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 |
|---|---|---|---|---|---|---|---|---|---|
2,414 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | 2x sin(x²) | cos(x²) | 2x cos(x²) | Calculus differentiation and integration |
2,387 | 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 |
2,119 | calculus | easy | Find d/dx(x^3) | 3x^2 | x^3 | x^2 | 3x^2 | 3x^3 | Calculus differentiation and integration |
2,075 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 0/2 | 2/2 | 1/3 | Fraction arithmetic and simplification |
4,249 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [3, 7] | [2, 7] | [4, 7] | Vector operations and matrix calculations |
3,172 | 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 |
473 | algebra | easy | What is 4x when x = 8? | 32 | 29 | 37 | 34 | 32 | Algebraic manipulation and solving |
3,490 | number_theory | medium | Find LCM of 12 and 16 | 48 | 48 | 53 | 38 | 63 | Number theory and modular arithmetic |
4,450 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 6 | 4 | 3 | Vector operations and matrix calculations |
484 | algebra | easy | What is 3x when x = 4? | 12 | 17 | 9 | 12 | 14 | Algebraic manipulation and solving |
2,276 | calculus | medium | What is d/dx(5x^2 - 5x + 1)? | 10x^1 - 5 | 10x^2 - 5 | 10x^1 - 5 | 10x^1 - 1 | 5x^1 - 5 | Calculus differentiation and integration |
99 | arithmetic | easy | What is 54 + 29? | 83 | 86 | 84 | 81 | 83 | Standard arithmetic calculation |
4,521 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 3 | 5 | 6 | Vector operations and matrix calculations |
4,814 | 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 |
3,089 | 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 |
1,211 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 15 | 14 | 16 | 13 | Geometric calculation and spatial reasoning |
1,483 | statistics | medium | What is the mode of 7 7 2 7 7 10 7? | 7 | 8 | 10 | 5 | 7 | Statistical measure calculation |
850 | geometry | easy | What is the area of a rectangle with length 7 and width 4? | 28 | 28 | 36 | 23 | 31 | Geometric calculation and spatial reasoning |
1,324 | statistics | easy | Find the median of 7 11 2 9 6 17 | 8 | 10 | 9 | 8 | 6 | Statistical measure calculation |
429 | algebra | easy | What is 6x when x = 9? | 54 | 51 | 59 | 56 | 54 | Algebraic manipulation and solving |
721 | algebra | hard | Solve: x² + -13x + 42 = 0 | x = 6 or x = 7 | x = 5 or x = 8 | x = 6 or x = 7 | x = -6 or x = -7 | x = 7 or x = 6 | Algebraic manipulation and solving |
4,108 | 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 |
4,145 | 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 | True | False | Logical reasoning and boolean operations |
819 | algebra | hard | Solve: x² + -10x + 24 = 0 | x = 6 or x = 4 | x = 5 or x = 5 | x = 6 or x = 4 | x = -6 or x = -4 | x = 7 or x = 3 | Algebraic manipulation and solving |
4,537 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
4,761 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 60 | 125 | 75 | Permutations and combinations |
247 | arithmetic | medium | What is 40% of 207? | 82 | 82 | 92 | 77 | 87 | Standard arithmetic calculation |
2,851 | 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 |
4,003 | 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 | Cannot determine | Q is false | Logical reasoning and boolean operations |
2,046 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 1/3 | 0/2 | Fraction arithmetic and simplification |
1,816 | fractions | medium | Divide 2/3 ÷ 4/5 | 5/6 | 6/5 | 5/7 | 6/6 | 5/6 | Fraction arithmetic and simplification |
590 | algebra | medium | Find x: x² = 36 | 6 | 7 | 4 | 9 | 6 | Algebraic manipulation and solving |
255 | arithmetic | medium | What is 20% of 255? | 51 | 61 | 46 | 56 | 51 | Standard arithmetic calculation |
1,803 | fractions | easy | Simplify 20/40 | 1/2 | 21/41 | 19/39 | 10/20 | 1/2 | Fraction arithmetic and simplification |
