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 |
|---|---|---|---|---|---|---|---|---|---|
1,028 | geometry | medium | Find the area of a circle with radius 7 (use π ≈ 3.14) | 153.94 | 151.44 | 155.74 | 157.14 | 153.94 | Geometric calculation and spatial reasoning |
3,419 | number_theory | easy | Is 13 a prime number? | Yes | Only if x>0 | Cannot determine | Yes | No | Number theory and modular arithmetic |
3,165 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/15 | 1/12 | 1/13 | 1/14 | Probability calculation and expected value |
905 | geometry | easy | How many sides does a octagon have? | 8 | 10 | 8 | 9 | 7 | Geometric calculation and spatial reasoning |
3,643 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 1 | 4 | 2 | Number theory and modular arithmetic |
4,768 | 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 |
2,879 | 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 |
1,166 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 14 | 13 | 11 | 12 | Geometric calculation and spatial reasoning |
388 | arithmetic | hard | Calculate (5^3 × 2) ÷ 4 | 62 | 57 | 70 | 62 | 65 | Standard arithmetic calculation |
3,587 | number_theory | medium | How many factors does 24 have? | 8 | 8 | 6 | 9 | 7 | Number theory and modular arithmetic |
1,307 | statistics | easy | Find the median of 16 9 20 7 16 | 16 | 18 | 14 | 17 | 16 | Statistical measure calculation |
4,632 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 24 | 10 | 25 | 120 | Permutations and combinations |
2,808 | 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 |
2,499 | 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 |
1,460 | statistics | medium | Calculate the range of 4 14 9 18 17 4 9 | 14 | 14 | 12 | 15 | 17 | Statistical measure calculation |
4,122 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | Depends on other variables | Cannot determine | True | Logical reasoning and boolean operations |
1,999 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 0/2 | 2/2 | Fraction arithmetic and simplification |
4,406 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 10 | 9 | 11 | Vector operations and matrix calculations |
4,309 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 11 | 10 | 9 | Vector operations and matrix calculations |
749 | 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 |
527 | algebra | easy | Solve for x: x + 11 = 22 | 11 | 12 | 11 | 14 | 9 | Algebraic manipulation and solving |
4,517 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
1,993 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 0/2 | 1/3 | 2/2 | Fraction arithmetic and simplification |
4,873 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 24 | 48 | 120 | Permutations and combinations |
1,846 | fractions | medium | Calculate 3/5 × 1/2 | 3/10 | 4/10 | 3/11 | 3/10 | 10/3 | Fraction arithmetic and simplification |
2,673 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 0 | 2 | 1 | Trigonometric functions and identities |
1,456 | statistics | medium | What is the mode of 12 19 12 4 12 11 12? | 12 | 12 | 10 | 13 | 15 | Statistical measure calculation |
655 | algebra | medium | Find x: x² = 25 | 5 | 3 | 6 | 5 | 8 | Algebraic manipulation and solving |
154 | arithmetic | medium | What is 8²? | 64 | 79 | 54 | 72 | 64 | Standard arithmetic calculation |
2,178 | calculus | easy | Evaluate ∫x^2 dx | x^3/3 + C | x^2 + C | x^4/4 + C | x^3/3 + C | 2x^1 + C | Calculus differentiation and integration |
598 | algebra | medium | Solve: 2x - 12 = 16 | 14 | 15 | 17 | 12 | 14 | Algebraic manipulation and solving |
2,927 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 7 | 6 | 5 | 8 | Probability calculation and expected value |
2,059 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 1/2 | 2/2 | 0/2 | Fraction arithmetic and simplification |
2,826 | 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 |
599 | algebra | medium | Solve: 6x - 14 = 24 | 6 | 4 | 7 | 6 | 9 | Algebraic manipulation and solving |
