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 |
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