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 |
|---|---|---|---|---|---|---|---|---|---|
2,012 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 0/2 | 2/2 | Fraction arithmetic and simplification |
2,920 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 5 | 8 | 7 | Probability calculation and expected value |
293 | arithmetic | hard | Calculate (6^4 × 2) ÷ 5 | 518 | 513 | 518 | 521 | 526 | Standard arithmetic calculation |
4,009 | logic | medium | What is NOT(True AND False)? | True | False | True | Depends on values | Cannot determine | Logical reasoning and boolean operations |
1,060 | geometry | medium | What is the volume of a cube with side length 5? | 125 | 125 | 140 | 160 | 105 | Geometric calculation and spatial reasoning |
2,307 | calculus | medium | What is d/dx(2x^2 - 6x + 1)? | 4x^1 - 6 | 4x^1 - 1 | 4x^1 - 6 | 4x^2 - 6 | 2x^1 - 6 | Calculus differentiation and integration |
2,648 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | 0 | 2 | sin(2x) | Trigonometric functions and identities |
3,314 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3 | 3.5 | 4.5 | Probability calculation and expected value |
2,089 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^4 | 5x^5 | x^5 | 5x^4 | Calculus differentiation and integration |
1,266 | statistics | easy | What is the mean of 19 14 20 14 17 11 13 6? | 14.2 | 14.2 | 12.2 | 15.2 | 16.2 | Statistical measure calculation |
4,429 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 9 | 10 | 8 | Vector operations and matrix calculations |
2,025 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 1/2 | 0/2 | 2/2 | Fraction arithmetic and simplification |
3,342 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 6 | 3 | 4 | 5 | Number theory and modular arithmetic |
2,795 | 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 |
4,704 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 5 | 6 | 4 | 8 | Permutations and combinations |
4,895 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 48 | 120 | 24 | 60 | Permutations and combinations |
188 | arithmetic | medium | Calculate 266 ÷ 14 | 19 | 19 | 20 | 17 | 22 | Standard arithmetic calculation |
2,407 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | cos(x²) | Calculus differentiation and integration |
4,794 | 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 |
2,324 | calculus | medium | What is d/dx(2x^2 - 7x + 1)? | 4x^1 - 7 | 4x^1 - 1 | 4x^1 - 7 | 4x^2 - 7 | 2x^1 - 7 | Calculus differentiation and integration |
635 | algebra | medium | Solve: 6x - 12 = 18 | 5 | 5 | 3 | 6 | 8 | Algebraic manipulation and solving |
4,066 | 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 |
4,039 | 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 |
4,031 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Depends on other variables | True | False | Cannot determine | Logical reasoning and boolean operations |
948 | geometry | easy | What is the area of a rectangle with length 12 and width 6? | 72 | 75 | 72 | 80 | 67 | Geometric calculation and spatial reasoning |
2,901 | 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 |
2,928 | 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 |
1,847 | fractions | medium | Divide 5/8 ÷ 2/7 | 35/16 | 36/16 | 35/17 | 16/35 | 35/16 | Fraction arithmetic and simplification |
955 | geometry | easy | How many sides does a hexagon have? | 6 | 8 | 6 | 7 | 5 | Geometric calculation and spatial reasoning |
4,492 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 3 | 6 | 5 | Vector operations and matrix calculations |
4,319 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 8 | 10 | 9 | Vector operations and matrix calculations |
3,609 | number_theory | medium | Find LCM of 12 and 16 | 48 | 63 | 48 | 53 | 38 | Number theory and modular arithmetic |
4,026 | logic | medium | What is NOT(True AND False)? | True | Depends on values | True | Cannot determine | False | Logical reasoning and boolean operations |
