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 |
|---|---|---|---|---|---|---|---|---|---|
1,313 | statistics | easy | Find the median of 20 7 7 18 19 9 11 10 | 10.5 | 11.5 | 10.5 | 8.5 | 12.5 | Statistical measure calculation |
4,714 | combinatorics | easy | How many ways can 4 people stand in a line? | 24 | 24 | 8 | 16 | 6 | Permutations and combinations |
1,970 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/2 | 2/2 | 1/3 | Fraction arithmetic and simplification |
2,752 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | 2 | sin(2x) | 0 | Trigonometric functions and identities |
4,955 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 24 | 48 | 60 | Permutations and combinations |
4,177 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [6, 8] | [7, 9] | [6, 9] | [5, 9] | Vector operations and matrix calculations |
2,285 | calculus | medium | What is d/dx(3x^2 - 8x + 1)? | 6x^1 - 8 | 6x^1 - 1 | 6x^2 - 8 | 6x^1 - 8 | 3x^1 - 8 | Calculus differentiation and integration |
4,687 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 4 | 8 | 5 | 6 | Permutations and combinations |
3,307 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 3.5 | 4 | 3 | Probability calculation and expected value |
3,639 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 4 | 1 | Number theory and modular arithmetic |
2,208 | calculus | easy | Find d/dx(x^3) | 3x^2 | x^3 | x^2 | 3x^3 | 3x^2 | Calculus differentiation and integration |
3,011 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 8 | 7 | 5 | Probability calculation and expected value |
2,154 | 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 |
4,615 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 120 | 24 | 10 | 25 | Permutations and combinations |
40 | arithmetic | easy | Calculate 99 - 29 | 70 | 71 | 69 | 72 | 70 | Standard arithmetic calculation |
4,949 | 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 |
3,175 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/32 | 1/35 | 1/30 | Probability calculation and expected value |
1,217 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 14 | 11 | 12 | 13 | Geometric calculation and spatial reasoning |
3,623 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 4 | 1 | 3 | Number theory and modular arithmetic |
4,722 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 5 | 6 | 4 | 8 | Permutations and combinations |
2,234 | calculus | medium | What is d/dx(2x^2 - 8x + 1)? | 4x^1 - 8 | 2x^1 - 8 | 4x^2 - 8 | 4x^1 - 8 | 4x^1 - 1 | Calculus differentiation and integration |
4,539 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 4 | 5 | 3 | Vector operations and matrix calculations |
436 | algebra | easy | What is 5x when x = 3? | 15 | 17 | 15 | 12 | 20 | Algebraic manipulation and solving |
4,775 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 60 | 125 | 50 | Permutations and combinations |
486 | algebra | easy | What is 7x when x = 3? | 21 | 18 | 21 | 26 | 23 | Algebraic manipulation and solving |
1,533 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.94 | 2.54 | 2.24 | Statistical measure calculation |
3,257 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 4.5 | 3.5 | 3 | Probability calculation and expected value |
4,735 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 75 | 50 | 125 | Permutations and combinations |
2,034 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 2/2 | 1/2 | 1/3 | Fraction arithmetic and simplification |
2,345 | calculus | medium | What is d/dx(2x^2 - 2x + 1)? | 4x^1 - 2 | 4x^1 - 1 | 4x^2 - 2 | 2x^1 - 2 | 4x^1 - 2 | Calculus differentiation and integration |
641 | algebra | medium | Solve: 4x - 12 = 19 | 7 | 8 | 10 | 7 | 5 | Algebraic manipulation and solving |
4,976 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 24 | 48 | 60 | 120 | Permutations and combinations |
1,447 | statistics | medium | Calculate the range of 14 5 6 15 17 | 12 | 12 | 15 | 13 | 10 | Statistical measure calculation |
2,573 | trigonometry | easy | Find cos(0°) | 1 | 1/2 | -1 | 0 | 1 | Trigonometric functions and identities |
393 | arithmetic | hard | Calculate (3^4 × 3) ÷ 3 | 81 | 76 | 84 | 81 | 89 | Standard arithmetic calculation |
2,114 | calculus | easy | Evaluate ∫x^4 dx | x^5/5 + C | x^5/5 + C | x^4 + C | 4x^3 + C | x^6/6 + C | Calculus differentiation and integration |
3,674 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 1 | 4 | 2 | Number theory and modular arithmetic |
3,211 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4.5 | 4 | 3.5 | Probability calculation and expected value |
4,306 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [2, 7] | [3, 6] | [3, 7] | Vector operations and matrix calculations |
413 | arithmetic | hard | Calculate (5^3 × 2) ÷ 4 | 62 | 62 | 57 | 65 | 70 | Standard arithmetic calculation |
2,938 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/4 | 2/3 | 1/2 | 1/3 | Probability calculation and expected value |
1,102 | geometry | medium | What is the volume of a cube with side length 4? | 64 | 44 | 79 | 64 | 99 | Geometric calculation and spatial reasoning |
1,479 | statistics | medium | Calculate the range of 8 18 3 16 | 15 | 13 | 15 | 16 | 18 | Statistical measure calculation |
2,359 | calculus | medium | What is d/dx(3x^4 - 6x + 1)? | 12x^3 - 6 | 12x^4 - 6 | 12x^3 - 1 | 12x^3 - 6 | 3x^3 - 6 | Calculus differentiation and integration |
3,294 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4 | 3.5 | 4.5 | Probability calculation and expected value |
4,612 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 8 | 4 | 6 | 5 | Permutations and combinations |
3,605 | number_theory | medium | Find LCM of 15 and 20 | 60 | 50 | 75 | 60 | 65 | Number theory and modular arithmetic |
3,485 | number_theory | medium | Find LCM of 9 and 15 | 45 | 45 | 60 | 35 | 50 | Number theory and modular arithmetic |
4,886 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 48 | 60 | 24 | 120 | Permutations and combinations |
