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 |
|---|---|---|---|---|---|---|---|---|---|
2,236 | calculus | medium | What is d/dx(4x^2 - 5x + 1)? | 8x^1 - 5 | 8x^2 - 5 | 8x^1 - 1 | 4x^1 - 5 | 8x^1 - 5 | Calculus differentiation and integration |
4,467 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 5 | 4 | 3 | Vector operations and matrix calculations |
2,628 | trigonometry | easy | What is sin(45°)? | 0.71 | 1 | -1 | 0 | 0.71 | Trigonometric functions and identities |
1,210 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 15 | 18 | 16 | Geometric calculation and spatial reasoning |
619 | algebra | medium | Find x: x² = 49 | 7 | 5 | 8 | 10 | 7 | Algebraic manipulation and solving |
3,384 | number_theory | easy | Is 31 a prime number? | Yes | Cannot determine | No | Only if x>0 | Yes | Number theory and modular arithmetic |
1,001 | geometry | medium | What is the volume of a cube with side length 5? | 125 | 105 | 125 | 160 | 140 | Geometric calculation and spatial reasoning |
534 | algebra | easy | Solve for x: x + 10 = 15 | 5 | 3 | 5 | 6 | 8 | Algebraic manipulation and solving |
949 | geometry | easy | What is the area of a rectangle with length 6 and width 8? | 48 | 51 | 48 | 43 | 56 | Geometric calculation and spatial reasoning |
3,898 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | P is false | Q is false | Q is true | Cannot determine | Logical reasoning and boolean operations |
1,599 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 2.54 | 2.94 | 1.74 | Statistical measure calculation |
422 | algebra | easy | What is 4x when x = 7? | 28 | 33 | 25 | 30 | 28 | Algebraic manipulation and solving |
3,366 | number_theory | easy | What is the GCD of 12 and 18? | 6 | 5 | 4 | 6 | 7 | Number theory and modular arithmetic |
1,178 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 6 | 4 | 5 | 3 | Geometric calculation and spatial reasoning |
1,304 | statistics | easy | Find the median of 20 11 15 8 14 10 | 12.5 | 10.5 | 12.5 | 13.5 | 14.5 | Statistical measure calculation |
3,800 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | cat | animal | mammal | pet | Logical reasoning and boolean operations |
31 | arithmetic | easy | Find 5 × 8 | 40 | 40 | 42 | 45 | 37 | Standard arithmetic calculation |
4,701 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 120 | 720 | 36 | 12 | Permutations and combinations |
2,853 | 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 |
4,198 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 7] | [4, 7] | [2, 7] | [3, 6] | Vector operations and matrix calculations |
2,061 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/3 | 0/2 | 1/2 | Fraction arithmetic and simplification |
2,714 | trigonometry | medium | What is tan(45°)? | 1 | 0 | √3 | √2 | 1 | Trigonometric functions and identities |
825 | algebra | hard | Solve: x² + -11x + 24 = 0 | x = 3 or x = 8 | x = 2 or x = 9 | x = 3 or x = 8 | x = -3 or x = -8 | x = 4 or x = 7 | Algebraic manipulation and solving |
4,961 | 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 |
2,525 | trigonometry | easy | What is sin(60°)? | 0.87 | 1 | 0.87 | 0 | -1 | Trigonometric functions and identities |
199 | arithmetic | medium | Calculate 216 ÷ 12 | 18 | 21 | 16 | 18 | 19 | Standard arithmetic calculation |
1,965 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 2/2 | 1/3 | 1/2 | Fraction arithmetic and simplification |
2,473 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(x²) | cos(2x) | 2x cos(x²) | 2x sin(x²) | Calculus differentiation and integration |
3,104 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/12 | 1/14 | 1/13 | 1/15 | Probability calculation and expected value |
1,740 | fractions | easy | Simplify 24/42 | 4/7 | 25/43 | 12/21 | 4/7 | 23/41 | Fraction arithmetic and simplification |
1,113 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 13 | 16 | 14 | 15 | Geometric calculation and spatial reasoning |
1,892 | fractions | medium | Calculate 1/2 × 6/5 | 3/5 | 3/5 | 5/3 | 4/5 | 3/6 | Fraction arithmetic and simplification |