1,857 | fractions | medium | Calculate 1 × 2/5 | 2/5 | 3/5 | 5/2 | 2/5 | 2/6 | Fraction arithmetic and simplification |
2,724 | trigonometry | medium | What is tan(45°)? | 1 | √2 | 0 | 1 | √3 | Trigonometric functions and identities |
209 | arithmetic | medium | What is 11²? | 121 | 136 | 121 | 129 | 111 | Standard arithmetic calculation |
3,963 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Cannot determine | P is false | Q is true | Q is false | Logical reasoning and boolean operations |
3,000 | 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 |
4,367 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 10 | 8 | Vector operations and matrix calculations |
517 | algebra | easy | What is 2x when x = 3? | 6 | 3 | 11 | 6 | 8 | Algebraic manipulation and solving |
518 | algebra | easy | Solve for x: x + 7 = 17 | 10 | 13 | 11 | 10 | 8 | Algebraic manipulation and solving |
4,568 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 3 | 6 | 4 | Vector operations and matrix calculations |
3,673 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 1 | 3 | 2 | Number theory and modular arithmetic |
3,612 | number_theory | medium | How many factors does 30 have? | 8 | 9 | 8 | 7 | 6 | Number theory and modular arithmetic |
3,324 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4 | 3 | 4.5 | Probability calculation and expected value |
1,289 | statistics | easy | Find the median of 5 9 3 6 20 | 6 | 8 | 7 | 6 | 4 | Statistical measure calculation |
4,147 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | True | Cannot determine | Depends on other variables | Logical reasoning and boolean operations |
447 | algebra | easy | Solve for x: x + 11 = 23 | 12 | 12 | 15 | 13 | 10 | Algebraic manipulation and solving |
4,899 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 24 | 48 | 120 | Permutations and combinations |
2,120 | calculus | easy | What is the derivative of x²? | 2x | 2x² | x | 2x | x² | Calculus differentiation and integration |
495 | algebra | easy | What is 8x when x = 5? | 40 | 37 | 42 | 45 | 40 | Algebraic manipulation and solving |
3,049 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 7 | 5 | 8 | 6 | Probability calculation and expected value |
4,819 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 125 | 75 | 50 | Permutations and combinations |
2,231 | calculus | medium | What is d/dx(3x^2 - 1x + 1)? | 6x^1 - 1 | 6x^1 - 1 | 3x^1 - 1 | 6x^1 - 1 | 6x^2 - 1 | Calculus differentiation and integration |
4,752 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 50 | 125 | 60 | Permutations and combinations |
4,602 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 5 | 8 | 4 | 6 | Permutations and combinations |
2,622 | trigonometry | easy | What is sin(60°)? | 0.87 | 0 | 0.87 | 1 | -1 | Trigonometric functions and identities |
709 | algebra | hard | Solve: x² + -8x + 12 = 0 | x = 2 or x = 6 | x = 1 or x = 7 | x = 2 or x = 6 | x = -2 or x = -6 | x = 3 or x = 5 | Algebraic manipulation and solving |
4,491 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 3 | 4 | 6 | Vector operations and matrix calculations |
136 | arithmetic | easy | Find 12 × 6 | 72 | 72 | 74 | 77 | 69 | Standard arithmetic calculation |
3,197 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/30 | 1/36 | 1/32 | 1/35 | Probability calculation and expected value |
3,034 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 8 | 7 | 5 | 6 | Probability calculation and expected value |
569 | algebra | medium | Solve: 5x - 12 = 15 | 5 | 8 | 5 | 3 | 6 | Algebraic manipulation and solving |
3,516 | number_theory | medium | Find LCM of 15 and 20 | 60 | 65 | 50 | 75 | 60 | Number theory and modular arithmetic |
2,101 | calculus | easy | What is the derivative of x²? | 2x | x² | 2x² | x | 2x | Calculus differentiation and integration |
4,218 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [3, 7] | [3, 6] | [2, 7] | Vector operations and matrix calculations |
1,333 | statistics | easy | Find the median of 5 11 13 8 14 7 18 | 11 | 11 | 12 | 9 | 13 | Statistical measure calculation |