2,256 | calculus | medium | What is d/dx(5x^4 - 4x + 1)? | 20x^3 - 4 | 20x^3 - 1 | 20x^3 - 4 | 20x^4 - 4 | 5x^3 - 4 | Calculus differentiation and integration |
4,936 | 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 |
493 | algebra | easy | Solve for x: x + 12 = 20 | 8 | 8 | 6 | 11 | 9 | Algebraic manipulation and solving |
3,809 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | Depends on context | False | True | Logical reasoning and boolean operations |
2,933 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 8 | 5 | 7 | Probability calculation and expected value |
323 | arithmetic | hard | Calculate (3^4 × 3) ÷ 5 | 48 | 43 | 48 | 51 | 56 | Standard arithmetic calculation |
2,970 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 1/2 | 1/4 | 2/3 | Probability calculation and expected value |
4,969 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 24 | 60 | 48 | Permutations and combinations |
3,075 | 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 |
4,935 | 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 |
2,601 | trigonometry | easy | Find cos(0°) | 1 | 1 | 1/2 | 0 | -1 | Trigonometric functions and identities |
4,292 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [3, 6] | [2, 7] | [3, 7] | Vector operations and matrix calculations |
4,508 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 6 | 5 | 4 | Vector operations and matrix calculations |
755 | algebra | hard | Solve: x² + -10x + 16 = 0 | x = 2 or x = 8 | x = 1 or x = 9 | x = 2 or x = 8 | x = -2 or x = -8 | x = 3 or x = 7 | Algebraic manipulation and solving |
2,377 | 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 |
3,409 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 4 | 6 | 3 | 5 | Number theory and modular arithmetic |
2,864 | 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 |
350 | arithmetic | hard | Calculate (4^3 × 4) ÷ 9 | 28 | 31 | 28 | 36 | 23 | Standard arithmetic calculation |
4,347 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 8 | 11 | 10 | Vector operations and matrix calculations |
4,375 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 8 | 10 | 11 | Vector operations and matrix calculations |
4,131 | 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 |
708 | algebra | hard | Solve: x² + -10x + 16 = 0 | x = 2 or x = 8 | x = 1 or x = 9 | x = 2 or x = 8 | x = -2 or x = -8 | x = 3 or x = 7 | Algebraic manipulation and solving |
4,411 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 9 | 11 | 10 | Vector operations and matrix calculations |
2,238 | calculus | medium | What is d/dx(4x^3 - 3x + 1)? | 12x^2 - 3 | 4x^2 - 3 | 12x^2 - 1 | 12x^3 - 3 | 12x^2 - 3 | Calculus differentiation and integration |
193 | arithmetic | medium | Calculate 126 ÷ 14 | 9 | 9 | 7 | 10 | 12 | Standard arithmetic calculation |
3,757 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | animal | pet | cat | mammal | Logical reasoning and boolean operations |
918 | geometry | easy | How many sides does a heptagon have? | 7 | 9 | 6 | 7 | 8 | Geometric calculation and spatial reasoning |
3,150 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/12 | 1/13 | 1/14 | 1/15 | Probability calculation and expected value |
1,389 | statistics | easy | What is the mean of 18 17 16 13? | 16 | 16 | 17 | 14 | 18 | Statistical measure calculation |
4,477 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 4 | 3 | 5 | Vector operations and matrix calculations |
3,042 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 7 | 8 | 6 | 5 | Probability calculation and expected value |
2,604 | trigonometry | easy | What is sin(180°)? | 0 | -1 | 0 | 1 | 0 | Trigonometric functions and identities |
2,510 | trigonometry | easy | Calculate tan(0°) | 0 | 0 | undefined | 1 | -1 | Trigonometric functions and identities |
2 | arithmetic | easy | What is 59 + 51? | 110 | 111 | 110 | 108 | 113 | Standard arithmetic calculation |
