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 |
|---|---|---|---|---|---|---|---|---|---|
2,197 | calculus | easy | Evaluate ∫x^2 dx | x^3/3 + C | 2x^1 + C | x^3/3 + C | x^2 + C | x^4/4 + C | Calculus differentiation and integration |
434 | algebra | easy | Solve for x: x + 5 = 12 | 7 | 8 | 10 | 7 | 5 | Algebraic manipulation and solving |
4,086 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | Cannot determine | Depends on other variables | True | Logical reasoning and boolean operations |
896 | geometry | easy | How many sides does a hexagon have? | 6 | 6 | 7 | 5 | 8 | Geometric calculation and spatial reasoning |
3,754 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | True | Cannot determine | Depends on context | False | Logical reasoning and boolean operations |
1,056 | geometry | medium | What is the volume of a cube with side length 6? | 216 | 251 | 231 | 216 | 196 | Geometric calculation and spatial reasoning |
2,986 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 7 | 5 | 8 | Probability calculation and expected value |
2,791 | 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 |
4,681 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 720 | 12 | 120 | 36 | Permutations and combinations |
1,974 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 0/2 | 1/3 | 2/2 | Fraction arithmetic and simplification |
4,583 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 6 | 3 | Vector operations and matrix calculations |
4,730 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 60 | 75 | 125 | Permutations and combinations |
643 | algebra | medium | Solve: 4x - 10 = 10 | 5 | 5 | 8 | 3 | 6 | Algebraic manipulation and solving |
2,375 | 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 |
4,312 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 8 | 10 | 11 | Vector operations and matrix calculations |
3,797 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | Cannot determine | True | Depends on context | Logical reasoning and boolean operations |
4,592 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 24 | 10 | 25 | 120 | Permutations and combinations |
563 | algebra | medium | Find x: x² = 25 | 5 | 5 | 6 | 8 | 3 | Algebraic manipulation and solving |
284 | arithmetic | hard | Calculate (6^4 × 2) ÷ 5 | 518 | 526 | 518 | 513 | 521 | Standard arithmetic calculation |
3,686 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 2 | 4 | 3 | Number theory and modular arithmetic |
3,367 | number_theory | easy | Is 19 a prime number? | Yes | Yes | No | Cannot determine | Only if x>0 | Number theory and modular arithmetic |
4,236 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 7] | [2, 7] | [4, 7] | [3, 6] | Vector operations and matrix calculations |
4,183 | linear_algebra | easy | Calculate 2 × [2, 3] | [4, 6] | [3, 6] | [4, 5] | [4, 6] | [5, 6] | Vector operations and matrix calculations |
4,793 | 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 |
1,688 | fractions | easy | Simplify 24/36 | 2/3 | 23/35 | 2/3 | 12/18 | 25/37 | Fraction arithmetic and simplification |
4,369 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 10 | 9 | 8 | Vector operations and matrix calculations |
4,535 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 6 | 5 | 3 | Vector operations and matrix calculations |
730 | algebra | hard | Solve: x² + -4x + 4 = 0 | x = 2 or x = 2 | x = 1 or x = 3 | x = 2 or x = 2 | x = -2 or x = -2 | x = 3 or x = 1 | Algebraic manipulation and solving |
1,919 | fractions | medium | Divide 5/3 ÷ 1/2 | 10/3 | 10/3 | 10/4 | 11/3 | 3/10 | Fraction arithmetic and simplification |
1,686 | fractions | easy | What is 1/3 + 1/3? | 2/3 | 2/3 | 1/3 | 3/3 | 2/4 | Fraction arithmetic and simplification |
3,759 | 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 |
2,091 | calculus | easy | Find d/dx(x^3) | 3x^2 | x^2 | x^3 | 3x^3 | 3x^2 | Calculus differentiation and integration |
3,933 | 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 |
