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 |
|---|---|---|---|---|---|---|---|---|---|
4,072 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | Cannot determine | True | Depends on other variables | Logical reasoning and boolean operations |
2,340 | calculus | medium | What is d/dx(5x^4 - 7x + 1)? | 20x^3 - 7 | 5x^3 - 7 | 20x^3 - 1 | 20x^3 - 7 | 20x^4 - 7 | Calculus differentiation and integration |
3,697 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 3 | 4 | 2 | Number theory and modular arithmetic |
1,534 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 2.94 | 1.74 | 2.24 | Statistical measure calculation |
1,096 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 25.77 | 28.27 | 31.47 | 30.07 | Geometric calculation and spatial reasoning |
4,354 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 10 | 9 | 8 | Vector operations and matrix calculations |
386 | arithmetic | hard | Calculate (3^3 × 4) ÷ 5 | 21 | 16 | 29 | 24 | 21 | Standard arithmetic calculation |
871 | geometry | easy | What is the area of a rectangle with length 5 and width 7? | 35 | 38 | 30 | 35 | 43 | Geometric calculation and spatial reasoning |
2,639 | trigonometry | easy | What is sin(45°)? | 0.71 | 1 | -1 | 0 | 0.71 | Trigonometric functions and identities |
2,543 | trigonometry | easy | What is sin(60°)? | 0.87 | 0 | -1 | 1 | 0.87 | Trigonometric functions and identities |
1,436 | statistics | medium | What is the mode of 9 14 9 20 9 5 9? | 9 | 10 | 7 | 12 | 9 | Statistical measure calculation |
1,823 | fractions | medium | Divide 1/2 ÷ 4/5 | 5/8 | 5/9 | 6/8 | 8/5 | 5/8 | Fraction arithmetic and simplification |
2,084 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 2/2 | 1/2 | 0/2 | Fraction arithmetic and simplification |
243 | arithmetic | medium | Calculate 120 ÷ 8 | 15 | 15 | 16 | 13 | 18 | Standard arithmetic calculation |
2,727 | trigonometry | medium | What is tan(45°)? | 1 | √3 | √2 | 0 | 1 | Trigonometric functions and identities |
3,850 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | True | Cannot determine | Depends on context | Logical reasoning and boolean operations |
631 | algebra | medium | Find x: x² = 64 | 8 | 9 | 11 | 8 | 6 | Algebraic manipulation and solving |
1,024 | geometry | medium | What is the volume of a cube with side length 7? | 343 | 323 | 358 | 343 | 378 | Geometric calculation and spatial reasoning |
1,250 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 6 | 4 | 3 | 5 | Geometric calculation and spatial reasoning |
4,007 | 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 |
1,825 | fractions | medium | Calculate 1/2 × 1/2 | 1/4 | 4/1 | 1/5 | 1/4 | 2/4 | Fraction arithmetic and simplification |
151 | arithmetic | medium | What is 25% of 369? | 92 | 92 | 102 | 97 | 87 | Standard arithmetic calculation |
25 | arithmetic | easy | What is 89 + 60? | 149 | 147 | 149 | 150 | 152 | Standard arithmetic calculation |
3,262 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 3.5 | 4.5 | 4 | Probability calculation and expected value |
3,154 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/13 | 1/15 | 1/14 | 1/12 | Probability calculation and expected value |
3,472 | number_theory | easy | Is 29 a prime number? | Yes | No | Only if x>0 | Cannot determine | Yes | Number theory and modular arithmetic |
4,179 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [3, 7] | [3, 6] | [2, 7] | Vector operations and matrix calculations |
1,563 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 1.74 | 2.54 | 2.24 | Statistical measure calculation |
2,726 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | sin(2x) | 2 | 1 | Trigonometric functions and identities |
2,498 | 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 |
4,294 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [2, 7] | [3, 6] | [3, 7] | Vector operations and matrix calculations |
731 | 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 |
