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 |
|---|---|---|---|---|---|---|---|---|---|
4,673 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 10 | 120 | 24 | 25 | Permutations and combinations |
3,915 | logic | medium | What is NOT(True AND False)? | True | Depends on values | Cannot determine | True | False | Logical reasoning and boolean operations |
2,431 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | 2x cos(x²) | cos(x²) | Calculus differentiation and integration |
197 | arithmetic | medium | What is 15% of 287? | 43 | 53 | 48 | 43 | 38 | Standard arithmetic calculation |
3,332 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 4.5 | 3 | 3.5 | Probability calculation and expected value |
3,592 | number_theory | medium | How many factors does 24 have? | 8 | 8 | 6 | 7 | 9 | Number theory and modular arithmetic |
1,813 | fractions | medium | Divide 1 ÷ 5/7 | 7/5 | 8/5 | 5/7 | 7/6 | 7/5 | Fraction arithmetic and simplification |
2,204 | calculus | easy | Evaluate ∫x^2 dx | x^3/3 + C | x^3/3 + C | 2x^1 + C | x^2 + C | x^4/4 + C | Calculus differentiation and integration |
469 | algebra | easy | What is 7x when x = 5? | 35 | 40 | 35 | 32 | 37 | Algebraic manipulation and solving |
4,093 | 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 |
496 | algebra | easy | Solve for x: x + 6 = 13 | 7 | 10 | 5 | 7 | 8 | Algebraic manipulation and solving |
4,965 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 24 | 60 | 48 | Permutations and combinations |
3,539 | number_theory | medium | How many factors does 36 have? | 9 | 10 | 7 | 9 | 8 | Number theory and modular arithmetic |
4,720 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 8 | 4 | 6 | 5 | Permutations and combinations |
1,537 | 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 |
2,744 | trigonometry | medium | What is tan(45°)? | 1 | √2 | √3 | 1 | 0 | Trigonometric functions and identities |
601 | algebra | medium | Find x: x² = 25 | 5 | 5 | 6 | 8 | 3 | Algebraic manipulation and solving |
3,600 | number_theory | medium | Find LCM of 15 and 20 | 60 | 60 | 75 | 50 | 65 | Number theory and modular arithmetic |
1,312 | statistics | easy | Find the median of 19 2 14 18 5 | 14 | 14 | 12 | 15 | 16 | Statistical measure calculation |
2,322 | calculus | medium | What is d/dx(4x^3 - 2x + 1)? | 12x^2 - 2 | 12x^2 - 2 | 12x^2 - 1 | 4x^2 - 2 | 12x^3 - 2 | Calculus differentiation and integration |
3,045 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 8 | 7 | 5 | 6 | Probability calculation and expected value |
2,980 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 6 | 7 | 8 | Probability calculation and expected value |
1,083 | geometry | medium | Find the area of a circle with radius 4 (use π ≈ 3.14) | 50.27 | 52.07 | 47.77 | 50.27 | 53.47 | Geometric calculation and spatial reasoning |
673 | algebra | medium | Solve: 4x - 13 = 20 | 8 | 8 | 6 | 11 | 9 | Algebraic manipulation and solving |
3,298 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 3.5 | 4.5 | 4 | Probability calculation and expected value |
3,189 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/13 | 1/14 | 1/15 | 1/12 | Probability calculation and expected value |
530 | algebra | easy | What is 6x when x = 8? | 48 | 45 | 50 | 53 | 48 | Algebraic manipulation and solving |
805 | algebra | hard | Solve: x² + -10x + 16 = 0 | x = 8 or x = 2 | x = 7 or x = 3 | x = 8 or x = 2 | x = -8 or x = -2 | x = 9 or x = 1 | Algebraic manipulation and solving |
492 | algebra | easy | What is 5x when x = 6? | 30 | 32 | 27 | 30 | 35 | Algebraic manipulation and solving |
4,977 | 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 |
1,639 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.24 | 2.54 | 2.94 | Statistical measure calculation |
306 | arithmetic | hard | Calculate (4^4 × 2) ÷ 3 | 170 | 165 | 173 | 170 | 178 | Standard arithmetic calculation |
4,290 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [2, 7] | [4, 7] | [3, 7] | Vector operations and matrix calculations |
