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 |
|---|---|---|---|---|---|---|---|---|---|
4,991 | 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 |
1,222 | geometry | hard | Find the hypotenuse of a right triangle with legs 7 and 24 | 25 | 23 | 25 | 26 | 24 | Geometric calculation and spatial reasoning |
2,148 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^4 | x^5 | 5x^5 | 5x^4 | Calculus differentiation and integration |
1,427 | statistics | medium | Calculate the range of 5 13 19 9 13 | 14 | 12 | 17 | 15 | 14 | Statistical measure calculation |
781 | algebra | hard | Solve: x² + -10x + 21 = 0 | x = 3 or x = 7 | x = 2 or x = 8 | x = 3 or x = 7 | x = -3 or x = -7 | x = 4 or x = 6 | Algebraic manipulation and solving |
4,470 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
4,959 | 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 |
3,397 | number_theory | easy | Is 31 a prime number? | Yes | Yes | Cannot determine | No | Only if x>0 | Number theory and modular arithmetic |
4,847 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 75 | 125 | 50 | Permutations and combinations |
875 | geometry | easy | What is the area of a rectangle with length 6 and width 6? | 36 | 36 | 39 | 31 | 44 | Geometric calculation and spatial reasoning |
4,016 | 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 |
4,321 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 10 | 11 | 8 | Vector operations and matrix calculations |
4,633 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 36 | 720 | 120 | 12 | Permutations and combinations |
1,248 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 15 | 16 | 17 | 18 | Geometric calculation and spatial reasoning |
2,971 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 7 | 5 | 6 | 8 | Probability calculation and expected value |
2,541 | trigonometry | easy | What is tan(45°)? | 1 | √2 | 0 | 1 | √3 | Trigonometric functions and identities |
4,435 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 9 | 8 | 11 | Vector operations and matrix calculations |
3,870 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | Depends on context | True | False | Logical reasoning and boolean operations |
4,640 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 10 | 25 | 24 | 120 | Permutations and combinations |
216 | arithmetic | medium | What is 15% of 355? | 53 | 63 | 48 | 58 | 53 | Standard arithmetic calculation |
2,420 | 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 |
663 | algebra | medium | Find x: x² = 25 | 5 | 3 | 6 | 8 | 5 | Algebraic manipulation and solving |
1,366 | statistics | easy | Find the median of 9 13 7 17 | 11 | 9 | 12 | 13 | 11 | Statistical measure calculation |
124 | arithmetic | easy | What is 14 + 50? | 64 | 64 | 65 | 62 | 67 | Standard arithmetic calculation |
3,599 | number_theory | medium | Find LCM of 9 and 15 | 45 | 50 | 60 | 35 | 45 | Number theory and modular arithmetic |
2,487 | 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 |
930 | geometry | easy | What is the area of a rectangle with length 8 and width 9? | 72 | 67 | 72 | 75 | 80 | Geometric calculation and spatial reasoning |
4,486 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 3 | 6 | 5 | Vector operations and matrix calculations |
2,818 | 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 |
941 | geometry | easy | What is the area of a rectangle with length 9 and width 6? | 54 | 62 | 54 | 49 | 57 | Geometric calculation and spatial reasoning |
1,109 | geometry | medium | Find the area of a circle with radius 5 (use π ≈ 3.14) | 78.54 | 76.04 | 80.34 | 78.54 | 81.74 | Geometric calculation and spatial reasoning |
4,850 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 125 | 75 | 60 | Permutations and combinations |
4,417 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 9 | 11 | 10 | Vector operations and matrix calculations |
1,260 | statistics | easy | Find the median of 20 9 13 2 3 6 14 2 | 7.5 | 7.5 | 9.5 | 8.5 | 5.5 | Statistical measure calculation |
