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 |
|---|---|---|---|---|---|---|---|---|---|
2,406 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | 2x cos(x²) | cos(x²) | Calculus differentiation and integration |
373 | arithmetic | hard | Calculate (4^3 × 3) ÷ 7 | 27 | 30 | 22 | 35 | 27 | Standard arithmetic calculation |
4,214 | linear_algebra | easy | Calculate 4 × [2, 3] | [8, 12] | [8, 11] | [8, 12] | [9, 12] | [7, 12] | Vector operations and matrix calculations |
3,224 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 3.5 | 4.5 | 4 | Probability calculation and expected value |
720 | 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 |
3,459 | number_theory | easy | What is the GCD of 14 and 21? | 7 | 7 | 5 | 8 | 6 | Number theory and modular arithmetic |
1,972 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 2/2 | 1/2 | 0/2 | Fraction arithmetic and simplification |
2,035 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 2/2 | 0/2 | 1/3 | Fraction arithmetic and simplification |
4,253 | linear_algebra | easy | Calculate 2 × [2, 3] | [4, 6] | [4, 6] | [5, 6] | [3, 6] | [4, 5] | Vector operations and matrix calculations |
4,706 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 10 | 25 | 120 | 24 | Permutations and combinations |
4,957 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 24 | 120 | 60 | 48 | Permutations and combinations |
2,792 | 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 |
4,068 | 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 |
3,979 | logic | medium | What is NOT(True AND False)? | True | True | Cannot determine | False | Depends on values | Logical reasoning and boolean operations |
2,384 | 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 |
2,623 | trigonometry | easy | What is sin(60°)? | 0.87 | 0.87 | 0 | 1 | -1 | Trigonometric functions and identities |
4,881 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 24 | 120 | 60 | 48 | Permutations and combinations |
1,640 | 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 |
1,439 | statistics | medium | Calculate the range of 2 4 20 4 12 19 | 18 | 18 | 16 | 21 | 19 | Statistical measure calculation |
18 | arithmetic | easy | What is 72 + 82? | 154 | 155 | 152 | 157 | 154 | Standard arithmetic calculation |
141 | arithmetic | medium | Calculate 135 ÷ 9 | 15 | 16 | 13 | 18 | 15 | Standard arithmetic calculation |
2,352 | calculus | medium | What is d/dx(3x^4 - 6x + 1)? | 12x^3 - 6 | 12x^4 - 6 | 12x^3 - 1 | 3x^3 - 6 | 12x^3 - 6 | Calculus differentiation and integration |
1,486 | statistics | medium | Calculate the range of 17 12 4 11 14 7 13 | 13 | 16 | 13 | 14 | 11 | Statistical measure calculation |
1,275 | statistics | easy | What is the mean of 9 6 6 14 3? | 7.6 | 5.6 | 7.6 | 9.6 | 8.6 | Statistical measure calculation |
4,247 | linear_algebra | easy | Calculate 5 × [2, 3] | [10, 15] | [9, 15] | [11, 15] | [10, 15] | [10, 14] | Vector operations and matrix calculations |
2,951 | 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 |
4,006 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is false | Cannot determine | Q is true | P is false | Logical reasoning and boolean operations |
2,448 | 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 |
4,792 | 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 |
3,382 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 6 | 4 | 3 | 5 | Number theory and modular arithmetic |
140 | arithmetic | medium | What is 15% of 123? | 18 | 18 | 23 | 28 | 13 | Standard arithmetic calculation |
3,218 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4.5 | 3.5 | 4 | Probability calculation and expected value |
1,567 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 1.74 | 2.24 | 2.54 | Statistical measure calculation |
1,306 | statistics | easy | What is the mean of 3 17 13 16 9 12 5? | 10.7 | 12.7 | 8.7 | 11.7 | 10.7 | Statistical measure calculation |
913 | geometry | easy | What is the area of a rectangle with length 9 and width 8? | 72 | 80 | 67 | 72 | 75 | Geometric calculation and spatial reasoning |
38 | arithmetic | easy | Find 7 × 12 | 84 | 84 | 86 | 81 | 89 | Standard arithmetic calculation |
3,998 | logic | medium | What is NOT(True AND False)? | True | False | Cannot determine | Depends on values | True | Logical reasoning and boolean operations |
4,565 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 5 | 4 | 3 | Vector operations and matrix calculations |
1,814 | fractions | medium | Divide 5/3 ÷ 4/5 | 25/12 | 12/25 | 25/13 | 25/12 | 26/12 | Fraction arithmetic and simplification |
3,711 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 3 | 2 | 4 | Number theory and modular arithmetic |
956 | geometry | easy | What is the area of a rectangle with length 7 and width 9? | 63 | 71 | 63 | 66 | 58 | Geometric calculation and spatial reasoning |
1,781 | fractions | easy | Simplify 42/18 | 7/3 | 21/9 | 43/19 | 7/3 | 41/17 | Fraction arithmetic and simplification |
4,159 | 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 |
550 | algebra | easy | What is 8x when x = 3? | 24 | 29 | 26 | 24 | 21 | Algebraic manipulation and solving |
4,522 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 6 | 3 | Vector operations and matrix calculations |
2,515 | trigonometry | easy | Find cos(90°) | 0 | 0 | 1 | 0 | -1 | Trigonometric functions and identities |
505 | algebra | easy | Solve for x: x + 10 = 16 | 6 | 9 | 7 | 4 | 6 | Algebraic manipulation and solving |
4,230 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 7] | [4, 7] | [2, 7] | [3, 6] | Vector operations and matrix calculations |
1,174 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 4 | 6 | 5 | 3 | Geometric calculation and spatial reasoning |