3,842 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | cat | pet | mammal | animal | Logical reasoning and boolean operations |
3,691 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 2 | 3 | 1 | Number theory and modular arithmetic |
2,729 | trigonometry | medium | What is tan(45°)? | 1 | √3 | 0 | 1 | √2 | Trigonometric functions and identities |
2,417 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | 2x cos(x²) | cos(2x) | cos(x²) | Calculus differentiation and integration |
3,399 | number_theory | easy | What is the GCD of 14 and 21? | 7 | 7 | 5 | 6 | 8 | Number theory and modular arithmetic |
997 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 25.77 | 31.47 | 30.07 | 28.27 | Geometric calculation and spatial reasoning |
161 | arithmetic | medium | What is 8²? | 64 | 54 | 72 | 64 | 79 | Standard arithmetic calculation |
700 | 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 |
1,861 | fractions | medium | Calculate 3/4 × 2/5 | 3/10 | 3/10 | 4/10 | 10/3 | 3/11 | Fraction arithmetic and simplification |
412 | arithmetic | hard | Calculate (3^3 × 2) ÷ 8 | 6 | 1 | 14 | 6 | 9 | Standard arithmetic calculation |
4,981 | 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 |
1,547 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.54 | 2.24 | 2.94 | Statistical measure calculation |
4,530 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 3 | 6 | 4 | Vector operations and matrix calculations |
1,496 | statistics | medium | Calculate the range of 10 13 4 5 18 10 6 | 14 | 12 | 14 | 17 | 15 | Statistical measure calculation |
832 | algebra | hard | Solve: x² + -13x + 42 = 0 | x = 7 or x = 6 | x = 6 or x = 7 | x = 7 or x = 6 | x = -7 or x = -6 | x = 8 or x = 5 | Algebraic manipulation and solving |
4,748 | 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 |
4,597 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 5 | 8 | 4 | Permutations and combinations |
3,533 | number_theory | medium | How many factors does 36 have? | 9 | 10 | 7 | 9 | 8 | Number theory and modular arithmetic |
4,804 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 60 | 50 | 75 | Permutations and combinations |
3,557 | number_theory | medium | Find LCM of 12 and 16 | 48 | 38 | 53 | 48 | 63 | Number theory and modular arithmetic |
4,246 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [2, 7] | [3, 7] | [4, 7] | [3, 6] | Vector operations and matrix calculations |
1,746 | fractions | easy | Simplify 6/24 | 1/4 | 7/25 | 5/23 | 1/4 | 3/12 | Fraction arithmetic and simplification |
4,528 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
2,557 | trigonometry | easy | What is sin(180°)? | 0 | 0 | 0 | 1 | -1 | Trigonometric functions and identities |
1,478 | statistics | medium | Calculate the range of 8 19 6 13 11 | 13 | 11 | 13 | 16 | 14 | Statistical measure calculation |
1,329 | statistics | easy | Find the median of 10 20 17 20 19 18 12 6 | 17.5 | 18.5 | 15.5 | 19.5 | 17.5 | Statistical measure calculation |
1,321 | statistics | easy | Find the median of 10 12 4 8 13 14 14 13 | 12.5 | 10.5 | 13.5 | 14.5 | 12.5 | Statistical measure calculation |
1,011 | geometry | medium | What is the volume of a cube with side length 4? | 64 | 64 | 44 | 79 | 99 | Geometric calculation and spatial reasoning |
815 | algebra | hard | Solve: x² + -9x + 14 = 0 | x = 7 or x = 2 | x = 6 or x = 3 | x = 7 or x = 2 | x = -7 or x = -2 | x = 8 or x = 1 | Algebraic manipulation and solving |
4,839 | 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 |
3,670 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 4 | 3 | 1 | Number theory and modular arithmetic |
1,204 | geometry | hard | Find the hypotenuse of a right triangle with legs 7 and 24 | 25 | 25 | 24 | 26 | 23 | Geometric calculation and spatial reasoning |
3,084 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/32 | 1/30 | 1/35 | 1/36 | Probability calculation and expected value |