881 | geometry | easy | How many sides does a octagon have? | 8 | 9 | 7 | 10 | 8 | Geometric calculation and spatial reasoning |
3,518 | number_theory | medium | Find LCM of 9 and 15 | 45 | 60 | 45 | 50 | 35 | Number theory and modular arithmetic |
1,862 | fractions | medium | Divide 1/3 ÷ 2/5 | 5/6 | 6/5 | 5/7 | 6/6 | 5/6 | Fraction arithmetic and simplification |
442 | algebra | easy | What is 6x when x = 8? | 48 | 50 | 45 | 48 | 53 | Algebraic manipulation and solving |
1,294 | statistics | easy | Find the median of 5 4 9 4 17 3 9 8 | 6.5 | 8.5 | 4.5 | 6.5 | 7.5 | Statistical measure calculation |
4,153 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | True | Cannot determine | False | Depends on other variables | Logical reasoning and boolean operations |
2,206 | calculus | easy | Evaluate ∫x^3 dx | x^4/4 + C | x^5/5 + C | 3x^2 + C | x^3 + C | x^4/4 + C | Calculus differentiation and integration |
1,076 | geometry | medium | What is the volume of a cube with side length 5? | 125 | 140 | 160 | 125 | 105 | Geometric calculation and spatial reasoning |
1,560 | 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 |
697 | algebra | hard | Solve: x² + -10x + 21 = 0 | x = 7 or x = 3 | x = 6 or x = 4 | x = 7 or x = 3 | x = -7 or x = -3 | x = 8 or x = 2 | Algebraic manipulation and solving |
2,565 | trigonometry | easy | What is sin(30°)? | 0.5 | -1 | 0 | 0.5 | 1 | Trigonometric functions and identities |
1,148 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 16 | 14 | 13 | 15 | Geometric calculation and spatial reasoning |
1,387 | statistics | easy | Find the median of 4 16 10 11 16 15 | 13 | 14 | 11 | 13 | 15 | Statistical measure calculation |
4,964 | 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 |
2,909 | 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 |
3,944 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is true | Cannot determine | Q is false | P is false | Logical reasoning and boolean operations |
2,094 | calculus | easy | Find d/dx(x^3) | 3x^2 | x^2 | 3x^2 | x^3 | 3x^3 | Calculus differentiation and integration |
2,078 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 2/2 | 1/2 | 1/3 | Fraction arithmetic and simplification |
4,808 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 60 | 50 | 75 | Permutations and combinations |
2,482 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | 2x cos(x²) | cos(2x) | cos(x²) | Calculus differentiation and integration |
378 | arithmetic | hard | Calculate (4^3 × 4) ÷ 6 | 42 | 37 | 42 | 45 | 50 | Standard arithmetic calculation |
945 | geometry | easy | How many sides does a hexagon have? | 6 | 6 | 7 | 5 | 8 | Geometric calculation and spatial reasoning |
2,410 | 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 |
4,111 | 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 |
4,118 | 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 |
1,723 | fractions | easy | Simplify 20/15 | 4/3 | 4/3 | 21/16 | 10/7 | 19/14 | Fraction arithmetic and simplification |
2,316 | calculus | medium | What is d/dx(3x^2 - 4x + 1)? | 6x^1 - 4 | 6x^1 - 1 | 3x^1 - 4 | 6x^1 - 4 | 6x^2 - 4 | Calculus differentiation and integration |
1,358 | statistics | easy | What is the mean of 8 14 19 12 3 8 2 18? | 10.5 | 10.5 | 12.5 | 11.5 | 8.5 | Statistical measure calculation |
406 | arithmetic | hard | Calculate (4^3 × 3) ÷ 5 | 38 | 38 | 33 | 46 | 41 | Standard arithmetic calculation |
2,116 | calculus | easy | Find d/dx(x^4) | 4x^3 | x^3 | 4x^4 | 4x^3 | x^4 | Calculus differentiation and integration |
3,093 | 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 |
4,983 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 120 | 24 | 48 | Permutations and combinations |
2,152 | calculus | easy | Evaluate ∫x^4 dx | x^5/5 + C | 4x^3 + C | x^6/6 + C | x^4 + C | x^5/5 + C | Calculus differentiation and integration |
1,829 | fractions | medium | Calculate 4/3 × 3/5 | 4/5 | 5/5 | 4/6 | 4/5 | 5/4 | Fraction arithmetic and simplification |
4,452 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 6 | 4 | Vector operations and matrix calculations |