2,995 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/2 | 1/3 | 2/3 | 1/4 | Probability calculation and expected value |
2,317 | calculus | medium | What is d/dx(5x^3 - 1x + 1)? | 15x^2 - 1 | 15x^2 - 1 | 5x^2 - 1 | 15x^3 - 1 | 15x^2 - 1 | Calculus differentiation and integration |
4,018 | 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 |
1,014 | geometry | medium | Find the area of a circle with radius 7 (use π ≈ 3.14) | 153.94 | 157.14 | 155.74 | 153.94 | 151.44 | Geometric calculation and spatial reasoning |
1,689 | fractions | easy | What is 1/2 + 1/4? | 3/4 | 2/4 | 4/4 | 3/4 | 3/5 | Fraction arithmetic and simplification |
1,945 | fractions | medium | Divide 5/3 ÷ 4/7 | 35/12 | 35/12 | 35/13 | 36/12 | 12/35 | Fraction arithmetic and simplification |
1,785 | fractions | easy | Simplify 12/8 | 3/2 | 11/7 | 13/9 | 3/2 | 6/4 | Fraction arithmetic and simplification |
1,505 | statistics | medium | Calculate the range of 3 12 10 15 11 12 6 | 12 | 13 | 12 | 15 | 10 | Statistical measure calculation |
1,525 | statistics | medium | What is the mode of 14 7 7 6 18 14 7? | 7 | 10 | 8 | 7 | 5 | Statistical measure calculation |
2,117 | calculus | easy | Evaluate ∫x^3 dx | x^4/4 + C | x^5/5 + C | x^4/4 + C | x^3 + C | 3x^2 + C | Calculus differentiation and integration |
1,818 | fractions | medium | Divide 5/8 ÷ 3/4 | 5/6 | 5/6 | 6/5 | 6/6 | 5/7 | Fraction arithmetic and simplification |
1,354 | statistics | easy | Find the median of 16 5 2 8 3 16 8 6 | 7 | 8 | 9 | 7 | 5 | Statistical measure calculation |
2,935 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/2 | 1/3 | 2/3 | 1/4 | Probability calculation and expected value |
428 | algebra | easy | What is 3x when x = 6? | 18 | 20 | 15 | 18 | 23 | Algebraic manipulation and solving |
2,924 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 7 | 8 | 6 | 5 | Probability calculation and expected value |
3,823 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | animal | mammal | pet | cat | Logical reasoning and boolean operations |
119 | arithmetic | easy | Calculate 32 - 17 | 15 | 17 | 14 | 16 | 15 | Standard arithmetic calculation |
2,615 | trigonometry | easy | What is sin(30°)? | 0.5 | 0 | 1 | 0.5 | -1 | Trigonometric functions and identities |
4,019 | logic | medium | What is NOT(True AND False)? | True | Depends on values | Cannot determine | True | False | Logical reasoning and boolean operations |
389 | arithmetic | hard | Calculate (6^3 × 3) ÷ 5 | 129 | 137 | 132 | 124 | 129 | Standard arithmetic calculation |
1,636 | 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 |
1,167 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 16 | 18 | 15 | 17 | Geometric calculation and spatial reasoning |
4,022 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Cannot determine | Q is false | Q is true | P is false | Logical reasoning and boolean operations |
1,587 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 1.74 | 2.24 | 2.94 | Statistical measure calculation |
3,432 | number_theory | easy | Is 13 a prime number? | Yes | No | Cannot determine | Yes | Only if x>0 | Number theory and modular arithmetic |
4,036 | 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 | False | True | Logical reasoning and boolean operations |
520 | algebra | easy | What is 4x when x = 9? | 36 | 36 | 33 | 38 | 41 | Algebraic manipulation and solving |
2,503 | trigonometry | easy | Find cos(90°) | 0 | -1 | 0 | 0 | 1 | Trigonometric functions and identities |
4,863 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 24 | 120 | 48 | 60 | Permutations and combinations |
916 | geometry | easy | What is the area of a rectangle with length 6 and width 8? | 48 | 56 | 43 | 48 | 51 | Geometric calculation and spatial reasoning |
1,111 | geometry | medium | What is the volume of a cube with side length 7? | 343 | 343 | 323 | 358 | 378 | Geometric calculation and spatial reasoning |
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