3,972 | 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 |
973 | geometry | easy | How many sides does a heptagon have? | 7 | 8 | 6 | 9 | 7 | Geometric calculation and spatial reasoning |
592 | algebra | medium | Find x: x² = 49 | 7 | 7 | 8 | 5 | 10 | Algebraic manipulation and solving |
2,691 | trigonometry | medium | What is tan(45°)? | 1 | 0 | √3 | √2 | 1 | Trigonometric functions and identities |
4,854 | 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 |
2,546 | trigonometry | easy | Find cos(90°) | 0 | -1 | 1 | 0 | 0 | Trigonometric functions and identities |
3,437 | number_theory | easy | What is the GCD of 8 and 12? | 4 | 5 | 3 | 2 | 4 | Number theory and modular arithmetic |
1,494 | statistics | medium | Calculate the range of 2 20 3 5 13 20 | 18 | 21 | 19 | 18 | 16 | Statistical measure calculation |
3,506 | number_theory | medium | How many factors does 24 have? | 8 | 9 | 8 | 7 | 6 | Number theory and modular arithmetic |
960 | geometry | easy | How many sides does a hexagon have? | 6 | 8 | 7 | 5 | 6 | Geometric calculation and spatial reasoning |
3,990 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Cannot determine | P is false | Q is false | Q is true | Logical reasoning and boolean operations |
2,453 | 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 |
542 | algebra | easy | What is 5x when x = 8? | 40 | 40 | 45 | 37 | 42 | Algebraic manipulation and solving |
526 | algebra | easy | Solve for x: x + 13 = 17 | 4 | 7 | 4 | 2 | 5 | Algebraic manipulation and solving |
2,001 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 0/2 | 1/3 | Fraction arithmetic and simplification |
1,557 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 2.24 | 1.74 | 2.94 | Statistical measure calculation |
1,401 | statistics | medium | Calculate the range of 7 7 6 7 18 9 16 | 12 | 10 | 12 | 15 | 13 | Statistical measure calculation |
4,652 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 5 | 8 | 4 | Permutations and combinations |
4,132 | 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 | True | False | Logical reasoning and boolean operations |
1,504 | statistics | medium | Calculate the range of 8 3 13 20 3 12 | 17 | 17 | 20 | 18 | 15 | Statistical measure calculation |
3,126 | 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 |
4,415 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 11 | 9 | 8 | Vector operations and matrix calculations |
3,496 | number_theory | medium | Find LCM of 15 and 20 | 60 | 75 | 50 | 60 | 65 | Number theory and modular arithmetic |
189 | arithmetic | medium | What is 40% of 333? | 133 | 128 | 143 | 138 | 133 | Standard arithmetic calculation |
1,268 | statistics | easy | What is the mean of 10 7 13 5 8 9 20? | 10.3 | 12.3 | 8.3 | 10.3 | 11.3 | Statistical measure calculation |
2,832 | 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 |
702 | 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 |
2,888 | 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 |
3,406 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 6 | 3 | 4 | 5 | Number theory and modular arithmetic |
4,972 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 60 | 48 | 24 | Permutations and combinations |
813 | algebra | hard | Solve: x² + -7x + 10 = 0 | x = 5 or x = 2 | x = 4 or x = 3 | x = 5 or x = 2 | x = -5 or x = -2 | x = 6 or x = 1 | Algebraic manipulation and solving |
377 | arithmetic | hard | Calculate (4^4 × 3) ÷ 5 | 153 | 148 | 161 | 156 | 153 | Standard arithmetic calculation |
206 | arithmetic | medium | What is 13²? | 169 | 159 | 169 | 184 | 177 | Standard arithmetic calculation |
1,773 | fractions | easy | Simplify 21/24 | 7/8 | 20/23 | 7/8 | 22/25 | 10/12 | Fraction arithmetic and simplification |
2,146 | calculus | easy | What is the derivative of x²? | 2x | x | 2x² | 2x | x² | Calculus differentiation and integration |
1,581 | 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 |
281 | arithmetic | hard | Calculate (5^4 × 2) ÷ 3 | 416 | 411 | 419 | 416 | 424 | Standard arithmetic calculation |
