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 |
|---|---|---|---|---|---|---|---|---|---|
3,544 | number_theory | medium | How many factors does 30 have? | 8 | 9 | 8 | 7 | 6 | Number theory and modular arithmetic |
504 | algebra | easy | What is 2x when x = 5? | 10 | 12 | 10 | 15 | 7 | Algebraic manipulation and solving |
1,685 | fractions | easy | What is 1/3 + 1/4? | 7/12 | 7/13 | 7/12 | 8/12 | 6/12 | Fraction arithmetic and simplification |
754 | algebra | hard | Solve: x² + -5x + 6 = 0 | x = 3 or x = 2 | x = 2 or x = 3 | x = 3 or x = 2 | x = -3 or x = -2 | x = 4 or x = 1 | Algebraic manipulation and solving |
1,915 | fractions | medium | Calculate 4/3 × 2/3 | 8/9 | 8/10 | 9/8 | 8/9 | 9/9 | Fraction arithmetic and simplification |
1,552 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 2.54 | 2.24 | 1.74 | Statistical measure calculation |
1,541 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 2.24 | 1.74 | 2.54 | Statistical measure calculation |
4,038 | 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 |
2,136 | calculus | easy | Find d/dx(x^4) | 4x^3 | 4x^3 | x^4 | 4x^4 | x^3 | Calculus differentiation and integration |
2,044 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 2/2 | 1/3 | 0/2 | Fraction arithmetic and simplification |
257 | arithmetic | medium | What is 25% of 297? | 74 | 69 | 84 | 79 | 74 | Standard arithmetic calculation |
974 | geometry | medium | What is the volume of a cube with side length 9? | 729 | 709 | 744 | 764 | 729 | Geometric calculation and spatial reasoning |
4,318 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 11 | 9 | 10 | Vector operations and matrix calculations |
1,896 | fractions | medium | Calculate 1 × 5/7 | 5/7 | 5/8 | 5/7 | 7/5 | 6/7 | Fraction arithmetic and simplification |
4,257 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [6, 8] | [5, 9] | [6, 9] | [7, 9] | Vector operations and matrix calculations |
4,576 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 6 | 5 | 3 | Vector operations and matrix calculations |
868 | geometry | easy | How many sides does a octagon have? | 8 | 10 | 7 | 9 | 8 | Geometric calculation and spatial reasoning |
4,893 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 24 | 120 | 48 | Permutations and combinations |
1,007 | geometry | medium | Find the area of a circle with radius 6 (use π ≈ 3.14) | 113.1 | 114.9 | 113.1 | 116.3 | 110.6 | Geometric calculation and spatial reasoning |
3,704 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 4 | 3 | 1 | Number theory and modular arithmetic |
1,201 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 14 | 12 | 11 | 13 | Geometric calculation and spatial reasoning |
4,818 | 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 |
4,231 | linear_algebra | easy | Calculate 4 × [2, 3] | [8, 12] | [7, 12] | [8, 11] | [9, 12] | [8, 12] | Vector operations and matrix calculations |
1,535 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 1.74 | 2.54 | 2.94 | Statistical measure calculation |
2,312 | calculus | medium | What is d/dx(5x^2 - 5x + 1)? | 10x^1 - 5 | 5x^1 - 5 | 10x^2 - 5 | 10x^1 - 1 | 10x^1 - 5 | Calculus differentiation and integration |
1,631 | 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 |
3,292 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 3.5 | 3 | 4 | Probability calculation and expected value |
3,497 | number_theory | medium | Find LCM of 12 and 16 | 48 | 38 | 53 | 48 | 63 | Number theory and modular arithmetic |
3,989 | logic | medium | What is NOT(True AND False)? | True | Cannot determine | False | True | Depends on values | Logical reasoning and boolean operations |
2,232 | calculus | medium | What is d/dx(2x^4 - 3x + 1)? | 8x^3 - 3 | 8x^3 - 3 | 2x^3 - 3 | 8x^3 - 1 | 8x^4 - 3 | Calculus differentiation and integration |
4,927 | 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 |
1,050 | geometry | medium | Find the area of a circle with radius 8 (use π ≈ 3.14) | 201.06 | 202.86 | 201.06 | 198.56 | 204.26 | Geometric calculation and spatial reasoning |
513 | algebra | easy | What is 5x when x = 7? | 35 | 35 | 37 | 32 | 40 | Algebraic manipulation and solving |
