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 |
|---|---|---|---|---|---|---|---|---|---|
3,186 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/35 | 1/30 | 1/32 | Probability calculation and expected value |
2,558 | trigonometry | easy | Calculate tan(0°) | 0 | 1 | undefined | 0 | -1 | Trigonometric functions and identities |
1,606 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.24 | 2.94 | 2.54 | Statistical measure calculation |
2,171 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^4 | 5x^4 | x^5 | 5x^5 | Calculus differentiation and integration |
726 | algebra | hard | Solve: x² + -11x + 24 = 0 | x = 8 or x = 3 | x = 7 or x = 4 | x = 8 or x = 3 | x = -8 or x = -3 | x = 9 or x = 2 | Algebraic manipulation and solving |
210 | arithmetic | medium | What is 15% of 322? | 48 | 53 | 43 | 58 | 48 | Standard arithmetic calculation |
2,004 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 2/2 | 1/2 | 1/3 | Fraction arithmetic and simplification |
368 | arithmetic | hard | Calculate (6^4 × 2) ÷ 4 | 648 | 656 | 651 | 648 | 643 | Standard arithmetic calculation |
1,882 | fractions | medium | Calculate 5/6 × 5/7 | 25/42 | 42/25 | 26/42 | 25/42 | 25/43 | Fraction arithmetic and simplification |
839 | geometry | easy | How many sides does a pentagon have? | 5 | 7 | 4 | 5 | 6 | Geometric calculation and spatial reasoning |
4,686 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 4 | 8 | 5 | 6 | Permutations and combinations |
4,017 | logic | medium | What is NOT(True AND False)? | True | Cannot determine | True | Depends on values | False | Logical reasoning and boolean operations |
1,899 | fractions | medium | Divide 2/3 ÷ 1 | 2/3 | 2/3 | 3/3 | 3/2 | 2/4 | Fraction arithmetic and simplification |
1,843 | fractions | medium | Calculate 5/3 × 3/7 | 5/7 | 7/5 | 5/8 | 6/7 | 5/7 | Fraction arithmetic and simplification |
4,970 | 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 |
4,014 | logic | medium | What is NOT(True AND False)? | True | False | Cannot determine | Depends on values | True | Logical reasoning and boolean operations |
690 | algebra | medium | Solve: 5x - 13 = 11 | 4 | 2 | 7 | 5 | 4 | Algebraic manipulation and solving |
227 | arithmetic | medium | Calculate 260 ÷ 13 | 20 | 21 | 18 | 20 | 23 | Standard arithmetic calculation |
3,633 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 2 | 1 | 3 | Number theory and modular arithmetic |
2,280 | calculus | medium | What is d/dx(2x^4 - 3x + 1)? | 8x^3 - 3 | 8x^4 - 3 | 8x^3 - 3 | 8x^3 - 1 | 2x^3 - 3 | Calculus differentiation and integration |
3,021 | 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 |
502 | algebra | easy | Solve for x: x + 7 = 17 | 10 | 13 | 8 | 10 | 11 | Algebraic manipulation and solving |
4,182 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 7] | [2, 7] | [3, 6] | [4, 7] | Vector operations and matrix calculations |
3,799 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | Depends on context | False | True | Logical reasoning and boolean operations |
4,089 | 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 |
1,555 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.94 | 2.24 | 2.54 | Statistical measure calculation |
2,868 | 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 |
3,001 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 2/3 | 1/2 | 1/4 | Probability calculation and expected value |
3,834 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | False | Depends on context | True | Logical reasoning and boolean operations |
1,768 | fractions | easy | What is 1/4 + 1/4? | 1/2 | 2/2 | 0/2 | 1/2 | 1/3 | Fraction arithmetic and simplification |
1,960 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 1/3 | 0/2 | Fraction arithmetic and simplification |
2,400 | 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 |
4,171 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [3, 7] | [4, 7] | [2, 7] | Vector operations and matrix calculations |