1,450 | statistics | medium | Calculate the range of 12 15 16 13 5 4 14 15 | 12 | 15 | 10 | 12 | 13 | Statistical measure calculation |
1,797 | fractions | easy | Simplify 12/54 | 2/9 | 11/53 | 13/55 | 2/9 | 6/27 | Fraction arithmetic and simplification |
4,010 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Cannot determine | Q is true | Q is false | P is false | Logical reasoning and boolean operations |
4,034 | 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 |
3,083 | 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 |
80 | arithmetic | easy | What is 83 + 46? | 129 | 127 | 130 | 129 | 132 | Standard arithmetic calculation |
42 | arithmetic | easy | Calculate 99 - 38 | 61 | 63 | 62 | 61 | 60 | Standard arithmetic calculation |
3,077 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/32 | 1/36 | 1/35 | 1/30 | Probability calculation and expected value |
1,872 | fractions | medium | Calculate 1/2 × 5/8 | 5/16 | 5/17 | 6/16 | 5/16 | 16/5 | Fraction arithmetic and simplification |
4,780 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 75 | 60 | 50 | Permutations and combinations |
688 | algebra | medium | Solve: 5x - 13 = 10 | 4 | 4 | 7 | 2 | 5 | Algebraic manipulation and solving |
2,682 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 2 | 0 | 1 | Trigonometric functions and identities |
775 | 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 |
2,500 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | 2x cos(x²) | 2x sin(x²) | cos(x²) | Calculus differentiation and integration |
4,052 | 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 |
4,733 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 50 | 75 | 125 | Permutations and combinations |
1,192 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 13 | 11 | 14 | 12 | Geometric calculation and spatial reasoning |
1,390 | statistics | easy | Find the median of 19 4 5 9 | 7 | 7 | 8 | 9 | 5 | Statistical measure calculation |
2,945 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 7 | 8 | 6 | Probability calculation and expected value |
4,531 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
3,190 | 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 |
4,598 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 120 | 24 | 25 | 10 | Permutations and combinations |
737 | algebra | hard | Solve: x² + -7x + 12 = 0 | x = 4 or x = 3 | x = 3 or x = 4 | x = 4 or x = 3 | x = -4 or x = -3 | x = 5 or x = 2 | Algebraic manipulation and solving |
3,653 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 2 | 1 | 3 | Number theory and modular arithmetic |
3,385 | number_theory | easy | What is the GCD of 14 and 21? | 7 | 8 | 7 | 5 | 6 | Number theory and modular arithmetic |
440 | algebra | easy | What is 2x when x = 7? | 14 | 16 | 19 | 14 | 11 | Algebraic manipulation and solving |
3,116 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/35 | 1/30 | 1/36 | 1/32 | Probability calculation and expected value |
4,754 | 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 |
3,785 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | Depends on context | Cannot determine | True | Logical reasoning and boolean operations |
2,118 | calculus | easy | Evaluate ∫x^3 dx | x^4/4 + C | x^4/4 + C | x^5/5 + C | x^3 + C | 3x^2 + C | Calculus differentiation and integration |
1,509 | statistics | medium | Calculate the range of 7 17 16 10 8 12 | 10 | 8 | 13 | 11 | 10 | Statistical measure calculation |
4,307 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [7, 9] | [6, 9] | [6, 8] | [5, 9] | Vector operations and matrix calculations |
3,855 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | Depends on context | Cannot determine | True | Logical reasoning and boolean operations |
1,941 | fractions | medium | Calculate 2/7 × 2/5 | 4/35 | 5/35 | 4/36 | 4/35 | 35/4 | Fraction arithmetic and simplification |
3,622 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 4 | 1 | Number theory and modular arithmetic |