2,188 | calculus | easy | What is the derivative of x²? | 2x | 2x | x² | 2x² | x | Calculus differentiation and integration |
4,757 | 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 |
4,412 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 8 | 10 | 11 | Vector operations and matrix calculations |
1,417 | statistics | medium | Calculate the range of 11 13 14 3 11 2 | 12 | 12 | 13 | 15 | 10 | Statistical measure calculation |
3,264 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4.5 | 4 | 3.5 | Probability calculation and expected value |
1,419 | statistics | medium | Calculate the range of 18 9 18 6 8 | 12 | 10 | 15 | 12 | 13 | Statistical measure calculation |
4,973 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 120 | 48 | 24 | Permutations and combinations |
4,013 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is false | Cannot determine | P is false | Q is true | Logical reasoning and boolean operations |
2,071 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/3 | 2/2 | 1/2 | Fraction arithmetic and simplification |
724 | algebra | hard | Solve: x² + -6x + 8 = 0 | x = 2 or x = 4 | x = 1 or x = 5 | x = 2 or x = 4 | x = -2 or x = -4 | x = 3 or x = 3 | Algebraic manipulation and solving |
4,580 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 6 | 3 | Vector operations and matrix calculations |
1,361 | statistics | easy | What is the mean of 7 19 13 9 3? | 10.2 | 11.2 | 12.2 | 10.2 | 8.2 | Statistical measure calculation |
1,859 | fractions | medium | Calculate 2/3 × 5/8 | 5/12 | 5/13 | 12/5 | 5/12 | 6/12 | Fraction arithmetic and simplification |
874 | geometry | easy | How many sides does a pentagon have? | 5 | 4 | 7 | 5 | 6 | Geometric calculation and spatial reasoning |
1,196 | geometry | hard | Find the hypotenuse of a right triangle with legs 7 and 24 | 25 | 24 | 25 | 26 | 23 | Geometric calculation and spatial reasoning |
1,761 | fractions | easy | Simplify 16/36 | 4/9 | 8/18 | 4/9 | 15/35 | 17/37 | Fraction arithmetic and simplification |
4,002 | logic | medium | What is NOT(True AND False)? | True | False | Cannot determine | Depends on values | True | Logical reasoning and boolean operations |
423 | algebra | easy | What is 2x when x = 6? | 12 | 14 | 9 | 12 | 17 | Algebraic manipulation and solving |
990 | geometry | medium | Find the area of a circle with radius 7 (use π ≈ 3.14) | 153.94 | 153.94 | 157.14 | 155.74 | 151.44 | Geometric calculation and spatial reasoning |
3,545 | number_theory | medium | Find LCM of 15 and 20 | 60 | 50 | 75 | 65 | 60 | Number theory and modular arithmetic |
3,514 | number_theory | medium | Find LCM of 12 and 16 | 48 | 63 | 53 | 48 | 38 | Number theory and modular arithmetic |
777 | 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 |
3,960 | logic | medium | What is NOT(True AND False)? | True | Depends on values | True | Cannot determine | False | Logical reasoning and boolean operations |
2,974 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 8 | 5 | 6 | 7 | Probability calculation and expected value |
929 | geometry | easy | How many sides does a heptagon have? | 7 | 6 | 7 | 8 | 9 | Geometric calculation and spatial reasoning |
182 | arithmetic | medium | What is 20% of 219? | 43 | 48 | 53 | 43 | 38 | Standard arithmetic calculation |
4,571 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
272 | arithmetic | medium | What is 30% of 108? | 32 | 37 | 42 | 27 | 32 | Standard arithmetic calculation |
4,758 | 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 |
1,085 | geometry | medium | Find the area of a circle with radius 6 (use π ≈ 3.14) | 113.1 | 113.1 | 110.6 | 116.3 | 114.9 | Geometric calculation and spatial reasoning |
2,167 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^5 | 5x^4 | 5x^5 | x^4 | Calculus differentiation and integration |
1,763 | fractions | easy | What is 1/4 + 1/4? | 1/2 | 0/2 | 1/2 | 2/2 | 1/3 | Fraction arithmetic and simplification |
1,968 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 1/3 | 0/2 | Fraction arithmetic and simplification |
