|
P is false
|
Logical reasoning and boolean operations
|
2,883 |
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
|
1,736 |
fractions
|
easy
|
What is 1/3 + 1/4?
|
7/12
|
7/13
|
6/12
|
7/12
|
8/12
|
Fraction arithmetic and simplification
|
3,043 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
6
|
7
|
5
|
8
|
Probability calculation and expected value
|
1,317 |
statistics
|
easy
|
Find the median of 15 18 10 7 3 18 14 20
|
14.5
|
15.5
|
14.5
|
16.5
|
12.5
|
Statistical measure calculation
|
3,715 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
2
|
3
|
1
|
4
|
Number theory and modular arithmetic
|
1,411 |
statistics
|
medium
|
Calculate the range of 18 3 17 10
|
15
|
18
|
16
|
13
|
15
|
Statistical measure calculation
|
1,574 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
1.74
|
2.24
|
2.54
|
2.94
|
Statistical measure calculation
|
1,957 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
1/2
|
1/3
|
0/2
|
Fraction arithmetic and simplification
|
371 |
arithmetic
|
hard
|
Calculate (5^4 × 2) ÷ 4
|
312
|
312
|
315
|
320
|
307
|
Standard arithmetic calculation
|
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