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 |
|---|---|---|---|---|---|---|---|---|---|
2,796 | 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 |
4,384 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 10 | 8 | Vector operations and matrix calculations |
1,235 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 16 | 13 | 14 | 15 | Geometric calculation and spatial reasoning |
855 | geometry | easy | How many sides does a hexagon have? | 6 | 8 | 7 | 5 | 6 | Geometric calculation and spatial reasoning |
2,890 | 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 |
73 | arithmetic | easy | Find 7 × 8 | 56 | 56 | 53 | 61 | 58 | Standard arithmetic calculation |
1,728 | fractions | easy | Simplify 18/18 | 1/1 | 17/17 | 19/19 | 9/9 | 1/1 | Fraction arithmetic and simplification |
4,918 | 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 |
1,885 | fractions | medium | Divide 3/7 ÷ 2/3 | 9/14 | 9/15 | 9/14 | 14/9 | 10/14 | Fraction arithmetic and simplification |
4,618 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 4 | 8 | 5 | 6 | Permutations and combinations |
369 | arithmetic | hard | Calculate (5^3 × 2) ÷ 5 | 50 | 45 | 53 | 58 | 50 | Standard arithmetic calculation |
3,802 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | True | Depends on context | False | Logical reasoning and boolean operations |
3,888 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | Cannot determine | Depends on context | True | Logical reasoning and boolean operations |
4,802 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 60 | 50 | 125 | Permutations and combinations |
2,838 | 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 |
4,135 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Cannot determine | False | Depends on other variables | True | Logical reasoning and boolean operations |
1,582 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 2.94 | 2.54 | 1.74 | Statistical measure calculation |
3,428 | number_theory | easy | Is 31 a prime number? | Yes | Only if x>0 | Cannot determine | Yes | No | Number theory and modular arithmetic |
1,820 | fractions | medium | Calculate 4/3 × 1/2 | 2/3 | 2/4 | 2/3 | 3/3 | 3/2 | Fraction arithmetic and simplification |
793 | algebra | hard | Solve: x² + -11x + 30 = 0 | x = 5 or x = 6 | x = 4 or x = 7 | x = 5 or x = 6 | x = -5 or x = -6 | x = 6 or x = 5 | Algebraic manipulation and solving |
279 | arithmetic | hard | Calculate (6^4 × 4) ÷ 5 | 1036 | 1039 | 1031 | 1036 | 1044 | Standard arithmetic calculation |
4,378 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 9 | 8 | 10 | Vector operations and matrix calculations |
1,551 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 1.74 | 2.54 | 2.94 | Statistical measure calculation |
55 | arithmetic | easy | Calculate 81 - 23 | 58 | 57 | 59 | 60 | 58 | Standard arithmetic calculation |
4,540 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 3 | 4 | 5 | Vector operations and matrix calculations |
4,268 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [3, 6] | [3, 7] | [2, 7] | Vector operations and matrix calculations |
712 | algebra | hard | Solve: x² + -11x + 30 = 0 | x = 6 or x = 5 | x = 5 or x = 6 | x = 6 or x = 5 | x = -6 or x = -5 | x = 7 or x = 4 | Algebraic manipulation and solving |
4,606 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 8 | 5 | 4 | Permutations and combinations |
1,092 | geometry | medium | What is the volume of a cube with side length 6? | 216 | 231 | 196 | 216 | 251 | Geometric calculation and spatial reasoning |
2,440 | 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 |
310 | arithmetic | hard | Calculate (3^4 × 4) ÷ 8 | 40 | 40 | 48 | 43 | 35 | Standard arithmetic calculation |
1,921 | fractions | medium | Calculate 5/4 × 1/3 | 5/12 | 5/12 | 6/12 | 12/5 | 5/13 | Fraction arithmetic and simplification |
2,310 | calculus | medium | What is d/dx(3x^2 - 6x + 1)? | 6x^1 - 6 | 6x^1 - 6 | 3x^1 - 6 | 6x^1 - 1 | 6x^2 - 6 | Calculus differentiation and integration |
