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 |
|---|---|---|---|---|---|---|---|---|---|
367 | arithmetic | hard | Calculate (6^4 × 2) ÷ 5 | 518 | 518 | 526 | 513 | 521 | Standard arithmetic calculation |
1,544 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.54 | 2.94 | 2.24 | Statistical measure calculation |
4,188 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [2, 7] | [4, 7] | [3, 6] | [3, 7] | Vector operations and matrix calculations |
4,372 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 8 | 10 | Vector operations and matrix calculations |
982 | geometry | medium | What is the volume of a cube with side length 6? | 216 | 231 | 216 | 251 | 196 | Geometric calculation and spatial reasoning |
3,422 | number_theory | easy | Is 17 a prime number? | Yes | Cannot determine | Only if x>0 | Yes | No | Number theory and modular arithmetic |
4,320 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 11 | 8 | 9 | Vector operations and matrix calculations |
2,437 | 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 |
4,436 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 11 | 9 | 10 | Vector operations and matrix calculations |
2,929 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 2/3 | 1/4 | 1/3 | 1/2 | Probability calculation and expected value |
3,788 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | True | Cannot determine | False | Depends on context | Logical reasoning and boolean operations |
711 | algebra | hard | Solve: x² + -13x + 40 = 0 | x = 8 or x = 5 | x = 7 or x = 6 | x = 8 or x = 5 | x = -8 or x = -5 | x = 9 or x = 4 | Algebraic manipulation and solving |
4,676 | combinatorics | easy | How many ways can 4 people stand in a line? | 24 | 6 | 16 | 8 | 24 | Permutations and combinations |
2,286 | calculus | medium | What is d/dx(5x^4 - 1x + 1)? | 20x^3 - 1 | 20x^4 - 1 | 20x^3 - 1 | 20x^3 - 1 | 5x^3 - 1 | Calculus differentiation and integration |
3,220 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 3.5 | 4.5 | 4 | Probability calculation and expected value |
4,219 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [5, 9] | [7, 9] | [6, 9] | [6, 8] | Vector operations and matrix calculations |
4,544 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 5 | 3 | 4 | Vector operations and matrix calculations |
1,296 | statistics | easy | Find the median of 20 9 12 14 17 14 5 | 14 | 12 | 16 | 15 | 14 | Statistical measure calculation |
3,923 | logic | medium | What is NOT(True AND False)? | True | Cannot determine | Depends on values | True | False | Logical reasoning and boolean operations |
4,466 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 3 | 5 | 6 | Vector operations and matrix calculations |
1,595 | 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 |
2,335 | calculus | medium | What is d/dx(2x^4 - 1x + 1)? | 8x^3 - 1 | 8x^3 - 1 | 8x^4 - 1 | 2x^3 - 1 | 8x^3 - 1 | Calculus differentiation and integration |
3,290 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 3 | 4.5 | 4 | Probability calculation and expected value |
357 | arithmetic | hard | Calculate (5^4 × 4) ÷ 7 | 357 | 352 | 357 | 360 | 365 | Standard arithmetic calculation |
254 | arithmetic | medium | Calculate 96 ÷ 8 | 12 | 13 | 15 | 12 | 10 | Standard arithmetic calculation |
4,829 | 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 |
4,359 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 9 | 11 | 10 | Vector operations and matrix calculations |
1,819 | fractions | medium | Calculate 4/7 × 3/7 | 12/49 | 13/49 | 12/50 | 49/12 | 12/49 | Fraction arithmetic and simplification |
2,408 | 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 |
4,234 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [2, 7] | [3, 6] | [3, 7] | [4, 7] | Vector operations and matrix calculations |
4,184 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [6, 8] | [6, 9] | [7, 9] | [5, 9] | Vector operations and matrix calculations |
215 | arithmetic | medium | What is 20% of 152? | 30 | 30 | 25 | 40 | 35 | Standard arithmetic calculation |
