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 |
|---|---|---|---|---|---|---|---|---|---|
2,242 | calculus | medium | What is d/dx(2x^4 - 4x + 1)? | 8x^3 - 4 | 8x^3 - 4 | 8x^4 - 4 | 2x^3 - 4 | 8x^3 - 1 | Calculus differentiation and integration |
2,029 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 2/2 | 0/2 | Fraction arithmetic and simplification |
4,994 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 60 | 24 | 48 | Permutations and combinations |
2,998 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 2/3 | 1/2 | 1/3 | 1/4 | Probability calculation and expected value |
4,889 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 120 | 48 | 24 | Permutations and combinations |
2,243 | calculus | medium | What is d/dx(3x^3 - 2x + 1)? | 9x^2 - 2 | 9x^2 - 2 | 9x^2 - 1 | 9x^3 - 2 | 3x^2 - 2 | Calculus differentiation and integration |
1,280 | statistics | easy | Find the median of 7 16 7 15 19 16 5 | 15 | 15 | 13 | 17 | 16 | Statistical measure calculation |
4,087 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Depends on other variables | Cannot determine | False | True | Logical reasoning and boolean operations |
591 | algebra | medium | Find x: x² = 49 | 7 | 8 | 10 | 7 | 5 | Algebraic manipulation and solving |
1,219 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 18 | 16 | 17 | 15 | Geometric calculation and spatial reasoning |
4,661 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 12 | 120 | 720 | 36 | Permutations and combinations |
1,585 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 2.94 | 2.24 | 1.74 | Statistical measure calculation |
1,086 | geometry | medium | Find the area of a circle with radius 8 (use π ≈ 3.14) | 201.06 | 202.86 | 201.06 | 204.26 | 198.56 | Geometric calculation and spatial reasoning |
233 | arithmetic | medium | What is 30% of 308? | 92 | 97 | 102 | 87 | 92 | Standard arithmetic calculation |
4,654 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 8 | 6 | 5 | 4 | Permutations and combinations |
3,259 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 4 | 3 | 3.5 | Probability calculation and expected value |
1,754 | fractions | easy | Simplify 9/9 | 1/1 | 1/1 | 10/10 | 8/8 | 4/4 | Fraction arithmetic and simplification |
3,853 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Depends on context | Cannot determine | True | False | Logical reasoning and boolean operations |
1,156 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 13 | 16 | 14 | 15 | Geometric calculation and spatial reasoning |
2,636 | trigonometry | easy | Calculate tan(0°) | 0 | -1 | 0 | 1 | undefined | Trigonometric functions and identities |
841 | geometry | easy | What is the area of a rectangle with length 9 and width 7? | 63 | 58 | 71 | 63 | 66 | Geometric calculation and spatial reasoning |
740 | algebra | hard | Solve: x² + -10x + 25 = 0 | x = 5 or x = 5 | x = 4 or x = 6 | x = 5 or x = 5 | x = -5 or x = -5 | x = 6 or x = 4 | Algebraic manipulation and solving |
4,269 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 7] | [4, 7] | [3, 6] | [2, 7] | Vector operations and matrix calculations |
4,287 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [4, 7] | [3, 7] | [2, 7] | Vector operations and matrix calculations |
3,350 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 4 | 3 | 5 | 6 | Number theory and modular arithmetic |
2,780 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 0 | 1 | 2 | Trigonometric functions and identities |
3,947 | 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 |
1,977 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/2 | 1/3 | 2/2 | Fraction arithmetic and simplification |
3,885 | 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 |
2,155 | calculus | easy | Find d/dx(x^4) | 4x^3 | x^4 | 4x^3 | 4x^4 | x^3 | Calculus differentiation and integration |
3,065 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/14 | 1/12 | 1/13 | 1/15 | Probability calculation and expected value |
3,716 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 1 | 3 | 4 | Number theory and modular arithmetic |