4,091 | 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 |
1,782 | fractions | easy | Simplify 8/36 | 2/9 | 9/37 | 2/9 | 4/18 | 7/35 | Fraction arithmetic and simplification |
2,977 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/4 | 1/2 | 1/3 | 2/3 | Probability calculation and expected value |
4,119 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | Cannot determine | True | Depends on other variables | Logical reasoning and boolean operations |
2,603 | trigonometry | easy | What is sin(45°)? | 0.71 | 0.71 | 1 | 0 | -1 | Trigonometric functions and identities |
2,053 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 2/2 | 0/2 | Fraction arithmetic and simplification |
2,472 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | 2x cos(x²) | cos(x²) | cos(2x) | Calculus differentiation and integration |
4,966 | 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 |
114 | arithmetic | easy | Find 9 × 10 | 90 | 95 | 90 | 87 | 92 | Standard arithmetic calculation |
3,593 | number_theory | medium | How many factors does 30 have? | 8 | 9 | 7 | 6 | 8 | Number theory and modular arithmetic |
735 | algebra | hard | Solve: x² + -9x + 20 = 0 | x = 4 or x = 5 | x = 3 or x = 6 | x = 4 or x = 5 | x = -4 or x = -5 | x = 5 or x = 4 | Algebraic manipulation and solving |
3,863 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | pet | mammal | cat | animal | Logical reasoning and boolean operations |
2,244 | calculus | medium | What is d/dx(4x^3 - 4x + 1)? | 12x^2 - 4 | 4x^2 - 4 | 12x^2 - 1 | 12x^2 - 4 | 12x^3 - 4 | Calculus differentiation and integration |
848 | geometry | easy | What is the area of a rectangle with length 10 and width 6? | 60 | 68 | 55 | 63 | 60 | Geometric calculation and spatial reasoning |
2,677 | trigonometry | medium | What is tan(45°)? | 1 | 1 | √2 | √3 | 0 | Trigonometric functions and identities |
183 | arithmetic | medium | What is 40% of 131? | 52 | 52 | 57 | 47 | 62 | Standard arithmetic calculation |
4,911 | 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 |
580 | algebra | medium | Solve: 4x - 15 = 20 | 8 | 11 | 8 | 6 | 9 | Algebraic manipulation and solving |
1,986 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 2/2 | 0/2 | Fraction arithmetic and simplification |
128 | arithmetic | easy | Calculate 73 - 24 | 49 | 50 | 48 | 51 | 49 | Standard arithmetic calculation |
3,105 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/30 | 1/35 | 1/32 | 1/36 | Probability calculation and expected value |
4,461 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
430 | algebra | easy | Solve for x: x + 14 = 23 | 9 | 10 | 12 | 9 | 7 | Algebraic manipulation and solving |
2,715 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 1 | 2 | 0 | Trigonometric functions and identities |
745 | algebra | hard | Solve: x² + -13x + 40 = 0 | x = 5 or x = 8 | x = 4 or x = 9 | x = 5 or x = 8 | x = -5 or x = -8 | x = 6 or x = 7 | Algebraic manipulation and solving |
109 | arithmetic | easy | Find 9 × 7 | 63 | 63 | 60 | 65 | 68 | Standard arithmetic calculation |
2,837 | 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 |
3,628 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 3 | 2 | 4 | Number theory and modular arithmetic |
3,740 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 3 | 4 | 2 | Number theory and modular arithmetic |
218 | arithmetic | medium | What is 30% of 221? | 66 | 71 | 66 | 61 | 76 | Standard arithmetic calculation |
1,213 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 5 | 4 | 3 | 6 | Geometric calculation and spatial reasoning |
3,601 | number_theory | medium | Find LCM of 12 and 16 | 48 | 63 | 53 | 48 | 38 | Number theory and modular arithmetic |
1,256 | statistics | easy | Find the median of 6 11 17 17 2 6 10 | 10 | 11 | 10 | 12 | 8 | Statistical measure calculation |
1,627 | 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 |