5 | arithmetic | easy | Find 7 × 8 | 56 | 56 | 58 | 61 | 53 | Standard arithmetic calculation |
3,583 | number_theory | medium | How many factors does 24 have? | 8 | 7 | 8 | 9 | 6 | Number theory and modular arithmetic |
2,358 | calculus | medium | What is d/dx(2x^3 - 2x + 1)? | 6x^2 - 2 | 6x^3 - 2 | 6x^2 - 2 | 6x^2 - 1 | 2x^2 - 2 | Calculus differentiation and integration |
112 | arithmetic | easy | What is 47 + 98? | 145 | 146 | 145 | 143 | 148 | Standard arithmetic calculation |
2,728 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 0 | 1 | 2 | Trigonometric functions and identities |
1,540 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 1.74 | 2.94 | 2.24 | Statistical measure calculation |
866 | geometry | easy | How many sides does a octagon have? | 8 | 10 | 7 | 9 | 8 | Geometric calculation and spatial reasoning |
3,678 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 3 | 2 | 4 | Number theory and modular arithmetic |
399 | arithmetic | hard | Calculate (5^4 × 2) ÷ 3 | 416 | 416 | 411 | 419 | 424 | Standard arithmetic calculation |
1,474 | statistics | medium | Calculate the range of 18 17 16 6 | 12 | 15 | 13 | 10 | 12 | Statistical measure calculation |
1,514 | statistics | medium | Calculate the range of 7 6 12 8 | 6 | 9 | 4 | 6 | 7 | Statistical measure calculation |
925 | geometry | easy | What is the area of a rectangle with length 8 and width 6? | 48 | 51 | 43 | 48 | 56 | Geometric calculation and spatial reasoning |
4,698 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 120 | 720 | 36 | 12 | Permutations and combinations |
3,255 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 3 | 4.5 | Probability calculation and expected value |
2,223 | calculus | easy | What is the derivative of x²? | 2x | 2x² | 2x | x² | x | Calculus differentiation and integration |
865 | geometry | easy | What is the area of a rectangle with length 6 and width 6? | 36 | 44 | 31 | 36 | 39 | Geometric calculation and spatial reasoning |
4,533 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 6 | 5 | 4 | Vector operations and matrix calculations |
187 | arithmetic | medium | Calculate 170 ÷ 10 | 17 | 17 | 20 | 15 | 18 | Standard arithmetic calculation |
4,975 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 48 | 24 | 60 | Permutations and combinations |
360 | arithmetic | hard | Calculate (6^3 × 4) ÷ 7 | 123 | 123 | 131 | 118 | 126 | Standard arithmetic calculation |
3,981 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | P is false | Cannot determine | Q is true | Q is false | Logical reasoning and boolean operations |
965 | geometry | easy | What is the area of a rectangle with length 10 and width 5? | 50 | 45 | 53 | 50 | 58 | Geometric calculation and spatial reasoning |
3,997 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is true | Q is false | Cannot determine | P is false | Logical reasoning and boolean operations |
3,463 | number_theory | easy | Is 17 a prime number? | Yes | No | Cannot determine | Only if x>0 | Yes | Number theory and modular arithmetic |
1,704 | fractions | easy | What is 1/2 + 1/4? | 3/4 | 3/5 | 2/4 | 4/4 | 3/4 | Fraction arithmetic and simplification |
4,987 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 24 | 60 | 120 | 48 | Permutations and combinations |
2,644 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | sin(2x) | 2 | 1 | Trigonometric functions and identities |
4,646 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 10 | 24 | 120 | 25 | Permutations and combinations |
1,318 | statistics | easy | What is the mean of 17 2 5 12 14? | 10 | 11 | 10 | 12 | 8 | Statistical measure calculation |
3,311 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4 | 3.5 | 4.5 | Probability calculation and expected value |
4,578 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 6 | 3 | Vector operations and matrix calculations |
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