2,219 | calculus | easy | Find d/dx(x^4) | 4x^3 | 4x^4 | x^3 | 4x^3 | x^4 | Calculus differentiation and integration |
4,212 | linear_algebra | easy | Calculate 5 × [2, 3] | [10, 15] | [10, 14] | [10, 15] | [9, 15] | [11, 15] | Vector operations and matrix calculations |
2,898 | 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 |
3,127 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/13 | 1/15 | 1/12 | 1/14 | Probability calculation and expected value |
1,236 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 15 | 16 | 14 | 13 | Geometric calculation and spatial reasoning |
3,061 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/35 | 1/32 | 1/30 | 1/36 | Probability calculation and expected value |
854 | geometry | easy | How many sides does a heptagon have? | 7 | 9 | 7 | 8 | 6 | Geometric calculation and spatial reasoning |
4,559 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 3 | 5 | 6 | Vector operations and matrix calculations |
2,258 | calculus | medium | What is d/dx(2x^4 - 7x + 1)? | 8x^3 - 7 | 8x^3 - 1 | 8x^3 - 7 | 8x^4 - 7 | 2x^3 - 7 | Calculus differentiation and integration |
4,651 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 24 | 120 | 10 | 25 | Permutations and combinations |
3,023 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 6 | 7 | 8 | Probability calculation and expected value |
984 | geometry | medium | What is the volume of a cube with side length 5? | 125 | 160 | 140 | 125 | 105 | Geometric calculation and spatial reasoning |
3,707 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 1 | 3 | 4 | Number theory and modular arithmetic |
3,482 | number_theory | medium | Find LCM of 9 and 15 | 45 | 35 | 45 | 50 | 60 | Number theory and modular arithmetic |
2,413 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | cos(x²) | 2x cos(x²) | 2x sin(x²) | Calculus differentiation and integration |
2,806 | 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 |
2,353 | calculus | medium | What is d/dx(4x^3 - 3x + 1)? | 12x^2 - 3 | 12x^2 - 1 | 4x^2 - 3 | 12x^2 - 3 | 12x^3 - 3 | Calculus differentiation and integration |
4,766 | 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 |
972 | geometry | easy | How many sides does a hexagon have? | 6 | 8 | 5 | 7 | 6 | Geometric calculation and spatial reasoning |
4,817 | 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 |
4,830 | 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 |
228 | arithmetic | medium | Calculate 152 ÷ 8 | 19 | 17 | 20 | 22 | 19 | Standard arithmetic calculation |
407 | arithmetic | hard | Calculate (3^3 × 4) ÷ 5 | 21 | 16 | 29 | 21 | 24 | Standard arithmetic calculation |
873 | geometry | easy | How many sides does a heptagon have? | 7 | 8 | 6 | 7 | 9 | Geometric calculation and spatial reasoning |
1,048 | geometry | medium | Find the area of a circle with radius 5 (use π ≈ 3.14) | 78.54 | 81.74 | 78.54 | 76.04 | 80.34 | Geometric calculation and spatial reasoning |
4,385 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 10 | 8 | Vector operations and matrix calculations |
4,366 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 8 | 11 | 10 | Vector operations and matrix calculations |
2,602 | trigonometry | easy | What is sin(0°)? | 0 | 0 | -1 | 1 | 0 | Trigonometric functions and identities |
446 | algebra | easy | What is 2x when x = 9? | 18 | 23 | 18 | 15 | 20 | Algebraic manipulation and solving |
4,181 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [4, 7] | [3, 7] | [2, 7] | Vector operations and matrix calculations |
4,056 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Depends on other variables | False | Cannot determine | True | Logical reasoning and boolean operations |
2,542 | trigonometry | easy | Find cos(90°) | 0 | 1 | -1 | 0 | 0 | Trigonometric functions and identities |
510 | algebra | easy | Solve for x: x + 14 = 19 | 5 | 6 | 3 | 5 | 8 | Algebraic manipulation and solving |
3,121 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/12 | 1/13 | 1/15 | 1/14 | Probability calculation and expected value |
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