252 | arithmetic | medium | What is 20% of 223? | 44 | 49 | 44 | 54 | 39 | Standard arithmetic calculation |
1,922 | fractions | medium | Divide 1/2 ÷ 1/2 | 1/1 | 1/1 | 2/1 | 1/2 | 1/1 | Fraction arithmetic and simplification |
4,643 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 5 | 4 | 8 | 6 | Permutations and combinations |
3,985 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | P is false | Cannot determine | Q is false | Q is true | Logical reasoning and boolean operations |
4,800 | 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 |
3,076 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/30 | 1/32 | 1/35 | Probability calculation and expected value |
1,037 | geometry | medium | What is the volume of a cube with side length 4? | 64 | 44 | 79 | 64 | 99 | Geometric calculation and spatial reasoning |
1,127 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 3 | 4 | 5 | 6 | Geometric calculation and spatial reasoning |
2,821 | 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 |
627 | algebra | medium | Find x: x² = 64 | 8 | 6 | 8 | 9 | 11 | Algebraic manipulation and solving |
977 | geometry | medium | What is the volume of a cube with side length 8? | 512 | 512 | 492 | 547 | 527 | Geometric calculation and spatial reasoning |
4,876 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 60 | 24 | 48 | Permutations and combinations |
4,390 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 8 | 10 | Vector operations and matrix calculations |
1,258 | statistics | easy | What is the mean of 6 11 19 12 20 17? | 14.2 | 12.2 | 14.2 | 16.2 | 15.2 | Statistical measure calculation |
4,827 | 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 |
4,260 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [2, 7] | [3, 7] | [4, 7] | Vector operations and matrix calculations |
1,393 | statistics | medium | What is the mode of 15 13 7 13 7 13 15? | 13 | 14 | 11 | 16 | 13 | Statistical measure calculation |
1,195 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 18 | 15 | 16 | Geometric calculation and spatial reasoning |
1,093 | geometry | medium | Find the area of a circle with radius 4 (use π ≈ 3.14) | 50.27 | 47.77 | 53.47 | 52.07 | 50.27 | Geometric calculation and spatial reasoning |
4,664 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 36 | 120 | 12 | 720 | Permutations and combinations |
2,011 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/3 | 1/2 | 2/2 | Fraction arithmetic and simplification |
2,895 | 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 |
1,122 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 3 | 4 | 5 | 6 | Geometric calculation and spatial reasoning |
2,785 | 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 |
4,403 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 8 | 9 | 11 | Vector operations and matrix calculations |
3,970 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Cannot determine | Q is true | P is false | Q is false | Logical reasoning and boolean operations |
1,992 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 1/3 | 0/2 | Fraction arithmetic and simplification |
178 | arithmetic | medium | Calculate 162 ÷ 9 | 18 | 18 | 16 | 21 | 19 | Standard arithmetic calculation |
2,765 | trigonometry | medium | What is tan(45°)? | 1 | √2 | √3 | 1 | 0 | Trigonometric functions and identities |
3,180 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/14 | 1/13 | 1/12 | 1/15 | Probability calculation and expected value |
120 | arithmetic | easy | Calculate 66 - 66 | 0 | 1 | 2 | 0 | -1 | Standard arithmetic calculation |
1,120 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 18 | 16 | 15 | Geometric calculation and spatial reasoning |
1,227 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 3 | 6 | 5 | 4 | Geometric calculation and spatial reasoning |
519 | algebra | easy | Solve for x: x + 4 = 10 | 6 | 7 | 4 | 9 | 6 | Algebraic manipulation and solving |
3,309 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 3 | 4.5 | Probability calculation and expected value |
4,067 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | True | Depends on other variables | Cannot determine | False | Logical reasoning and boolean operations |
2,856 | 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 |
1,676 | fractions | easy | What is 1/2 + 1/4? | 3/4 | 4/4 | 2/4 | 3/4 | 3/5 | Fraction arithmetic and simplification |
223 | arithmetic | medium | What is 9²? | 81 | 96 | 81 | 71 | 89 | Standard arithmetic calculation |
1,796 | fractions | easy | What is 1/2 + 1/6? | 2/3 | 1/3 | 3/3 | 2/4 | 2/3 | Fraction arithmetic and simplification |
3,897 | 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 |
4,377 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 8 | 10 | Vector operations and matrix calculations |
4,940 | 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 |
714 | algebra | hard | Solve: x² + -14x + 48 = 0 | x = 8 or x = 6 | x = 7 or x = 7 | x = 8 or x = 6 | x = -8 or x = -6 | x = 9 or x = 5 | Algebraic manipulation and solving |
4,707 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 25 | 24 | 120 | 10 | Permutations and combinations |
3,640 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 1 | 3 | 4 | Number theory and modular arithmetic |
810 | algebra | hard | Solve: x² + -8x + 16 = 0 | x = 4 or x = 4 | x = 3 or x = 5 | x = 4 or x = 4 | x = -4 or x = -4 | x = 5 or x = 3 | Algebraic manipulation and solving |
3,477 | number_theory | medium | How many factors does 30 have? | 8 | 9 | 8 | 7 | 6 | Number theory and modular arithmetic |
1,299 | statistics | easy | Find the median of 19 12 9 5 17 | 12 | 10 | 14 | 13 | 12 | Statistical measure calculation |
175 | arithmetic | medium | What is 8²? | 64 | 72 | 79 | 64 | 54 | Standard arithmetic calculation |
3,890 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | animal | cat | mammal | pet | Logical reasoning and boolean operations |
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