308 | arithmetic | hard | Calculate (4^4 × 4) ÷ 9 | 113 | 116 | 121 | 113 | 108 | Standard arithmetic calculation |
1,320 | statistics | easy | Find the median of 4 9 7 14 7 | 7 | 7 | 5 | 8 | 9 | Statistical measure calculation |
695 | algebra | medium | Solve: 2x - 11 = 16 | 13 | 11 | 13 | 16 | 14 | Algebraic manipulation and solving |
4,545 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 5 | 3 | 6 | Vector operations and matrix calculations |
678 | algebra | medium | Find x: x² = 36 | 6 | 9 | 6 | 7 | 4 | Algebraic manipulation and solving |
2,771 | trigonometry | medium | What is tan(45°)? | 1 | 1 | 0 | √3 | √2 | Trigonometric functions and identities |
4,833 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 60 | 75 | 125 | Permutations and combinations |
570 | algebra | medium | Find x: x² = 100 | 10 | 10 | 8 | 13 | 11 | Algebraic manipulation and solving |
672 | algebra | medium | Solve: 5x - 8 = 22 | 6 | 9 | 6 | 4 | 7 | Algebraic manipulation and solving |
717 | algebra | hard | Solve: x² + -12x + 35 = 0 | x = 7 or x = 5 | x = 6 or x = 6 | x = 7 or x = 5 | x = -7 or x = -5 | x = 8 or x = 4 | Algebraic manipulation and solving |
4,820 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 125 | 75 | 60 | Permutations and combinations |
1,710 | fractions | easy | What is 1/3 + 1/3? | 2/3 | 1/3 | 3/3 | 2/4 | 2/3 | Fraction arithmetic and simplification |
1,866 | fractions | medium | Calculate 1/2 × 1/3 | 1/6 | 1/7 | 2/6 | 6/1 | 1/6 | Fraction arithmetic and simplification |
3,306 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 3 | 4.5 | Probability calculation and expected value |
1,082 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 25.77 | 28.27 | 30.07 | 31.47 | Geometric calculation and spatial reasoning |
920 | geometry | easy | What is the area of a rectangle with length 11 and width 9? | 99 | 99 | 107 | 102 | 94 | Geometric calculation and spatial reasoning |
4,463 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 4 | 5 | 3 | Vector operations and matrix calculations |
1,061 | geometry | medium | What is the volume of a cube with side length 6? | 216 | 251 | 216 | 196 | 231 | Geometric calculation and spatial reasoning |
3,508 | number_theory | medium | How many factors does 30 have? | 8 | 9 | 7 | 8 | 6 | Number theory and modular arithmetic |
4,984 | 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 |
1,751 | fractions | easy | Simplify 48/24 | 2/1 | 49/25 | 24/12 | 47/23 | 2/1 | Fraction arithmetic and simplification |
1,031 | geometry | medium | What is the volume of a cube with side length 6? | 216 | 251 | 196 | 231 | 216 | Geometric calculation and spatial reasoning |
1,233 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 18 | 16 | 15 | Geometric calculation and spatial reasoning |
1,140 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 4 | 5 | 6 | 3 | Geometric calculation and spatial reasoning |
1,244 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 14 | 11 | 12 | 13 | Geometric calculation and spatial reasoning |
1,047 | geometry | medium | Find the area of a circle with radius 4 (use π ≈ 3.14) | 50.27 | 47.77 | 53.47 | 50.27 | 52.07 | Geometric calculation and spatial reasoning |
7 | arithmetic | easy | Calculate 66 - 10 | 56 | 56 | 57 | 55 | 58 | Standard arithmetic calculation |
3,403 | number_theory | easy | Is 29 a prime number? | Yes | No | Cannot determine | Only if x>0 | Yes | Number theory and modular arithmetic |
2,454 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | cos(x²) | Calculus differentiation and integration |
123 | arithmetic | easy | Find 9 × 5 | 45 | 45 | 42 | 47 | 50 | Standard arithmetic calculation |
2,735 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | 2 | sin(2x) | 0 | Trigonometric functions and identities |
1,129 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 16 | 15 | 18 | Geometric calculation and spatial reasoning |
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