3,336 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4 | 4.5 | 3.5 | Probability calculation and expected value |
1,475 | statistics | medium | Calculate the range of 15 10 5 15 18 | 13 | 14 | 16 | 13 | 11 | Statistical measure calculation |
3,927 | 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 |
842 | geometry | easy | What is the area of a rectangle with length 5 and width 4? | 20 | 28 | 23 | 20 | 15 | Geometric calculation and spatial reasoning |
1,397 | statistics | medium | What is the mode of 4 9 9 15 9 16 3? | 9 | 12 | 9 | 10 | 7 | Statistical measure calculation |
2,690 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | sin(2x) | 2 | 0 | Trigonometric functions and identities |
4,914 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 24 | 120 | 48 | Permutations and combinations |
3,140 | 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 |
57 | arithmetic | easy | What is 62 + 22? | 84 | 85 | 82 | 87 | 84 | Standard arithmetic calculation |
1,644 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 2.94 | 1.74 | 2.54 | Statistical measure calculation |
4,062 | 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 |
4,635 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 24 | 120 | 25 | 10 | Permutations and combinations |
628 | algebra | medium | Find x: x² = 81 | 9 | 10 | 9 | 12 | 7 | Algebraic manipulation and solving |
444 | algebra | easy | What is 5x when x = 3? | 15 | 17 | 12 | 15 | 20 | Algebraic manipulation and solving |
4,229 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [2, 7] | [3, 6] | [3, 7] | [4, 7] | Vector operations and matrix calculations |
1,473 | statistics | medium | What is the mode of 10 10 11 4 10 7 19? | 10 | 11 | 13 | 10 | 8 | Statistical measure calculation |
4,054 | 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 | False | True | Logical reasoning and boolean operations |
1,372 | statistics | easy | What is the mean of 2 6 6 12 14 7 9? | 8 | 9 | 8 | 10 | 6 | Statistical measure calculation |
4,807 | 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 |
1,683 | fractions | easy | What is 1/2 + 1/3? | 5/6 | 4/6 | 5/7 | 6/6 | 5/6 | Fraction arithmetic and simplification |
776 | 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 |
4,842 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 75 | 50 | 60 | Permutations and combinations |
2,419 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | cos(x²) | 2x sin(x²) | 2x cos(x²) | Calculus differentiation and integration |
2,953 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 1/2 | 1/4 | 2/3 | Probability calculation and expected value |
2,362 | calculus | medium | What is d/dx(2x^3 - 3x + 1)? | 6x^2 - 3 | 6x^2 - 1 | 6x^2 - 3 | 6x^3 - 3 | 2x^2 - 3 | Calculus differentiation and integration |
3,965 | logic | medium | What is NOT(True AND False)? | True | Depends on values | False | True | Cannot determine | Logical reasoning and boolean operations |
3,205 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 3 | 4 | 4.5 | Probability calculation and expected value |
2,707 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | 2 | sin(2x) | 0 | Trigonometric functions and identities |
1,209 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 16 | 17 | 15 | 18 | Geometric calculation and spatial reasoning |
657 | algebra | medium | Find x: x² = 100 | 10 | 11 | 13 | 10 | 8 | Algebraic manipulation and solving |
1,464 | statistics | medium | What is the mode of 7 7 7 19 12 13 7? | 7 | 5 | 7 | 10 | 8 | Statistical measure calculation |
2,104 | calculus | easy | Find d/dx(x^4) | 4x^3 | 4x^4 | 4x^3 | x^4 | x^3 | Calculus differentiation and integration |
445 | algebra | easy | Solve for x: x + 5 = 13 | 8 | 11 | 6 | 9 | 8 | Algebraic manipulation and solving |
1,979 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 0/2 | 1/3 | 1/2 | Fraction arithmetic and simplification |
1,930 | fractions | medium | Calculate 1/2 × 3/8 | 3/16 | 16/3 | 4/16 | 3/17 | 3/16 | Fraction arithmetic and simplification |
2,683 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 1 | 0 | 2 | Trigonometric functions and identities |