3,480 | number_theory | medium | How many factors does 24 have? | 8 | 7 | 9 | 6 | 8 | Number theory and modular arithmetic |
3,296 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4.5 | 4 | 3.5 | Probability calculation and expected value |
2,645 | trigonometry | medium | What is tan(45°)? | 1 | 0 | √2 | √3 | 1 | Trigonometric functions and identities |
4,884 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 48 | 120 | 60 | 24 | Permutations and combinations |
260 | arithmetic | medium | Calculate 132 ÷ 11 | 12 | 15 | 10 | 13 | 12 | Standard arithmetic calculation |
2,866 | 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 |
3,226 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4 | 3.5 | 4.5 | Probability calculation and expected value |
4,148 | 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 | True | False | Logical reasoning and boolean operations |
337 | arithmetic | hard | Calculate (6^3 × 4) ÷ 4 | 216 | 219 | 216 | 211 | 224 | Standard arithmetic calculation |
3,882 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | cat | animal | pet | mammal | Logical reasoning and boolean operations |
2,568 | trigonometry | easy | Find cos(180°) | -1 | 0 | -1 | 1 | -1 | Trigonometric functions and identities |
1,271 | statistics | easy | What is the mean of 2 9 19 18 2? | 10 | 8 | 10 | 12 | 11 | Statistical measure calculation |
4,223 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [3, 7] | [4, 7] | [2, 7] | Vector operations and matrix calculations |
676 | algebra | medium | Solve: 5x - 10 = 19 | 5 | 6 | 8 | 5 | 3 | Algebraic manipulation and solving |
3,222 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4 | 3 | 4.5 | Probability calculation and expected value |
4,351 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 10 | 9 | 11 | Vector operations and matrix calculations |
2,994 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/4 | 2/3 | 1/3 | 1/2 | Probability calculation and expected value |
21 | arithmetic | easy | Find 5 × 12 | 60 | 60 | 62 | 65 | 57 | Standard arithmetic calculation |
622 | algebra | medium | Solve: 3x - 5 = 24 | 9 | 12 | 7 | 10 | 9 | Algebraic manipulation and solving |
4,875 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 48 | 120 | 60 | 24 | Permutations and combinations |
3,588 | number_theory | medium | How many factors does 36 have? | 9 | 10 | 7 | 8 | 9 | Number theory and modular arithmetic |
4,542 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 4 | 3 | 5 | Vector operations and matrix calculations |
1,404 | statistics | medium | What is the mode of 10 10 2 9 4 10 8? | 10 | 10 | 8 | 11 | 13 | Statistical measure calculation |
269 | arithmetic | medium | What is 20% of 251? | 50 | 50 | 55 | 45 | 60 | Standard arithmetic calculation |
2,566 | trigonometry | easy | What is tan(45°)? | 1 | √3 | √2 | 1 | 0 | Trigonometric functions and identities |
566 | algebra | medium | Solve: 6x - 11 = 10 | 3 | 6 | 3 | 1 | 4 | Algebraic manipulation and solving |
1,926 | fractions | medium | Calculate 1/2 × 1/4 | 1/8 | 1/9 | 1/8 | 2/8 | 8/1 | Fraction arithmetic and simplification |
4,739 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 60 | 125 | 75 | Permutations and combinations |
3,542 | number_theory | medium | Find LCM of 9 and 15 | 45 | 45 | 35 | 60 | 50 | Number theory and modular arithmetic |
2,331 | calculus | medium | What is d/dx(4x^4 - 5x + 1)? | 16x^3 - 5 | 16x^3 - 5 | 16x^4 - 5 | 16x^3 - 1 | 4x^3 - 5 | Calculus differentiation and integration |
3,245 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 4.5 | 3 | Probability calculation and expected value |
35 | arithmetic | easy | What is 17 + 72? | 89 | 92 | 87 | 89 | 90 | Standard arithmetic calculation |
4,488 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 4 | 6 | 5 | Vector operations and matrix calculations |
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