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 |
|---|---|---|---|---|---|---|---|---|---|
3,558 | number_theory | medium | How many factors does 36 have? | 9 | 7 | 10 | 9 | 8 | Number theory and modular arithmetic |
1,353 | statistics | easy | What is the mean of 8 18 10 3 12 20 17 7? | 11.9 | 9.9 | 11.9 | 13.9 | 12.9 | Statistical measure calculation |
4,457 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 3 | 5 | 4 | Vector operations and matrix calculations |
4,478 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 3 | 6 | Vector operations and matrix calculations |
3,440 | number_theory | easy | What is the GCD of 12 and 18? | 6 | 5 | 6 | 4 | 7 | Number theory and modular arithmetic |
606 | algebra | medium | Solve: 3x - 10 = 14 | 8 | 8 | 9 | 6 | 11 | Algebraic manipulation and solving |
4,769 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 60 | 75 | 125 | Permutations and combinations |
4,442 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 10 | 11 | 9 | Vector operations and matrix calculations |
4,751 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 75 | 125 | 60 | Permutations and combinations |
2,469 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(x²) | cos(2x) | 2x sin(x²) | Calculus differentiation and integration |
3,356 | number_theory | easy | Is 13 a prime number? | Yes | No | Cannot determine | Only if x>0 | Yes | Number theory and modular arithmetic |
943 | geometry | easy | What is the area of a rectangle with length 10 and width 9? | 90 | 98 | 85 | 90 | 93 | Geometric calculation and spatial reasoning |
2,133 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^4 | 5x^5 | 5x^4 | x^5 | Calculus differentiation and integration |
3,473 | number_theory | easy | Is 31 a prime number? | Yes | Yes | No | Only if x>0 | Cannot determine | Number theory and modular arithmetic |
3,586 | number_theory | medium | How many factors does 30 have? | 8 | 6 | 8 | 7 | 9 | Number theory and modular arithmetic |
1,975 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/2 | 1/3 | 2/2 | Fraction arithmetic and simplification |
4,801 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 50 | 60 | 75 | Permutations and combinations |
4,629 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 5 | 6 | 4 | 8 | Permutations and combinations |
4,146 | 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 |
2,950 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/2 | 1/4 | 2/3 | 1/3 | Probability calculation and expected value |
2,507 | trigonometry | easy | What is sin(45°)? | 0.71 | 1 | 0 | 0.71 | -1 | Trigonometric functions and identities |
835 | geometry | easy | How many sides does a heptagon have? | 7 | 9 | 6 | 7 | 8 | Geometric calculation and spatial reasoning |
1,596 | 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 |
3,591 | number_theory | medium | How many factors does 36 have? | 9 | 10 | 9 | 8 | 7 | Number theory and modular arithmetic |
3,774 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Depends on context | Cannot determine | True | False | Logical reasoning and boolean operations |
2,813 | 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 |
1,512 | statistics | medium | What is the mode of 11 11 16 11 7 20 6? | 11 | 11 | 14 | 9 | 12 | Statistical measure calculation |
2,555 | trigonometry | easy | What is sin(45°)? | 0.71 | 1 | 0 | -1 | 0.71 | Trigonometric functions and identities |
1,370 | statistics | easy | What is the mean of 4 20 14 5? | 10.8 | 10.8 | 8.8 | 11.8 | 12.8 | Statistical measure calculation |
456 | algebra | easy | What is 4x when x = 4? | 16 | 13 | 18 | 21 | 16 | Algebraic manipulation and solving |
4,536 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 3 | 6 | Vector operations and matrix calculations |
3,396 | number_theory | easy | What is the GCD of 8 and 12? | 4 | 5 | 2 | 4 | 3 | Number theory and modular arithmetic |
4,263 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [3, 7] | [4, 7] | [2, 7] | Vector operations and matrix calculations |
2,175 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^5 | x^4 | 5x^5 | 5x^4 | Calculus differentiation and integration |
2,908 | 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 |
4,322 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 8 | 10 | Vector operations and matrix calculations |
248 | arithmetic | medium | Calculate 120 ÷ 12 | 10 | 11 | 10 | 13 | 8 | Standard arithmetic calculation |
3,361 | number_theory | easy | Is 31 a prime number? | Yes | Cannot determine | Only if x>0 | Yes | No | Number theory and modular arithmetic |
3,560 | number_theory | medium | How many factors does 24 have? | 8 | 6 | 7 | 8 | 9 | Number theory and modular arithmetic |
3,468 | number_theory | easy | Is 23 a prime number? | Yes | Yes | Only if x>0 | Cannot determine | No | Number theory and modular arithmetic |
418 | algebra | easy | What is 6x when x = 9? | 54 | 56 | 54 | 59 | 51 | Algebraic manipulation and solving |
2,730 | trigonometry | medium | What is tan(45°)? | 1 | √2 | √3 | 0 | 1 | Trigonometric functions and identities |
4,037 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | True | Cannot determine | False | Depends on other variables | Logical reasoning and boolean operations |
2,405 | 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 |
3,394 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 6 | 4 | 3 | 5 | Number theory and modular arithmetic |
4,562 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 4 | 5 | 6 | Vector operations and matrix calculations |
4,073 | 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 |
3,590 | number_theory | medium | How many factors does 30 have? | 8 | 6 | 7 | 8 | 9 | Number theory and modular arithmetic |
3,487 | number_theory | medium | How many factors does 30 have? | 8 | 9 | 7 | 8 | 6 | Number theory and modular arithmetic |