4,555 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
2,869 | 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 |
2,605 | trigonometry | easy | What is sin(60°)? | 0.87 | 0.87 | 0 | -1 | 1 | Trigonometric functions and identities |
1,858 | fractions | medium | Divide 4/5 ÷ 1 | 4/5 | 4/6 | 4/5 | 5/5 | 5/4 | Fraction arithmetic and simplification |
3,692 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 1 | 2 | 4 | Number theory and modular arithmetic |
885 | geometry | easy | What is the area of a rectangle with length 6 and width 4? | 24 | 24 | 27 | 32 | 19 | Geometric calculation and spatial reasoning |
1,765 | fractions | easy | Simplify 18/18 | 1/1 | 9/9 | 17/17 | 19/19 | 1/1 | Fraction arithmetic and simplification |
17 | arithmetic | easy | Calculate 59 - 58 | 1 | 0 | 2 | 1 | 3 | Standard arithmetic calculation |
3,168 | 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 |
3,813 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | True | Depends on context | Cannot determine | False | Logical reasoning and boolean operations |
1,341 | statistics | easy | Find the median of 7 9 16 14 14 9 | 11.5 | 13.5 | 9.5 | 12.5 | 11.5 | Statistical measure calculation |
2,230 | calculus | medium | What is d/dx(3x^4 - 1x + 1)? | 12x^3 - 1 | 12x^4 - 1 | 12x^3 - 1 | 3x^3 - 1 | 12x^3 - 1 | Calculus differentiation and integration |
3,135 | 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 |
4,718 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 8 | 4 | 5 | Permutations and combinations |
618 | algebra | medium | Solve: 2x - 7 = 22 | 14 | 14 | 17 | 15 | 12 | Algebraic manipulation and solving |
3,993 | 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 | Q is false | Cannot determine | Logical reasoning and boolean operations |
4,410 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 8 | 10 | Vector operations and matrix calculations |
3,029 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 7 | 8 | 5 | Probability calculation and expected value |
1,722 | fractions | easy | What is 1/4 + 1/4? | 1/2 | 1/3 | 0/2 | 1/2 | 2/2 | Fraction arithmetic and simplification |
2,160 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^5 | 5x^5 | x^4 | 5x^4 | Calculus differentiation and integration |
159 | arithmetic | medium | What is 25% of 96? | 24 | 29 | 24 | 34 | 19 | Standard arithmetic calculation |
147 | arithmetic | medium | What is 40% of 157? | 62 | 57 | 67 | 72 | 62 | Standard arithmetic calculation |
3,137 | 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 |
3,793 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | mammal | pet | cat | animal | Logical reasoning and boolean operations |
4,765 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 60 | 125 | 75 | Permutations and combinations |
1,415 | statistics | medium | Calculate the range of 6 18 20 18 8 7 20 | 14 | 15 | 17 | 12 | 14 | Statistical measure calculation |
1,000 | geometry | medium | Find the area of a circle with radius 5 (use π ≈ 3.14) | 78.54 | 78.54 | 80.34 | 81.74 | 76.04 | Geometric calculation and spatial reasoning |
3,986 | logic | medium | What is NOT(True AND False)? | True | True | Cannot determine | Depends on values | False | Logical reasoning and boolean operations |
1,906 | fractions | medium | Calculate 2/3 × 1/2 | 1/3 | 3/1 | 1/4 | 1/3 | 2/3 | Fraction arithmetic and simplification |
1,569 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 2.24 | 2.54 | 1.74 | Statistical measure calculation |
879 | geometry | easy | How many sides does a pentagon have? | 5 | 5 | 4 | 7 | 6 | Geometric calculation and spatial reasoning |
1,023 | geometry | medium | Find the area of a circle with radius 4 (use π ≈ 3.14) | 50.27 | 50.27 | 53.47 | 52.07 | 47.77 | Geometric calculation and spatial reasoning |
190 | arithmetic | medium | Calculate 260 ÷ 13 | 20 | 21 | 20 | 23 | 18 | Standard arithmetic calculation |
448 | algebra | easy | Solve for x: x + 4 = 12 | 8 | 11 | 8 | 9 | 6 | Algebraic manipulation and solving |