1,287 | statistics | easy | What is the mean of 11 20 16 5? | 13 | 13 | 15 | 11 | 14 | Statistical measure calculation |
1,269 | statistics | easy | Find the median of 18 3 7 18 17 14 15 | 15 | 17 | 16 | 15 | 13 | Statistical measure calculation |
4,998 | 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 |
2,269 | calculus | medium | What is d/dx(3x^4 - 1x + 1)? | 12x^3 - 1 | 12x^3 - 1 | 12x^4 - 1 | 12x^3 - 1 | 3x^3 - 1 | Calculus differentiation and integration |
1,458 | statistics | medium | What is the mode of 12 11 14 20 14 14 17? | 14 | 17 | 12 | 15 | 14 | Statistical measure calculation |
2,567 | trigonometry | easy | What is sin(30°)? | 0.5 | 1 | 0 | 0.5 | -1 | Trigonometric functions and identities |
807 | algebra | hard | Solve: x² + -15x + 56 = 0 | x = 7 or x = 8 | x = 6 or x = 9 | x = 7 or x = 8 | x = -7 or x = -8 | x = 8 or x = 7 | Algebraic manipulation and solving |
2,897 | 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 |
1,121 | geometry | hard | Find the hypotenuse of a right triangle with legs 7 and 24 | 25 | 24 | 26 | 25 | 23 | Geometric calculation and spatial reasoning |
2,014 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/2 | 2/2 | 1/3 | Fraction arithmetic and simplification |
401 | arithmetic | hard | Calculate (6^3 × 3) ÷ 5 | 129 | 124 | 129 | 137 | 132 | Standard arithmetic calculation |
3,796 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | Depends on context | Cannot determine | True | Logical reasoning and boolean operations |
1,498 | statistics | medium | Calculate the range of 14 10 5 14 8 | 9 | 10 | 9 | 12 | 7 | Statistical measure calculation |
325 | arithmetic | hard | Calculate (6^3 × 2) ÷ 8 | 54 | 57 | 54 | 62 | 49 | Standard arithmetic calculation |
1,446 | statistics | medium | Calculate the range of 6 10 10 18 19 | 13 | 13 | 16 | 11 | 14 | Statistical measure calculation |
3,696 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 4 | 3 | 1 | Number theory and modular arithmetic |
2,308 | calculus | medium | What is d/dx(2x^2 - 8x + 1)? | 4x^1 - 8 | 4x^1 - 1 | 4x^2 - 8 | 4x^1 - 8 | 2x^1 - 8 | Calculus differentiation and integration |
3,778 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Depends on context | Cannot determine | False | True | Logical reasoning and boolean operations |
846 | geometry | easy | What is the area of a rectangle with length 11 and width 9? | 99 | 102 | 107 | 94 | 99 | Geometric calculation and spatial reasoning |
4,667 | combinatorics | easy | How many ways can 4 people stand in a line? | 24 | 16 | 24 | 8 | 6 | Permutations and combinations |
3,858 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | pet | mammal | cat | animal | Logical reasoning and boolean operations |
4,741 | 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 |
3,184 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/32 | 1/35 | 1/30 | 1/36 | Probability calculation and expected value |
2,347 | calculus | medium | What is d/dx(3x^2 - 3x + 1)? | 6x^1 - 3 | 6x^2 - 3 | 3x^1 - 3 | 6x^1 - 1 | 6x^1 - 3 | Calculus differentiation and integration |
1,058 | geometry | medium | Find the area of a circle with radius 7 (use π ≈ 3.14) | 153.94 | 151.44 | 153.94 | 155.74 | 157.14 | Geometric calculation and spatial reasoning |
4,835 | 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 |
2,227 | calculus | medium | What is d/dx(5x^4 - 8x + 1)? | 20x^3 - 8 | 20x^4 - 8 | 5x^3 - 8 | 20x^3 - 8 | 20x^3 - 1 | Calculus differentiation and integration |
3,470 | number_theory | easy | Is 31 a prime number? | Yes | No | Yes | Only if x>0 | Cannot determine | Number theory and modular arithmetic |
2,591 | trigonometry | easy | Calculate tan(0°) | 0 | 0 | -1 | undefined | 1 | Trigonometric functions and identities |
58 | arithmetic | easy | Find 11 × 12 | 132 | 137 | 132 | 129 | 134 | Standard arithmetic calculation |
2,110 | calculus | easy | Find ∫x dx | x²/2 + C | x²/2 + C | x³/3 + C | x + C | x² | Calculus differentiation and integration |
4,000 | logic | medium | What is NOT(True AND False)? | True | Depends on values | False | Cannot determine | True | Logical reasoning and boolean operations |
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