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 |
|---|---|---|---|---|---|---|---|---|---|
1,744 | fractions | easy | Simplify 24/20 | 6/5 | 12/10 | 6/5 | 25/21 | 23/19 | Fraction arithmetic and simplification |
1,791 | fractions | easy | Simplify 25/40 | 5/8 | 24/39 | 26/41 | 5/8 | 12/20 | Fraction arithmetic and simplification |
4,271 | linear_algebra | easy | Calculate 2 × [2, 3] | [4, 6] | [5, 6] | [4, 6] | [4, 5] | [3, 6] | Vector operations and matrix calculations |
356 | arithmetic | hard | Calculate (5^3 × 3) ÷ 3 | 125 | 128 | 133 | 125 | 120 | Standard arithmetic calculation |
2,857 | 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 |
2,835 | 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 |
2,934 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 1/2 | 2/3 | 1/4 | Probability calculation and expected value |
3,953 | logic | medium | What is NOT(True AND False)? | True | False | True | Cannot determine | Depends on values | Logical reasoning and boolean operations |
1,772 | fractions | easy | Simplify 24/24 | 1/1 | 1/1 | 23/23 | 25/25 | 12/12 | Fraction arithmetic and simplification |
1,245 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 16 | 15 | 13 | 14 | Geometric calculation and spatial reasoning |
3,541 | number_theory | medium | How many factors does 24 have? | 8 | 7 | 8 | 9 | 6 | Number theory and modular arithmetic |
1,538 | 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 |
4,697 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 10 | 120 | 24 | 25 | Permutations and combinations |
3,693 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 2 | 3 | 4 | Number theory and modular arithmetic |
4,925 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 48 | 24 | 60 | 120 | Permutations and combinations |
2,777 | trigonometry | medium | What is tan(45°)? | 1 | 1 | √3 | √2 | 0 | Trigonometric functions and identities |
3,728 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 2 | 3 | 1 | Number theory and modular arithmetic |
1,103 | geometry | medium | What is the volume of a cube with side length 8? | 512 | 527 | 492 | 512 | 547 | Geometric calculation and spatial reasoning |
4,343 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 8 | 11 | 10 | Vector operations and matrix calculations |
2,993 | 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 |
26 | arithmetic | easy | What is 23 + 12? | 35 | 35 | 38 | 33 | 36 | Standard arithmetic calculation |
365 | arithmetic | hard | Calculate (3^4 × 2) ÷ 5 | 32 | 32 | 27 | 35 | 40 | Standard arithmetic calculation |
2,190 | calculus | easy | Find d/dx(x^4) | 4x^3 | x^3 | 4x^4 | 4x^3 | x^4 | Calculus differentiation and integration |
774 | algebra | hard | Solve: x² + -11x + 28 = 0 | x = 7 or x = 4 | x = 6 or x = 5 | x = 7 or x = 4 | x = -7 or x = -4 | x = 8 or x = 3 | Algebraic manipulation and solving |
1,939 | fractions | medium | Calculate 4/5 × 5/4 | 1/1 | 1/2 | 1/1 | 2/1 | 1/1 | Fraction arithmetic and simplification |
3,864 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Depends on context | True | Cannot determine | False | Logical reasoning and boolean operations |
1,160 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 5 | 6 | 3 | 4 | Geometric calculation and spatial reasoning |
271 | arithmetic | medium | What is 15% of 234? | 35 | 30 | 45 | 35 | 40 | Standard arithmetic calculation |
355 | arithmetic | hard | Calculate (5^3 × 2) ÷ 6 | 41 | 36 | 44 | 49 | 41 | Standard arithmetic calculation |
3,914 | logic | medium | What is NOT(True AND False)? | True | Depends on values | True | Cannot determine | False | Logical reasoning and boolean operations |
4,523 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 5 | 4 | 3 | Vector operations and matrix calculations |
1,799 | fractions | easy | What is 1/4 + 1/3? | 7/12 | 8/12 | 6/12 | 7/13 | 7/12 | Fraction arithmetic and simplification |
4,585 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 25 | 10 | 24 | 120 | Permutations and combinations |
2,965 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 7 | 8 | 5 | Probability calculation and expected value |
1,729 | fractions | easy | Simplify 18/36 | 1/2 | 17/35 | 9/18 | 19/37 | 1/2 | Fraction arithmetic and simplification |
2,885 | 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 |
2,283 | calculus | medium | What is d/dx(4x^2 - 3x + 1)? | 8x^1 - 3 | 4x^1 - 3 | 8x^2 - 3 | 8x^1 - 1 | 8x^1 - 3 | Calculus differentiation and integration |
4,350 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 8 | 11 | 10 | Vector operations and matrix calculations |
3,111 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/12 | 1/15 | 1/14 | 1/13 | Probability calculation and expected value |
2,045 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 2/2 | 1/2 | 1/3 | Fraction arithmetic and simplification |
4,851 | 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 |
3,275 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4.5 | 4 | 3.5 | Probability calculation and expected value |
797 | 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 |
3,188 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/30 | 1/35 | 1/32 | Probability calculation and expected value |
4,634 | combinatorics | easy | How many ways can 4 people stand in a line? | 24 | 8 | 16 | 6 | 24 | Permutations and combinations |
849 | geometry | easy | What is the area of a rectangle with length 5 and width 9? | 45 | 48 | 45 | 40 | 53 | Geometric calculation and spatial reasoning |
3,025 | 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 |
3,139 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/15 | 1/12 | 1/14 | 1/13 | Probability calculation and expected value |
3,286 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 3 | 4.5 | 4 | Probability calculation and expected value |
1,169 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 6 | 4 | 3 | 5 | Geometric calculation and spatial reasoning |
729 | 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 |