1,034 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 31.47 | 25.77 | 30.07 | 28.27 | Geometric calculation and spatial reasoning |
1,449 | statistics | medium | What is the mode of 9 7 9 9 18 5 8? | 9 | 9 | 7 | 12 | 10 | Statistical measure calculation |
2,318 | calculus | medium | What is d/dx(2x^4 - 8x + 1)? | 8x^3 - 8 | 8x^3 - 1 | 8x^3 - 8 | 8x^4 - 8 | 2x^3 - 8 | Calculus differentiation and integration |
4,512 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 5 | 3 | 4 | Vector operations and matrix calculations |
1,903 | fractions | medium | Divide 2/7 ÷ 1/2 | 4/7 | 5/7 | 7/4 | 4/8 | 4/7 | Fraction arithmetic and simplification |
4,186 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [2, 7] | [3, 7] | [4, 7] | Vector operations and matrix calculations |
2,300 | calculus | medium | What is d/dx(5x^4 - 3x + 1)? | 20x^3 - 3 | 5x^3 - 3 | 20x^3 - 3 | 20x^4 - 3 | 20x^3 - 1 | Calculus differentiation and integration |
3,502 | number_theory | medium | Find LCM of 12 and 16 | 48 | 48 | 63 | 53 | 38 | Number theory and modular arithmetic |
4,057 | 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 |
2,043 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 0/2 | 2/2 | Fraction arithmetic and simplification |
4,532 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 4 | 6 | 3 | Vector operations and matrix calculations |
2,737 | trigonometry | medium | What is tan(45°)? | 1 | √2 | 1 | √3 | 0 | Trigonometric functions and identities |
4,639 | combinatorics | easy | How many ways can 4 people stand in a line? | 24 | 6 | 16 | 24 | 8 | Permutations and combinations |
105 | arithmetic | easy | Calculate 51 - 37 | 14 | 14 | 13 | 15 | 16 | Standard arithmetic calculation |
3,492 | number_theory | medium | Find LCM of 9 and 15 | 45 | 60 | 50 | 45 | 35 | Number theory and modular arithmetic |
2,267 | calculus | medium | What is d/dx(2x^3 - 3x + 1)? | 6x^2 - 3 | 6x^3 - 3 | 2x^2 - 3 | 6x^2 - 3 | 6x^2 - 1 | Calculus differentiation and integration |
1,571 | 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 |
3,380 | number_theory | easy | What is the GCD of 14 and 21? | 7 | 7 | 5 | 8 | 6 | Number theory and modular arithmetic |
3,753 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | cat | pet | animal | mammal | Logical reasoning and boolean operations |
4,566 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 6 | 5 | 4 | Vector operations and matrix calculations |
1,042 | geometry | medium | Find the area of a circle with radius 8 (use π ≈ 3.14) | 201.06 | 202.86 | 198.56 | 204.26 | 201.06 | Geometric calculation and spatial reasoning |
660 | algebra | medium | Find x: x² = 36 | 6 | 4 | 7 | 6 | 9 | Algebraic manipulation and solving |
3,819 | 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 |
892 | geometry | easy | What is the area of a rectangle with length 11 and width 7? | 77 | 72 | 77 | 80 | 85 | Geometric calculation and spatial reasoning |
1,734 | fractions | easy | Simplify 14/6 | 7/3 | 13/5 | 15/7 | 7/3 | 7/3 | Fraction arithmetic and simplification |
4,779 | 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 |
2,964 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 8 | 7 | 5 | 6 | Probability calculation and expected value |
4,750 | 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 |
2,987 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 2/3 | 1/2 | 1/4 | 1/3 | Probability calculation and expected value |
1,399 | statistics | medium | What is the mode of 19 8 5 15 5 6 5? | 5 | 3 | 8 | 5 | 6 | Statistical measure calculation |
3,762 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Depends on context | False | Cannot determine | True | Logical reasoning and boolean operations |
4,134 | 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 | True | False | Logical reasoning and boolean operations |
1,159 | geometry | hard | Find the hypotenuse of a right triangle with legs 7 and 24 | 25 | 25 | 24 | 26 | 23 | Geometric calculation and spatial reasoning |