56 | arithmetic | easy | What is 79 + 55? | 134 | 134 | 135 | 137 | 132 | Standard arithmetic calculation |
3,122 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/35 | 1/32 | 1/36 | 1/30 | Probability calculation and expected value |
1,836 | fractions | medium | Divide 1 ÷ 3/5 | 5/3 | 3/5 | 5/4 | 5/3 | 6/3 | Fraction arithmetic and simplification |
1,717 | fractions | easy | What is 1/4 + 1/4? | 1/2 | 2/2 | 1/3 | 0/2 | 1/2 | Fraction arithmetic and simplification |
2,179 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^5 | x^4 | 5x^4 | 5x^5 | Calculus differentiation and integration |
4,653 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 4 | 6 | 5 | 8 | Permutations and combinations |
2,633 | trigonometry | easy | Find cos(30°) | √3/2 | 0 | 1 | √3/2 | -1 | Trigonometric functions and identities |
1,890 | fractions | medium | Calculate 2/3 × 3/2 | 1/1 | 1/2 | 1/1 | 2/1 | 1/1 | Fraction arithmetic and simplification |
3,341 | number_theory | easy | Is 13 a prime number? | Yes | No | Yes | Only if x>0 | Cannot determine | Number theory and modular arithmetic |
538 | algebra | easy | What is 8x when x = 7? | 56 | 58 | 56 | 61 | 53 | Algebraic manipulation and solving |
20 | arithmetic | easy | What is 51 + 11? | 62 | 63 | 65 | 62 | 60 | Standard arithmetic calculation |
3,910 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | P is false | Q is true | Cannot determine | Q is false | Logical reasoning and boolean operations |
4,603 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 5 | 4 | 8 | Permutations and combinations |
4,075 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | Depends on other variables | True | Cannot determine | Logical reasoning and boolean operations |
2,528 | trigonometry | easy | Calculate tan(0°) | 0 | 0 | undefined | -1 | 1 | Trigonometric functions and identities |
4,767 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 125 | 75 | 50 | Permutations and combinations |
4,677 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 25 | 10 | 24 | 120 | Permutations and combinations |
3,327 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4 | 4.5 | 3.5 | Probability calculation and expected value |
3,115 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/32 | 1/35 | 1/36 | 1/30 | Probability calculation and expected value |
4,143 | 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 |
553 | algebra | easy | What is 8x when x = 3? | 24 | 21 | 26 | 29 | 24 | Algebraic manipulation and solving |
696 | algebra | hard | Solve: x² + -11x + 28 = 0 | x = 4 or x = 7 | x = 3 or x = 8 | x = 4 or x = 7 | x = -4 or x = -7 | x = 5 or x = 6 | Algebraic manipulation and solving |
6 | arithmetic | easy | Calculate 56 - 27 | 29 | 28 | 31 | 30 | 29 | Standard arithmetic calculation |
2,607 | trigonometry | easy | What is sin(180°)? | 0 | -1 | 1 | 0 | 0 | Trigonometric functions and identities |
764 | algebra | hard | Solve: x² + -6x + 9 = 0 | x = 3 or x = 3 | x = 2 or x = 4 | x = 3 or x = 3 | x = -3 or x = -3 | x = 4 or x = 2 | Algebraic manipulation and solving |
4,742 | 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 |
4,518 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 6 | 5 | 4 | Vector operations and matrix calculations |
4,329 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 10 | 9 | 11 | Vector operations and matrix calculations |
3,687 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 1 | 4 | Number theory and modular arithmetic |
1,609 | 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 |
1,916 | fractions | medium | Calculate 1/2 × 3/5 | 3/10 | 3/11 | 4/10 | 10/3 | 3/10 | Fraction arithmetic and simplification |
349 | arithmetic | hard | Calculate (5^3 × 4) ÷ 9 | 55 | 55 | 50 | 63 | 58 | Standard arithmetic calculation |
1,739 | fractions | easy | What is 1/3 + 1/6? | 1/2 | 1/2 | 1/3 | 0/2 | 2/2 | Fraction arithmetic and simplification |
3,349 | number_theory | easy | What is the GCD of 12 and 18? | 6 | 5 | 4 | 7 | 6 | Number theory and modular arithmetic |