2,758 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 0 | 1 | 2 | Trigonometric functions and identities |
2,289 | calculus | medium | What is d/dx(5x^3 - 2x + 1)? | 15x^2 - 2 | 5x^2 - 2 | 15x^2 - 1 | 15x^2 - 2 | 15x^3 - 2 | Calculus differentiation and integration |
3,289 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 3 | 3.5 | 4 | Probability calculation and expected value |
226 | arithmetic | medium | What is 12²? | 144 | 159 | 152 | 144 | 134 | Standard arithmetic calculation |
681 | algebra | medium | Find x: x² = 36 | 6 | 4 | 6 | 9 | 7 | Algebraic manipulation and solving |
2,153 | calculus | easy | Evaluate ∫x^4 dx | x^5/5 + C | x^5/5 + C | x^4 + C | 4x^3 + C | x^6/6 + C | Calculus differentiation and integration |
4,168 | 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 |
4,427 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 8 | 10 | Vector operations and matrix calculations |
4,136 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Cannot determine | True | Depends on other variables | False | Logical reasoning and boolean operations |
2,042 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 1/2 | 2/2 | 0/2 | Fraction arithmetic and simplification |
1,170 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 18 | 16 | 15 | 17 | Geometric calculation and spatial reasoning |
2,761 | trigonometry | medium | What is tan(45°)? | 1 | 1 | 0 | √3 | √2 | Trigonometric functions and identities |
1,706 | fractions | easy | Simplify 28/12 | 7/3 | 14/6 | 7/3 | 27/11 | 29/13 | Fraction arithmetic and simplification |
794 | 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 |
34 | arithmetic | easy | Calculate 89 - 84 | 5 | 5 | 6 | 7 | 4 | Standard arithmetic calculation |
1,157 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 15 | 18 | 16 | Geometric calculation and spatial reasoning |
1,566 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.24 | 2.54 | 2.94 | Statistical measure calculation |
1,259 | statistics | easy | Find the median of 12 4 7 14 20 19 7 5 | 9.5 | 9.5 | 7.5 | 11.5 | 10.5 | Statistical measure calculation |
3,881 | 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 |
394 | arithmetic | hard | Calculate (4^4 × 3) ÷ 5 | 153 | 148 | 156 | 153 | 161 | Standard arithmetic calculation |
830 | algebra | hard | Solve: x² + -12x + 32 = 0 | x = 4 or x = 8 | x = 3 or x = 9 | x = 4 or x = 8 | x = -4 or x = -8 | x = 5 or x = 7 | Algebraic manipulation and solving |
4,336 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 10 | 11 | 9 | Vector operations and matrix calculations |
3,632 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 2 | 4 | 1 | Number theory and modular arithmetic |
4,102 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | True | False | Depends on other variables | Cannot determine | Logical reasoning and boolean operations |
311 | arithmetic | hard | Calculate (6^3 × 4) ÷ 9 | 96 | 91 | 104 | 96 | 99 | Standard arithmetic calculation |
37 | arithmetic | easy | Calculate 79 - 47 | 32 | 32 | 34 | 33 | 31 | Standard arithmetic calculation |
236 | arithmetic | medium | What is 25% of 135? | 33 | 28 | 38 | 33 | 43 | Standard arithmetic calculation |
1,865 | fractions | medium | Divide 3/5 ÷ 2/5 | 3/2 | 3/3 | 3/2 | 2/3 | 4/2 | Fraction arithmetic and simplification |
1,940 | fractions | medium | Calculate 1 × 3/5 | 3/5 | 3/6 | 3/5 | 4/5 | 5/3 | Fraction arithmetic and simplification |
4,140 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | True | Cannot determine | Depends on other variables | Logical reasoning and boolean operations |
3,407 | number_theory | easy | What is the GCD of 8 and 12? | 4 | 3 | 4 | 2 | 5 | Number theory and modular arithmetic |
3,833 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | mammal | cat | animal | pet | Logical reasoning and boolean operations |
4,472 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 3 | 4 | 6 | Vector operations and matrix calculations |
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