3,515 | number_theory | medium | Find LCM of 12 and 16 | 48 | 53 | 48 | 38 | 63 | Number theory and modular arithmetic |
971 | geometry | easy | How many sides does a hexagon have? | 6 | 8 | 6 | 7 | 5 | Geometric calculation and spatial reasoning |
4,001 | logic | medium | What is NOT(True AND False)? | True | False | True | Depends on values | Cannot determine | Logical reasoning and boolean operations |
2,641 | trigonometry | easy | Calculate tan(0°) | 0 | 1 | undefined | 0 | -1 | Trigonometric functions and identities |
4,663 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 8 | 4 | 5 | Permutations and combinations |
1,422 | statistics | medium | Calculate the range of 5 4 11 6 6 11 9 15 | 11 | 12 | 9 | 11 | 14 | Statistical measure calculation |
1,285 | statistics | easy | What is the mean of 8 10 19 18 19 13? | 14.5 | 12.5 | 15.5 | 16.5 | 14.5 | Statistical measure calculation |
3,631 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 1 | 3 | 4 | Number theory and modular arithmetic |
3,869 | 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 |
650 | algebra | medium | Solve: 6x - 11 = 12 | 3 | 4 | 6 | 1 | 3 | Algebraic manipulation and solving |
544 | algebra | easy | What is 8x when x = 7? | 56 | 56 | 61 | 53 | 58 | Algebraic manipulation and solving |
3,739 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 4 | 1 | 2 | Number theory and modular arithmetic |
3,421 | number_theory | easy | What is the GCD of 14 and 21? | 7 | 8 | 7 | 6 | 5 | Number theory and modular arithmetic |
2,259 | calculus | medium | What is d/dx(5x^2 - 6x + 1)? | 10x^1 - 6 | 10x^2 - 6 | 10x^1 - 1 | 5x^1 - 6 | 10x^1 - 6 | Calculus differentiation and integration |
453 | algebra | easy | What is 6x when x = 3? | 18 | 20 | 15 | 18 | 23 | Algebraic manipulation and solving |
2,696 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 1 | 0 | 2 | Trigonometric functions and identities |
4,519 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 6 | 4 | 5 | Vector operations and matrix calculations |
1,904 | fractions | medium | Calculate 3/4 × 6/7 | 9/14 | 10/14 | 14/9 | 9/14 | 9/15 | Fraction arithmetic and simplification |
483 | algebra | easy | Solve for x: x + 11 = 22 | 11 | 14 | 11 | 9 | 12 | Algebraic manipulation and solving |
3,995 | 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 |
4,913 | 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 |
3,040 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 7 | 6 | 8 | Probability calculation and expected value |
181 | arithmetic | medium | What is 10²? | 100 | 108 | 100 | 115 | 90 | Standard arithmetic calculation |
1,454 | statistics | medium | Calculate the range of 20 17 2 11 | 18 | 18 | 21 | 16 | 19 | Statistical measure calculation |
3,167 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/32 | 1/30 | 1/35 | 1/36 | Probability calculation and expected value |
2,638 | trigonometry | easy | Find cos(45°) | √2/2 | 0 | 1 | √2/2 | -1 | Trigonometric functions and identities |
12 | arithmetic | easy | What is 33 + 70? | 103 | 106 | 104 | 101 | 103 | Standard arithmetic calculation |
751 | algebra | hard | Solve: x² + -7x + 12 = 0 | x = 3 or x = 4 | x = 2 or x = 5 | x = 3 or x = 4 | x = -3 or x = -4 | x = 4 or x = 3 | Algebraic manipulation and solving |
2,564 | trigonometry | easy | What is sin(0°)? | 0 | 0 | -1 | 1 | 0 | Trigonometric functions and identities |
3,695 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 4 | 1 | 2 | Number theory and modular arithmetic |
4,853 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 50 | 60 | 125 | Permutations and combinations |
4,293 | linear_algebra | easy | Calculate 5 × [2, 3] | [10, 15] | [11, 15] | [10, 14] | [10, 15] | [9, 15] | Vector operations and matrix calculations |
1,261 | statistics | easy | What is the mean of 3 13 11 19? | 11.5 | 12.5 | 9.5 | 11.5 | 13.5 | Statistical measure calculation |
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