3,770 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | True | Depends on context | Cannot determine | False | Logical reasoning and boolean operations |
3,019 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 2/3 | 1/4 | 1/2 | Probability calculation and expected value |
1,777 | fractions | easy | What is 1/4 + 1/6? | 5/12 | 5/12 | 4/12 | 6/12 | 5/13 | Fraction arithmetic and simplification |
405 | arithmetic | hard | Calculate (6^4 × 4) ÷ 4 | 1296 | 1291 | 1304 | 1296 | 1299 | Standard arithmetic calculation |
3,323 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4 | 4.5 | 3 | Probability calculation and expected value |
1,698 | fractions | easy | Simplify 40/40 | 1/1 | 39/39 | 41/41 | 1/1 | 20/20 | Fraction arithmetic and simplification |
184 | arithmetic | medium | What is 11²? | 121 | 111 | 129 | 121 | 136 | Standard arithmetic calculation |
1,314 | statistics | easy | Find the median of 13 8 2 20 | 10.5 | 8.5 | 12.5 | 11.5 | 10.5 | Statistical measure calculation |
3,344 | number_theory | easy | Is 19 a prime number? | Yes | Cannot determine | No | Only if x>0 | Yes | Number theory and modular arithmetic |
3,441 | number_theory | easy | Is 23 a prime number? | Yes | Cannot determine | Only if x>0 | No | Yes | Number theory and modular arithmetic |
1,382 | statistics | easy | What is the mean of 13 17 14 17 8 10 17? | 13.7 | 15.7 | 13.7 | 11.7 | 14.7 | Statistical measure calculation |
2,183 | calculus | easy | What is the derivative of x²? | 2x | 2x | x² | x | 2x² | Calculus differentiation and integration |
2,009 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 1/2 | 0/2 | 2/2 | Fraction arithmetic and simplification |
4,864 | 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 |
3,821 | 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 |
3,096 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/32 | 1/30 | 1/36 | 1/35 | Probability calculation and expected value |
3,644 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 2 | 4 | 3 | Number theory and modular arithmetic |
3,174 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/14 | 1/15 | 1/12 | 1/13 | Probability calculation and expected value |
4,165 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | True | Depends on other variables | Cannot determine | Logical reasoning and boolean operations |
1,646 | 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 |
3,829 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | cat | mammal | pet | animal | Logical reasoning and boolean operations |
83 | arithmetic | easy | Find 11 × 11 | 121 | 118 | 123 | 126 | 121 | Standard arithmetic calculation |
2,021 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/3 | 2/2 | 1/2 | Fraction arithmetic and simplification |
4,997 | 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 |
768 | algebra | hard | Solve: x² + -8x + 12 = 0 | x = 2 or x = 6 | x = 1 or x = 7 | x = 2 or x = 6 | x = -2 or x = -6 | x = 3 or x = 5 | Algebraic manipulation and solving |
362 | arithmetic | hard | Calculate (5^3 × 3) ÷ 3 | 125 | 133 | 120 | 125 | 128 | Standard arithmetic calculation |
3,859 | 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 |
4,493 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 4 | 3 | 5 | Vector operations and matrix calculations |
4,806 | 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 |
2,616 | trigonometry | easy | What is sin(90°)? | 1 | -1 | 0 | 1/2 | 1 | Trigonometric functions and identities |
3,144 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/12 | 1/15 | 1/14 | 1/13 | Probability calculation and expected value |
4,941 | 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 |
4,261 | linear_algebra | easy | Calculate 5 × [2, 3] | [10, 15] | [9, 15] | [11, 15] | [10, 14] | [10, 15] | Vector operations and matrix calculations |
3,783 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | animal | mammal | cat | pet | Logical reasoning and boolean operations |
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