1,331 | statistics | easy | Find the median of 12 17 17 15 13 10 2 | 13 | 14 | 15 | 11 | 13 | Statistical measure calculation |
1,878 | fractions | medium | Calculate 5/3 × 1/3 | 5/9 | 5/10 | 9/5 | 5/9 | 6/9 | Fraction arithmetic and simplification |
558 | algebra | medium | Solve: 3x - 12 = 20 | 10 | 13 | 8 | 10 | 11 | Algebraic manipulation and solving |
3,009 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 8 | 7 | 6 | Probability calculation and expected value |
2,678 | trigonometry | medium | What is tan(45°)? | 1 | √3 | 0 | √2 | 1 | Trigonometric functions and identities |
1,961 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/3 | 1/2 | 0/2 | Fraction arithmetic and simplification |
1,894 | fractions | medium | Calculate 2/5 × 1/2 | 1/5 | 1/5 | 2/5 | 5/1 | 1/6 | Fraction arithmetic and simplification |
4,727 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 60 | 125 | 75 | Permutations and combinations |
1,720 | fractions | easy | Simplify 24/32 | 3/4 | 3/4 | 12/16 | 23/31 | 25/33 | Fraction arithmetic and simplification |
1,480 | statistics | medium | What is the mode of 13 13 3 7 9 17 13? | 13 | 14 | 16 | 13 | 11 | Statistical measure calculation |
4,717 | combinatorics | easy | How many ways can 4 people stand in a line? | 24 | 16 | 6 | 24 | 8 | Permutations and combinations |
4,291 | linear_algebra | easy | Calculate 2 × [2, 3] | [4, 6] | [4, 6] | [3, 6] | [4, 5] | [5, 6] | Vector operations and matrix calculations |
366 | arithmetic | hard | Calculate (3^4 × 3) ÷ 7 | 34 | 37 | 42 | 29 | 34 | Standard arithmetic calculation |
2,767 | trigonometry | medium | What is tan(45°)? | 1 | √3 | 1 | √2 | 0 | Trigonometric functions and identities |
3,657 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 3 | 2 | 1 | Number theory and modular arithmetic |
3,871 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | True | False | Cannot determine | Depends on context | Logical reasoning and boolean operations |
4,510 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 3 | 5 | 4 | Vector operations and matrix calculations |
3,568 | number_theory | medium | How many factors does 30 have? | 8 | 8 | 7 | 6 | 9 | Number theory and modular arithmetic |
2,191 | 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 |
3,964 | logic | medium | What is NOT(True AND False)? | True | Depends on values | True | False | Cannot determine | Logical reasoning and boolean operations |
3,007 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 8 | 6 | 5 | 7 | Probability calculation and expected value |
3,460 | number_theory | easy | Is 23 a prime number? | Yes | Only if x>0 | Cannot determine | No | Yes | Number theory and modular arithmetic |
2,823 | 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 |
2,711 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | 2 | sin(2x) | 1 | Trigonometric functions and identities |
4,917 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 48 | 60 | 24 | 120 | Permutations and combinations |
4,170 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [6, 8] | [7, 9] | [5, 9] | [6, 9] | Vector operations and matrix calculations |
4,363 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 11 | 9 | 8 | Vector operations and matrix calculations |
3,651 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 4 | 2 | 1 | Number theory and modular arithmetic |
669 | algebra | medium | Solve: 5x - 13 = 15 | 5 | 5 | 8 | 3 | 6 | Algebraic manipulation and solving |
3,954 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Cannot determine | Q is true | P is false | Q is false | Logical reasoning and boolean operations |
540 | algebra | easy | What is 2x when x = 5? | 10 | 10 | 12 | 15 | 7 | Algebraic manipulation and solving |
1,198 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 6 | 5 | 4 | 3 | Geometric calculation and spatial reasoning |
4,221 | linear_algebra | easy | Calculate 2 × [2, 3] | [4, 6] | [4, 6] | [4, 5] | [3, 6] | [5, 6] | Vector operations and matrix calculations |