1,297 | statistics | easy | Find the median of 5 15 11 17 19 15 | 15 | 15 | 16 | 17 | 13 | Statistical measure calculation |
4,929 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 48 | 120 | 24 | Permutations and combinations |
769 | algebra | hard | Solve: x² + -10x + 21 = 0 | x = 7 or x = 3 | x = 6 or x = 4 | x = 7 or x = 3 | x = -7 or x = -3 | x = 8 or x = 2 | Algebraic manipulation and solving |
3,959 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is true | Cannot determine | Q is false | P is false | Logical reasoning and boolean operations |
2,769 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | sin(2x) | 1 | 2 | Trigonometric functions and identities |
1,809 | fractions | medium | Calculate 1/3 × 6/7 | 2/7 | 7/2 | 2/7 | 2/8 | 3/7 | Fraction arithmetic and simplification |
1,224 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 16 | 13 | 14 | 15 | Geometric calculation and spatial reasoning |
3,551 | number_theory | medium | How many factors does 30 have? | 8 | 7 | 9 | 6 | 8 | Number theory and modular arithmetic |
2,137 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^4 | 5x^5 | x^5 | 5x^4 | Calculus differentiation and integration |
1,418 | statistics | medium | Calculate the range of 16 18 18 19 8 15 11 | 11 | 14 | 11 | 12 | 9 | Statistical measure calculation |
2,880 | 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 |
3,950 | logic | medium | What is NOT(True AND False)? | True | Cannot determine | Depends on values | False | True | Logical reasoning and boolean operations |
1,529 | statistics | medium | Calculate the range of 2 11 14 17 10 3 | 15 | 15 | 16 | 18 | 13 | Statistical measure calculation |
3,832 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | pet | cat | mammal | animal | Logical reasoning and boolean operations |
1,840 | fractions | medium | Divide 1 ÷ 2/5 | 5/2 | 6/2 | 5/2 | 2/5 | 5/3 | Fraction arithmetic and simplification |
2,074 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 0/2 | 1/3 | 2/2 | Fraction arithmetic and simplification |
2,486 | 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 |
1,277 | statistics | easy | What is the mean of 7 11 18 3 17 15? | 11.8 | 12.8 | 11.8 | 9.8 | 13.8 | Statistical measure calculation |
3,894 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is false | Q is true | Cannot determine | P is false | Logical reasoning and boolean operations |
1,794 | fractions | easy | What is 1/3 + 1/6? | 1/2 | 1/3 | 2/2 | 1/2 | 0/2 | Fraction arithmetic and simplification |
3,576 | number_theory | medium | How many factors does 24 have? | 8 | 7 | 6 | 8 | 9 | Number theory and modular arithmetic |
546 | algebra | easy | What is 2x when x = 6? | 12 | 9 | 17 | 14 | 12 | Algebraic manipulation and solving |
1,334 | statistics | easy | What is the mean of 3 19 2 2? | 6.5 | 8.5 | 7.5 | 6.5 | 4.5 | Statistical measure calculation |
1,115 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 15 | 14 | 16 | 13 | Geometric calculation and spatial reasoning |
3 | arithmetic | easy | Calculate 85 - 50 | 35 | 34 | 37 | 35 | 36 | Standard arithmetic calculation |
2,006 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 2/2 | 1/2 | 1/3 | Fraction arithmetic and simplification |
135 | arithmetic | easy | Calculate 87 - 72 | 15 | 14 | 17 | 16 | 15 | Standard arithmetic calculation |
1,771 | fractions | easy | Simplify 36/36 | 1/1 | 37/37 | 18/18 | 1/1 | 35/35 | Fraction arithmetic and simplification |
3,659 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 1 | 2 | 4 | Number theory and modular arithmetic |
2,982 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 8 | 6 | 7 | Probability calculation and expected value |
462 | algebra | easy | Solve for x: x + 13 = 25 | 12 | 13 | 15 | 12 | 10 | Algebraic manipulation and solving |
3,626 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 2 | 3 | 4 | Number theory and modular arithmetic |
2,404 | 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 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.