2,315 | calculus | medium | What is d/dx(5x^3 - 2x + 1)? | 15x^2 - 2 | 15x^2 - 1 | 15x^2 - 2 | 5x^2 - 2 | 15x^3 - 2 | Calculus differentiation and integration |
250 | arithmetic | medium | What is 25% of 240? | 60 | 65 | 60 | 70 | 55 | Standard arithmetic calculation |
4,588 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 5 | 6 | 4 | 8 | Permutations and combinations |
1,461 | statistics | medium | Calculate the range of 6 9 10 7 10 5 | 5 | 6 | 8 | 5 | 3 | Statistical measure calculation |
3,617 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 4 | 1 | Number theory and modular arithmetic |
2,592 | trigonometry | easy | What is sin(30°)? | 0.5 | -1 | 0.5 | 1 | 0 | Trigonometric functions and identities |
4,204 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [3, 7] | [2, 7] | [3, 6] | Vector operations and matrix calculations |
3,412 | number_theory | easy | What is the GCD of 8 and 12? | 4 | 5 | 2 | 4 | 3 | Number theory and modular arithmetic |
4,756 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 50 | 75 | 125 | Permutations and combinations |
4,432 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 9 | 11 | 10 | Vector operations and matrix calculations |
911 | geometry | easy | What is the area of a rectangle with length 9 and width 9? | 81 | 81 | 89 | 76 | 84 | Geometric calculation and spatial reasoning |
1,288 | statistics | easy | What is the mean of 11 5 11 19 14 19 5 15? | 12.4 | 13.4 | 10.4 | 12.4 | 14.4 | Statistical measure calculation |
4,529 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 6 | 4 | 3 | Vector operations and matrix calculations |
2,632 | trigonometry | easy | What is sin(0°)? | 0 | 0 | 0 | 1 | -1 | Trigonometric functions and identities |
3,646 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 1 | 3 | 2 | Number theory and modular arithmetic |
1,020 | geometry | medium | What is the volume of a cube with side length 9? | 729 | 709 | 764 | 729 | 744 | Geometric calculation and spatial reasoning |
1,951 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 0/2 | 1/3 | Fraction arithmetic and simplification |
3,372 | number_theory | easy | Is 19 a prime number? | Yes | Yes | No | Cannot determine | Only if x>0 | Number theory and modular arithmetic |
3,966 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is true | P is false | Q is false | Cannot determine | Logical reasoning and boolean operations |
3,426 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 4 | 5 | 6 | 3 | Number theory and modular arithmetic |
4,625 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 10 | 24 | 25 | 120 | Permutations and combinations |
3,038 | 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 |
4,225 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [2, 7] | [4, 7] | [3, 7] | Vector operations and matrix calculations |
397 | arithmetic | hard | Calculate (3^3 × 4) ÷ 6 | 18 | 13 | 21 | 18 | 26 | Standard arithmetic calculation |
2,521 | trigonometry | easy | Find cos(30°) | √3/2 | -1 | 1 | 0 | √3/2 | Trigonometric functions and identities |
4,264 | linear_algebra | easy | Calculate 4 × [2, 3] | [8, 12] | [8, 12] | [8, 11] | [7, 12] | [9, 12] | Vector operations and matrix calculations |
2,827 | 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 |
741 | algebra | hard | Solve: x² + -9x + 18 = 0 | x = 6 or x = 3 | x = 5 or x = 4 | x = 6 or x = 3 | x = -6 or x = -3 | x = 7 or x = 2 | Algebraic manipulation and solving |
3,278 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4.5 | 3 | 4 | Probability calculation and expected value |
2,540 | trigonometry | easy | What is sin(45°)? | 0.71 | 1 | -1 | 0 | 0.71 | Trigonometric functions and identities |
2,807 | 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 |
1,780 | fractions | easy | Simplify 4/12 | 1/3 | 5/13 | 2/6 | 3/11 | 1/3 | Fraction arithmetic and simplification |
4,110 | 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 |
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