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 |
|---|---|---|---|---|---|---|---|---|---|
1,950 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 0/2 | 2/2 | Fraction arithmetic and simplification |
499 | algebra | easy | What is 5x when x = 7? | 35 | 37 | 32 | 40 | 35 | Algebraic manipulation and solving |
3,845 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | False | Depends on context | True | Logical reasoning and boolean operations |
2,373 | 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 |
3,930 | 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 |
4,781 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 125 | 50 | 75 | Permutations and combinations |
4,744 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 50 | 125 | 75 | Permutations and combinations |
1,575 | 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 |
4,484 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 6 | 5 | 3 | Vector operations and matrix calculations |
1,874 | fractions | medium | Divide 4/5 ÷ 2/3 | 6/5 | 6/6 | 7/5 | 5/6 | 6/5 | Fraction arithmetic and simplification |
4,928 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 48 | 60 | 120 | 24 | Permutations and combinations |
3,448 | number_theory | easy | Is 13 a prime number? | Yes | Only if x>0 | Cannot determine | No | Yes | Number theory and modular arithmetic |
1,238 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 13 | 11 | 14 | 12 | Geometric calculation and spatial reasoning |
2,529 | trigonometry | easy | What is sin(180°)? | 0 | 0 | 0 | 1 | -1 | Trigonometric functions and identities |
3,455 | number_theory | easy | Is 23 a prime number? | Yes | Cannot determine | No | Only if x>0 | Yes | Number theory and modular arithmetic |
2,217 | calculus | easy | Evaluate ∫x^4 dx | x^5/5 + C | x^4 + C | 4x^3 + C | x^5/5 + C | x^6/6 + C | Calculus differentiation and integration |
1,841 | fractions | medium | Calculate 1 × 2/3 | 2/3 | 2/4 | 3/3 | 3/2 | 2/3 | Fraction arithmetic and simplification |
1,470 | statistics | medium | What is the mode of 12 5 5 20 5 11 16? | 5 | 6 | 3 | 5 | 8 | Statistical measure calculation |
1,848 | fractions | medium | Calculate 5/6 × 3/4 | 5/8 | 5/9 | 5/8 | 8/5 | 6/8 | Fraction arithmetic and simplification |
3,756 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | True | Depends on context | Cannot determine | Logical reasoning and boolean operations |
498 | algebra | easy | Solve for x: x + 11 = 19 | 8 | 11 | 6 | 8 | 9 | Algebraic manipulation and solving |
3,250 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 3.5 | 4 | 3 | Probability calculation and expected value |
1,539 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.94 | 2.24 | 2.54 | Statistical measure calculation |
402 | arithmetic | hard | Calculate (5^3 × 3) ÷ 4 | 93 | 93 | 88 | 96 | 101 | Standard arithmetic calculation |
4,224 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 7] | [3, 6] | [4, 7] | [2, 7] | Vector operations and matrix calculations |
2,560 | trigonometry | easy | What is sin(60°)? | 0.87 | 0 | 1 | -1 | 0.87 | Trigonometric functions and identities |
2,430 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(2x) | cos(x²) | 2x sin(x²) | Calculus differentiation and integration |
4,301 | linear_algebra | easy | Calculate 2 × [2, 3] | [4, 6] | [4, 6] | [4, 5] | [3, 6] | [5, 6] | Vector operations and matrix calculations |
1,381 | statistics | easy | Find the median of 3 17 7 20 8 13 | 10.5 | 11.5 | 8.5 | 10.5 | 12.5 | Statistical measure calculation |
1,519 | statistics | medium | Calculate the range of 12 16 17 15 11 10 | 7 | 7 | 10 | 5 | 8 | Statistical measure calculation |
4,657 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 36 | 12 | 720 | 120 | Permutations and combinations |
1,402 | statistics | medium | Calculate the range of 10 20 14 3 9 16 6 4 | 17 | 15 | 20 | 18 | 17 | Statistical measure calculation |
157 | arithmetic | medium | What is 14²? | 196 | 196 | 204 | 186 | 211 | Standard arithmetic calculation |
200 | arithmetic | medium | Calculate 224 ÷ 14 | 16 | 19 | 14 | 16 | 17 | Standard arithmetic calculation |
3,318 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 4.5 | 3 | Probability calculation and expected value |
3,843 | 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 |
4,315 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 9 | 10 | 11 | Vector operations and matrix calculations |
1,428 | statistics | medium | What is the mode of 6 2 2 18 6 6 13? | 6 | 9 | 4 | 7 | 6 | Statistical measure calculation |
1,664 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 1.74 | 2.94 | 2.54 | Statistical measure calculation |
4,904 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 24 | 48 | 60 | Permutations and combinations |
3,694 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 1 | 4 | Number theory and modular arithmetic |
3,423 | number_theory | easy | What is the GCD of 12 and 18? | 6 | 4 | 6 | 7 | 5 | Number theory and modular arithmetic |
334 | arithmetic | hard | Calculate (3^3 × 2) ÷ 8 | 6 | 14 | 1 | 6 | 9 | Standard arithmetic calculation |
2,667 | trigonometry | medium | What is tan(45°)? | 1 | 0 | 1 | √3 | √2 | Trigonometric functions and identities |
3,648 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 3 | 2 | 1 | Number theory and modular arithmetic |
3,260 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4.5 | 4 | 3 | Probability calculation and expected value |
703 | 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 |
4,610 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 5 | 6 | 8 | 4 | Permutations and combinations |
1,842 | fractions | medium | Calculate 2/5 × 2/5 | 4/25 | 5/25 | 4/25 | 25/4 | 4/26 | Fraction arithmetic and simplification |