969 | geometry | easy | How many sides does a pentagon have? | 5 | 5 | 7 | 6 | 4 | Geometric calculation and spatial reasoning |
4,495 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 3 | 6 | 4 | Vector operations and matrix calculations |
4,341 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 8 | 10 | 9 | Vector operations and matrix calculations |
3,782 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Depends on context | Cannot determine | False | True | Logical reasoning and boolean operations |
1,648 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 1.74 | 2.24 | 2.54 | Statistical measure calculation |
1,206 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 5 | 4 | 3 | 6 | Geometric calculation and spatial reasoning |
300 | arithmetic | hard | Calculate (6^4 × 2) ÷ 3 | 864 | 872 | 859 | 867 | 864 | Standard arithmetic calculation |
2,460 | 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 |
4,084 | 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 |
3,326 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4 | 3.5 | 4.5 | Probability calculation and expected value |
2,064 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 0/2 | 1/3 | Fraction arithmetic and simplification |
1,620 | 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 |
410 | arithmetic | hard | Calculate (4^3 × 2) ÷ 7 | 18 | 13 | 18 | 21 | 26 | Standard arithmetic calculation |
3,775 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | Depends on context | True | False | Logical reasoning and boolean operations |
4,060 | 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 |
1,135 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 15 | 14 | 16 | 13 | Geometric calculation and spatial reasoning |
1,994 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 2/2 | 0/2 | Fraction arithmetic and simplification |
1,997 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 1/2 | 0/2 | 2/2 | Fraction arithmetic and simplification |
4,582 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 3 | 5 | 4 | Vector operations and matrix calculations |
380 | arithmetic | hard | Calculate (4^3 × 2) ÷ 3 | 42 | 42 | 45 | 50 | 37 | Standard arithmetic calculation |
4,572 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 3 | 6 | 4 | Vector operations and matrix calculations |
3,055 | 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 |
4,689 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 5 | 8 | 4 | Permutations and combinations |
3,724 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 3 | 2 | 4 | Number theory and modular arithmetic |
1,013 | geometry | medium | What is the volume of a cube with side length 9? | 729 | 709 | 729 | 764 | 744 | Geometric calculation and spatial reasoning |
2,320 | calculus | medium | What is d/dx(4x^4 - 7x + 1)? | 16x^3 - 7 | 4x^3 - 7 | 16x^4 - 7 | 16x^3 - 7 | 16x^3 - 1 | Calculus differentiation and integration |
1,875 | fractions | medium | Calculate 2/3 × 5/8 | 5/12 | 5/12 | 5/13 | 12/5 | 6/12 | Fraction arithmetic and simplification |
167 | arithmetic | medium | What is 20% of 360? | 72 | 77 | 67 | 82 | 72 | Standard arithmetic calculation |
4,162 | 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 |
3,945 | logic | medium | What is NOT(True AND False)? | True | False | True | Depends on values | Cannot determine | Logical reasoning and boolean operations |
4,599 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 4 | 8 | 5 | Permutations and combinations |
3,530 | number_theory | medium | Find LCM of 12 and 16 | 48 | 63 | 53 | 38 | 48 | Number theory and modular arithmetic |
1,455 | statistics | medium | Calculate the range of 9 13 17 7 15 5 18 | 13 | 16 | 13 | 11 | 14 | Statistical measure calculation |
1,125 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 14 | 16 | 15 | 13 | Geometric calculation and spatial reasoning |
4,861 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 60 | 50 | 125 | Permutations and combinations |
4,515 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 3 | 4 | 6 | Vector operations and matrix calculations |
262 | arithmetic | medium | What is 10²? | 100 | 100 | 115 | 90 | 108 | Standard arithmetic calculation |
1,130 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 6 | 3 | 4 | 5 | Geometric calculation and spatial reasoning |
634 | algebra | medium | Solve: 6x - 8 = 25 | 5 | 3 | 6 | 5 | 8 | Algebraic manipulation and solving |
1,634 | 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 |
2,653 | trigonometry | medium | What is tan(45°)? | 1 | √3 | √2 | 1 | 0 | Trigonometric functions and identities |
9 | arithmetic | easy | What is 73 + 24? | 97 | 97 | 98 | 95 | 100 | Standard arithmetic calculation |
1,295 | statistics | easy | Find the median of 11 13 20 10 3 19 20 14 | 13.5 | 13.5 | 11.5 | 14.5 | 15.5 | Statistical measure calculation |
2,494 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | 2x cos(x²) | cos(x²) | Calculus differentiation and integration |
103 | arithmetic | easy | Find 5 × 5 | 25 | 27 | 22 | 30 | 25 | Standard arithmetic calculation |
683 | algebra | medium | Find x: x² = 100 | 10 | 10 | 8 | 13 | 11 | Algebraic manipulation and solving |
3,240 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 3 | 4.5 | Probability calculation and expected value |
1,656 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 2.94 | 1.74 | 2.24 | Statistical measure calculation |
2,739 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 1 | 0 | 2 | Trigonometric functions and identities |
4,747 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 125 | 60 | 75 | Permutations and combinations |
2,706 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | 1 | sin(2x) | 2 | Trigonometric functions and identities |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.