710 | 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 |
1,311 | statistics | easy | Find the median of 8 7 17 10 6 17 9 14 | 9.5 | 10.5 | 7.5 | 11.5 | 9.5 | Statistical measure calculation |
2,784 | 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 |
3,618 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 4 | 1 | 2 | Number theory and modular arithmetic |
2,937 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 1/4 | 2/3 | 1/2 | Probability calculation and expected value |
1,802 | fractions | easy | What is 1/3 + 1/3? | 2/3 | 2/3 | 2/4 | 1/3 | 3/3 | Fraction arithmetic and simplification |
3,874 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | True | Cannot determine | Depends on context | False | Logical reasoning and boolean operations |
148 | arithmetic | medium | What is 14²? | 196 | 186 | 196 | 211 | 204 | Standard arithmetic calculation |
778 | algebra | hard | Solve: x² + -11x + 30 = 0 | x = 6 or x = 5 | x = 5 or x = 6 | x = 6 or x = 5 | x = -6 or x = -5 | x = 7 or x = 4 | Algebraic manipulation and solving |
4,587 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 4 | 5 | 8 | Permutations and combinations |
298 | arithmetic | hard | Calculate (5^4 × 4) ÷ 7 | 357 | 357 | 360 | 365 | 352 | Standard arithmetic calculation |
4,642 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 12 | 720 | 36 | 120 | Permutations and combinations |
1,442 | statistics | medium | Calculate the range of 6 9 10 5 16 20 | 15 | 15 | 16 | 13 | 18 | Statistical measure calculation |
106 | arithmetic | easy | Calculate 77 - 16 | 61 | 62 | 61 | 63 | 60 | Standard arithmetic calculation |
2,390 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(x²) | 2x sin(x²) | cos(2x) | Calculus differentiation and integration |
1,691 | fractions | easy | Simplify 48/54 | 8/9 | 8/9 | 24/27 | 49/55 | 47/53 | Fraction arithmetic and simplification |
3,108 | 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 |
1,810 | fractions | medium | Divide 3/4 ÷ 2/3 | 9/8 | 8/9 | 9/9 | 10/8 | 9/8 | Fraction arithmetic and simplification |
3,534 | number_theory | medium | How many factors does 36 have? | 9 | 9 | 8 | 7 | 10 | Number theory and modular arithmetic |
2,910 | 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 |
3,395 | number_theory | easy | Is 19 a prime number? | Yes | Cannot determine | No | Only if x>0 | Yes | Number theory and modular arithmetic |
1,239 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 18 | 16 | 17 | 15 | Geometric calculation and spatial reasoning |
174 | arithmetic | medium | Calculate 182 ÷ 14 | 13 | 16 | 13 | 14 | 11 | Standard arithmetic calculation |
4,546 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 3 | 6 | Vector operations and matrix calculations |
2,996 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/4 | 1/3 | 2/3 | 1/2 | Probability calculation and expected value |
4,724 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 60 | 75 | 50 | Permutations and combinations |
2,925 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 2/3 | 1/4 | 1/3 | 1/2 | Probability calculation and expected value |
3,803 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | Cannot determine | Depends on context | True | Logical reasoning and boolean operations |
1,707 | fractions | easy | Simplify 35/20 | 7/4 | 34/19 | 36/21 | 17/10 | 7/4 | Fraction arithmetic and simplification |
1,895 | fractions | medium | Divide 2/5 ÷ 1/2 | 4/5 | 4/5 | 4/6 | 5/4 | 5/5 | Fraction arithmetic and simplification |
3,100 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/35 | 1/30 | 1/32 | 1/36 | Probability calculation and expected value |
4,389 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 11 | 8 | 9 | Vector operations and matrix calculations |
3,527 | number_theory | medium | Find LCM of 9 and 15 | 45 | 60 | 50 | 45 | 35 | Number theory and modular arithmetic |
4,169 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 7] | [4, 7] | [3, 6] | [2, 7] | Vector operations and matrix calculations |
579 | algebra | medium | Solve: 3x - 14 = 11 | 8 | 11 | 9 | 6 | 8 | Algebraic manipulation and solving |
2,652 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | 1 | 2 | sin(2x) | Trigonometric functions and identities |
261 | arithmetic | medium | Calculate 112 ÷ 14 | 8 | 11 | 9 | 8 | 6 | Standard arithmetic calculation |
4,285 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [2, 7] | [3, 7] | [3, 6] | [4, 7] | Vector operations and matrix calculations |
761 | algebra | hard | Solve: x² + -8x + 15 = 0 | x = 5 or x = 3 | x = 4 or x = 4 | x = 5 or x = 3 | x = -5 or x = -3 | x = 6 or x = 2 | Algebraic manipulation and solving |
1,659 | 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 |
4,798 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 125 | 60 | 50 | Permutations and combinations |
1,598 | 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 |
1,335 | statistics | easy | Find the median of 16 14 11 17 | 15 | 15 | 17 | 16 | 13 | Statistical measure calculation |
1,532 | 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 |
108 | arithmetic | easy | Calculate 57 - 42 | 15 | 17 | 16 | 15 | 14 | Standard arithmetic calculation |
1,528 | statistics | medium | Calculate the range of 15 12 13 8 12 7 7 | 8 | 8 | 6 | 11 | 9 | Statistical measure calculation |
1,983 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 2/2 | 0/2 | Fraction arithmetic and simplification |
457 | algebra | easy | Solve for x: x + 5 = 9 | 4 | 7 | 2 | 5 | 4 | Algebraic manipulation and solving |
2,774 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | 2 | 1 | sin(2x) | Trigonometric functions and identities |
2,332 | 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 |
3,036 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/4 | 1/3 | 2/3 | 1/2 | Probability calculation and expected value |
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