2,250 | calculus | medium | What is d/dx(2x^4 - 3x + 1)? | 8x^3 - 3 | 8x^3 - 1 | 2x^3 - 3 | 8x^4 - 3 | 8x^3 - 3 | Calculus differentiation and integration |
795 | algebra | hard | Solve: x² + -10x + 24 = 0 | x = 4 or x = 6 | x = 3 or x = 7 | x = 4 or x = 6 | x = -4 or x = -6 | x = 5 or x = 5 | Algebraic manipulation and solving |
3,153 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/30 | 1/35 | 1/32 | Probability calculation and expected value |
2,484 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(x²) | 2x cos(x²) | cos(2x) | Calculus differentiation and integration |
1,947 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/3 | 2/2 | 1/2 | Fraction arithmetic and simplification |
1,730 | fractions | easy | What is 1/2 + 1/3? | 5/6 | 6/6 | 4/6 | 5/6 | 5/7 | Fraction arithmetic and simplification |
2,039 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 2/2 | 1/3 | 0/2 | Fraction arithmetic and simplification |
3,875 | 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 |
3,814 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | mammal | pet | animal | cat | Logical reasoning and boolean operations |
1,733 | fractions | easy | Simplify 10/35 | 2/7 | 5/17 | 2/7 | 11/36 | 9/34 | Fraction arithmetic and simplification |
4,514 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 3 | 4 | 5 | Vector operations and matrix calculations |
3,060 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/32 | 1/30 | 1/35 | Probability calculation and expected value |
3,370 | number_theory | easy | Is 13 a prime number? | Yes | Cannot determine | Only if x>0 | Yes | No | Number theory and modular arithmetic |
2,941 | 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 |
2,337 | calculus | medium | What is d/dx(2x^3 - 5x + 1)? | 6x^2 - 5 | 2x^2 - 5 | 6x^3 - 5 | 6x^2 - 5 | 6x^2 - 1 | Calculus differentiation and integration |
3,873 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | False | Depends on context | True | Logical reasoning and boolean operations |
3,672 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 4 | 1 | 2 | Number theory and modular arithmetic |
385 | arithmetic | hard | Calculate (6^3 × 2) ÷ 7 | 61 | 64 | 61 | 56 | 69 | Standard arithmetic calculation |
4,392 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 10 | 9 | 8 | Vector operations and matrix calculations |
2,537 | trigonometry | easy | Calculate tan(0°) | 0 | 0 | undefined | 1 | -1 | Trigonometric functions and identities |
2,343 | calculus | medium | What is d/dx(2x^3 - 7x + 1)? | 6x^2 - 7 | 2x^2 - 7 | 6x^2 - 7 | 6x^2 - 1 | 6x^3 - 7 | Calculus differentiation and integration |
2,794 | 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 |
4,764 | 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 |
812 | algebra | hard | Solve: x² + -6x + 8 = 0 | x = 4 or x = 2 | x = 3 or x = 3 | x = 4 or x = 2 | x = -4 or x = -2 | x = 5 or x = 1 | Algebraic manipulation and solving |
2,040 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 2/2 | 1/2 | 1/3 | Fraction arithmetic and simplification |
3,719 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 4 | 2 | 1 | Number theory and modular arithmetic |
3,270 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4 | 4.5 | 3 | Probability calculation and expected value |
381 | arithmetic | hard | Calculate (4^3 × 3) ÷ 9 | 21 | 24 | 29 | 16 | 21 | Standard arithmetic calculation |
2,991 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 7 | 8 | 6 | Probability calculation and expected value |
1,218 | geometry | hard | Find the hypotenuse of a right triangle with legs 7 and 24 | 25 | 26 | 23 | 25 | 24 | Geometric calculation and spatial reasoning |
4,482 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 6 | 3 | Vector operations and matrix calculations |
3,685 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 2 | 3 | 4 | Number theory and modular arithmetic |
4,993 | 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 |
152 | arithmetic | medium | What is 40% of 193? | 77 | 87 | 77 | 72 | 82 | Standard arithmetic calculation |
3,481 | number_theory | medium | How many factors does 24 have? | 8 | 6 | 7 | 9 | 8 | Number theory and modular arithmetic |
235 | arithmetic | medium | Calculate 180 ÷ 10 | 18 | 21 | 19 | 16 | 18 | Standard arithmetic calculation |
3,786 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | True | False | Depends on context | Cannot determine | Logical reasoning and boolean operations |
887 | geometry | easy | What is the area of a rectangle with length 6 and width 4? | 24 | 24 | 19 | 32 | 27 | Geometric calculation and spatial reasoning |
179 | arithmetic | medium | What is 13²? | 169 | 184 | 177 | 169 | 159 | Standard arithmetic calculation |
2,048 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 0/2 | 1/3 | Fraction arithmetic and simplification |
1,833 | fractions | medium | Divide 3/4 ÷ 1/2 | 3/2 | 3/2 | 4/2 | 2/3 | 3/3 | Fraction arithmetic and simplification |
2,416 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(2x) | 2x sin(x²) | cos(x²) | Calculus differentiation and integration |
903 | geometry | easy | How many sides does a octagon have? | 8 | 10 | 9 | 8 | 7 | Geometric calculation and spatial reasoning |
2,386 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(2x) | 2x sin(x²) | cos(x²) | Calculus differentiation and integration |
3,982 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is false | P is false | Q is true | Cannot determine | Logical reasoning and boolean operations |
4,974 | 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 |
3,818 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | True | Cannot determine | Depends on context | Logical reasoning and boolean operations |
4,334 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 10 | 11 | 9 | Vector operations and matrix calculations |
2,552 | trigonometry | easy | Calculate tan(0°) | 0 | 1 | 0 | -1 | undefined | Trigonometric functions and identities |
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