4,953 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 24 | 60 | 48 | 120 | Permutations and combinations |
36 | arithmetic | easy | Find 11 × 6 | 66 | 68 | 63 | 66 | 71 | Standard arithmetic calculation |
623 | algebra | medium | Find x: x² = 25 | 5 | 5 | 6 | 3 | 8 | Algebraic manipulation and solving |
4,295 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [3, 7] | [2, 7] | [3, 6] | Vector operations and matrix calculations |
1,998 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 0/2 | 2/2 | 1/2 | Fraction arithmetic and simplification |
4,577 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
2,742 | trigonometry | medium | What is tan(45°)? | 1 | 0 | √2 | 1 | √3 | Trigonometric functions and identities |
3,668 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 3 | 2 | 1 | Number theory and modular arithmetic |
24 | arithmetic | easy | Find 6 × 6 | 36 | 41 | 36 | 38 | 33 | Standard arithmetic calculation |
2,797 | 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 |
2,681 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | 2 | sin(2x) | 0 | Trigonometric functions and identities |
2,181 | calculus | easy | Find d/dx(x^3) | 3x^2 | x^3 | x^2 | 3x^3 | 3x^2 | Calculus differentiation and integration |
2,402 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | 2x sin(x²) | 2x cos(x²) | cos(x²) | Calculus differentiation and integration |
4,498 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
1,208 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 5 | 6 | 4 | 3 | Geometric calculation and spatial reasoning |
3,028 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 5 | 7 | 8 | Probability calculation and expected value |
2,165 | calculus | easy | Find d/dx(x^4) | 4x^3 | 4x^3 | x^4 | x^3 | 4x^4 | Calculus differentiation and integration |
1,101 | geometry | medium | What is the volume of a cube with side length 4? | 64 | 44 | 64 | 79 | 99 | Geometric calculation and spatial reasoning |
561 | algebra | medium | Solve: 6x - 13 = 13 | 4 | 7 | 4 | 2 | 5 | Algebraic manipulation and solving |
2,429 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(x²) | 2x sin(x²) | cos(2x) | Calculus differentiation and integration |
4,860 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 60 | 125 | 50 | Permutations and combinations |
2,303 | calculus | medium | What is d/dx(4x^2 - 3x + 1)? | 8x^1 - 3 | 8x^1 - 3 | 8x^2 - 3 | 8x^1 - 1 | 4x^1 - 3 | Calculus differentiation and integration |
476 | algebra | easy | Solve for x: x + 6 = 12 | 6 | 9 | 6 | 4 | 7 | Algebraic manipulation and solving |
2,475 | 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 |
2,030 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 2/2 | 0/2 | Fraction arithmetic and simplification |
1,110 | geometry | medium | What is the volume of a cube with side length 7? | 343 | 358 | 323 | 343 | 378 | Geometric calculation and spatial reasoning |
946 | geometry | easy | How many sides does a heptagon have? | 7 | 9 | 6 | 8 | 7 | Geometric calculation and spatial reasoning |
4,393 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 11 | 8 | 9 | Vector operations and matrix calculations |
571 | algebra | medium | Find x: x² = 25 | 5 | 5 | 8 | 6 | 3 | Algebraic manipulation and solving |
3,445 | number_theory | easy | What is the GCD of 14 and 21? | 7 | 8 | 7 | 6 | 5 | Number theory and modular arithmetic |
1,654 | 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 |
276 | arithmetic | medium | Calculate 247 ÷ 13 | 19 | 22 | 19 | 17 | 20 | Standard arithmetic calculation |
3,261 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 3.5 | 4 | 3 | Probability calculation and expected value |
897 | geometry | easy | How many sides does a heptagon have? | 7 | 6 | 7 | 9 | 8 | Geometric calculation and spatial reasoning |
3,062 | 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 |
1,398 | statistics | medium | What is the mode of 17 12 15 5 15 15 13? | 15 | 18 | 13 | 15 | 16 | Statistical measure calculation |
4,867 | 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 |
2,513 | trigonometry | easy | What is sin(30°)? | 0.5 | 0.5 | -1 | 0 | 1 | Trigonometric functions and identities |
3,926 | logic | medium | What is NOT(True AND False)? | True | Cannot determine | Depends on values | True | False | Logical reasoning and boolean operations |
2,836 | 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 |
439 | algebra | easy | What is 2x when x = 9? | 18 | 23 | 18 | 15 | 20 | Algebraic manipulation and solving |
4,898 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 24 | 48 | 60 | 120 | Permutations and combinations |
2,220 | calculus | easy | Evaluate ∫x^3 dx | x^4/4 + C | x^4/4 + C | x^3 + C | 3x^2 + C | x^5/5 + C | Calculus differentiation and integration |
4,650 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 25 | 24 | 10 | 120 | Permutations and combinations |
2,381 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | Calculus differentiation and integration |
3,393 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 5 | 3 | 4 | 6 | Number theory and modular arithmetic |
1,963 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 1/2 | 0/2 | 2/2 | Fraction arithmetic and simplification |
1,943 | fractions | medium | Divide 1/4 ÷ 2/5 | 5/8 | 5/8 | 5/9 | 8/5 | 6/8 | Fraction arithmetic and simplification |
1,075 | geometry | medium | Find the area of a circle with radius 8 (use π ≈ 3.14) | 201.06 | 198.56 | 201.06 | 202.86 | 204.26 | Geometric calculation and spatial reasoning |
600 | algebra | medium | Find x: x² = 64 | 8 | 8 | 9 | 11 | 6 | Algebraic manipulation and solving |
4,340 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 10 | 8 | 9 | Vector operations and matrix calculations |
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