132 | arithmetic | easy | Find 9 × 9 | 81 | 78 | 86 | 83 | 81 | Standard arithmetic calculation |
1,635 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 2.94 | 2.24 | 1.74 | Statistical measure calculation |
4,279 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [3, 7] | [4, 7] | [2, 7] | Vector operations and matrix calculations |
1,967 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 1/2 | 2/2 | 0/2 | Fraction arithmetic and simplification |
2,421 | 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 |
950 | geometry | easy | What is the area of a rectangle with length 9 and width 4? | 36 | 31 | 36 | 44 | 39 | Geometric calculation and spatial reasoning |
1,279 | statistics | easy | What is the mean of 20 15 2 15 14? | 13.2 | 13.2 | 14.2 | 15.2 | 11.2 | Statistical measure calculation |
1,087 | geometry | medium | Find the area of a circle with radius 6 (use π ≈ 3.14) | 113.1 | 116.3 | 113.1 | 114.9 | 110.6 | Geometric calculation and spatial reasoning |
3,529 | number_theory | medium | How many factors does 24 have? | 8 | 6 | 8 | 9 | 7 | Number theory and modular arithmetic |
1,409 | statistics | medium | Calculate the range of 6 14 9 6 | 8 | 9 | 8 | 11 | 6 | Statistical measure calculation |
1,705 | fractions | easy | Simplify 21/18 | 7/6 | 22/19 | 10/9 | 20/17 | 7/6 | Fraction arithmetic and simplification |
4,163 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | True | Depends on other variables | False | Cannot determine | Logical reasoning and boolean operations |
1,009 | geometry | medium | What is the volume of a cube with side length 8? | 512 | 512 | 527 | 492 | 547 | Geometric calculation and spatial reasoning |
4,526 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 6 | 3 | 4 | Vector operations and matrix calculations |
2,891 | 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 |
4,525 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 4 | 3 | 5 | Vector operations and matrix calculations |
3,620 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 1 | 3 | 2 | Number theory and modular arithmetic |
2,743 | trigonometry | medium | What is tan(45°)? | 1 | √3 | 1 | 0 | √2 | Trigonometric functions and identities |
3,223 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4.5 | 3 | 4 | Probability calculation and expected value |
2,590 | trigonometry | easy | Find cos(90°) | 0 | 1 | -1 | 0 | 0 | Trigonometric functions and identities |
1,554 | 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 |
2,363 | calculus | medium | What is d/dx(2x^4 - 7x + 1)? | 8x^3 - 7 | 8x^4 - 7 | 2x^3 - 7 | 8x^3 - 7 | 8x^3 - 1 | Calculus differentiation and integration |
460 | algebra | easy | Solve for x: x + 11 = 16 | 5 | 3 | 5 | 8 | 6 | Algebraic manipulation and solving |
662 | algebra | medium | Find x: x² = 49 | 7 | 10 | 5 | 8 | 7 | Algebraic manipulation and solving |
3,688 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 4 | 1 | Number theory and modular arithmetic |
2,533 | trigonometry | easy | What is sin(60°)? | 0.87 | 0.87 | 0 | -1 | 1 | Trigonometric functions and identities |
1,867 | fractions | medium | Divide 1/2 ÷ 2/7 | 7/4 | 7/5 | 7/4 | 4/7 | 8/4 | Fraction arithmetic and simplification |
3,645 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 1 | 4 | Number theory and modular arithmetic |
351 | arithmetic | hard | Calculate (4^4 × 3) ÷ 7 | 109 | 109 | 117 | 104 | 112 | Standard arithmetic calculation |
164 | arithmetic | medium | Calculate 156 ÷ 12 | 13 | 11 | 14 | 13 | 16 | Standard arithmetic calculation |
2,916 | 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 |
3,152 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/15 | 1/14 | 1/13 | 1/12 | Probability calculation and expected value |
3,231 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 3 | 4.5 | Probability calculation and expected value |
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