3,283 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 4.5 | 3 | Probability calculation and expected value |
511 | algebra | easy | What is 8x when x = 8? | 64 | 66 | 64 | 61 | 69 | Algebraic manipulation and solving |
4,607 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 120 | 25 | 10 | 24 | Permutations and combinations |
1,392 | statistics | medium | What is the mode of 14 14 15 18 7 14 18? | 14 | 17 | 12 | 15 | 14 | Statistical measure calculation |
3,826 | 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 |
2,461 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | cos(x²) | 2x cos(x²) | 2x sin(x²) | Calculus differentiation and integration |
2,076 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 2/2 | 1/3 | 0/2 | Fraction arithmetic and simplification |
2,923 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 6 | 7 | 8 | Probability calculation and expected value |
2,205 | calculus | easy | Evaluate ∫x^4 dx | x^5/5 + C | x^6/6 + C | 4x^3 + C | x^4 + C | x^5/5 + C | Calculus differentiation and integration |
642 | algebra | medium | Find x: x² = 81 | 9 | 9 | 7 | 10 | 12 | Algebraic manipulation and solving |
3,357 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 5 | 6 | 3 | 4 | Number theory and modular arithmetic |
2,569 | trigonometry | easy | What is sin(45°)? | 0.71 | -1 | 0.71 | 0 | 1 | Trigonometric functions and identities |
2,151 | calculus | easy | What is the derivative of x²? | 2x | 2x | x | x² | 2x² | Calculus differentiation and integration |
3,563 | number_theory | medium | Find LCM of 15 and 20 | 60 | 65 | 60 | 50 | 75 | Number theory and modular arithmetic |
4,990 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 48 | 60 | 24 | Permutations and combinations |
2,031 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 0/2 | 1/3 | 1/2 | Fraction arithmetic and simplification |
3,082 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/35 | 1/30 | 1/36 | 1/32 | Probability calculation and expected value |
4,383 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 8 | 9 | 11 | Vector operations and matrix calculations |
60 | arithmetic | easy | Calculate 68 - 51 | 17 | 18 | 16 | 17 | 19 | Standard arithmetic calculation |
51 | arithmetic | easy | What is 35 + 67? | 102 | 102 | 100 | 105 | 103 | Standard arithmetic calculation |
3,010 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 8 | 7 | 6 | Probability calculation and expected value |
359 | arithmetic | hard | Calculate (3^3 × 3) ÷ 8 | 10 | 18 | 10 | 13 | 5 | Standard arithmetic calculation |
158 | arithmetic | medium | What is 30% of 283? | 84 | 79 | 94 | 89 | 84 | Standard arithmetic calculation |
3,238 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 4 | 3.5 | 3 | Probability calculation and expected value |
2,593 | trigonometry | easy | Calculate tan(0°) | 0 | -1 | 1 | undefined | 0 | Trigonometric functions and identities |
2,570 | trigonometry | easy | Find cos(60°) | 1/2 | 1/2 | -1 | 0 | 1 | Trigonometric functions and identities |
2,164 | calculus | easy | Evaluate ∫x^2 dx | x^3/3 + C | 2x^1 + C | x^4/4 + C | x^3/3 + C | x^2 + C | Calculus differentiation and integration |
3,203 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 3 | 4 | 4.5 | Probability calculation and expected value |
3,254 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4.5 | 3.5 | 4 | Probability calculation and expected value |
4,995 | 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 |
372 | arithmetic | hard | Calculate (5^3 × 2) ÷ 7 | 35 | 30 | 38 | 43 | 35 | Standard arithmetic calculation |
3,379 | number_theory | easy | Is 31 a prime number? | Yes | Cannot determine | Yes | No | Only if x>0 | Number theory and modular arithmetic |
4,256 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [2, 7] | [3, 7] | [4, 7] | [3, 6] | Vector operations and matrix calculations |
568 | algebra | medium | Find x: x² = 16 | 4 | 5 | 4 | 2 | 7 | Algebraic manipulation and solving |
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