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 |
|---|---|---|---|---|---|---|---|---|---|
1,330 | statistics | easy | What is the mean of 12 11 2 10 8 18 4 12? | 9.6 | 11.6 | 7.6 | 9.6 | 10.6 | Statistical measure calculation |
2,228 | calculus | medium | What is d/dx(5x^4 - 4x + 1)? | 20x^3 - 4 | 20x^4 - 4 | 5x^3 - 4 | 20x^3 - 4 | 20x^3 - 1 | Calculus differentiation and integration |
2,699 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | 0 | 2 | sin(2x) | Trigonometric functions and identities |
840 | geometry | easy | How many sides does a octagon have? | 8 | 7 | 10 | 8 | 9 | Geometric calculation and spatial reasoning |
3,580 | number_theory | medium | Find LCM of 9 and 15 | 45 | 50 | 35 | 60 | 45 | Number theory and modular arithmetic |
562 | algebra | medium | Find x: x² = 49 | 7 | 10 | 5 | 7 | 8 | Algebraic manipulation and solving |
626 | algebra | medium | Solve: 6x - 10 = 15 | 4 | 5 | 7 | 2 | 4 | Algebraic manipulation and solving |
547 | algebra | easy | Solve for x: x + 8 = 16 | 8 | 8 | 9 | 11 | 6 | Algebraic manipulation and solving |
1,625 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 2.54 | 1.74 | 2.94 | Statistical measure calculation |
3,107 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/30 | 1/35 | 1/32 | Probability calculation and expected value |
753 | 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 |
2,723 | trigonometry | medium | What is tan(45°)? | 1 | 1 | 0 | √2 | √3 | Trigonometric functions and identities |
1,905 | fractions | medium | Calculate 3/5 × 3/4 | 9/20 | 9/20 | 9/21 | 20/9 | 10/20 | Fraction arithmetic and simplification |
1,379 | statistics | easy | What is the mean of 11 6 7 20 20 12? | 12.7 | 14.7 | 10.7 | 12.7 | 13.7 | Statistical measure calculation |
4,409 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 10 | 11 | 9 | Vector operations and matrix calculations |
313 | arithmetic | hard | Calculate (5^3 × 4) ÷ 8 | 62 | 62 | 70 | 57 | 65 | Standard arithmetic calculation |
4,960 | 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 |
4,040 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Cannot determine | False | True | Depends on other variables | Logical reasoning and boolean operations |
4,364 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 11 | 9 | 10 | Vector operations and matrix calculations |
3,369 | number_theory | easy | What is the GCD of 12 and 18? | 6 | 7 | 5 | 6 | 4 | Number theory and modular arithmetic |
3,893 | logic | medium | What is NOT(True AND False)? | True | Cannot determine | True | False | Depends on values | Logical reasoning and boolean operations |
1,468 | statistics | medium | What is the mode of 5 12 5 13 19 12 12? | 12 | 10 | 15 | 13 | 12 | Statistical measure calculation |
3,146 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/15 | 1/13 | 1/12 | 1/14 | Probability calculation and expected value |
844 | geometry | easy | How many sides does a pentagon have? | 5 | 7 | 6 | 5 | 4 | Geometric calculation and spatial reasoning |
3,373 | number_theory | easy | What is the GCD of 14 and 21? | 7 | 7 | 5 | 6 | 8 | Number theory and modular arithmetic |
976 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 31.47 | 30.07 | 28.27 | 25.77 | Geometric calculation and spatial reasoning |
309 | arithmetic | hard | Calculate (5^4 × 3) ÷ 6 | 312 | 312 | 315 | 320 | 307 | Standard arithmetic calculation |
1,492 | statistics | medium | What is the mode of 16 12 11 11 7 12 12? | 12 | 10 | 15 | 13 | 12 | Statistical measure calculation |
766 | algebra | hard | Solve: x² + -12x + 32 = 0 | x = 8 or x = 4 | x = 7 or x = 5 | x = 8 or x = 4 | x = -8 or x = -4 | x = 9 or x = 3 | Algebraic manipulation and solving |
3,249 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4.5 | 3 | 4 | Probability calculation and expected value |
3,969 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | P is false | Q is false | Q is true | Cannot determine | Logical reasoning and boolean operations |
3,905 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Cannot determine | Q is true | Q is false | P is false | Logical reasoning and boolean operations |
1,669 | fractions | easy | Simplify 10/35 | 2/7 | 9/34 | 11/36 | 5/17 | 2/7 | Fraction arithmetic and simplification |
995 | geometry | medium | Find the area of a circle with radius 7 (use π ≈ 3.14) | 153.94 | 157.14 | 153.94 | 151.44 | 155.74 | Geometric calculation and spatial reasoning |
1,410 | statistics | medium | What is the mode of 14 12 16 14 12 12 5? | 12 | 10 | 15 | 13 | 12 | Statistical measure calculation |
758 | algebra | hard | Solve: x² + -9x + 14 = 0 | x = 2 or x = 7 | x = 1 or x = 8 | x = 2 or x = 7 | x = -2 or x = -7 | x = 3 or x = 6 | Algebraic manipulation and solving |
4,402 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 11 | 8 | 9 | Vector operations and matrix calculations |
1,284 | statistics | easy | What is the mean of 5 17 9 8 13? | 10.4 | 10.4 | 12.4 | 8.4 | 11.4 | Statistical measure calculation |
2,123 | 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 |
155 | arithmetic | medium | Calculate 108 ÷ 12 | 9 | 9 | 10 | 7 | 12 | Standard arithmetic calculation |
3,655 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 4 | 1 | Number theory and modular arithmetic |
3,899 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is false | Q is true | Cannot determine | P is false | Logical reasoning and boolean operations |
2,143 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^4 | 5x^5 | 5x^4 | x^5 | Calculus differentiation and integration |
2,370 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | cos(x²) | 2x cos(x²) | Calculus differentiation and integration |
614 | algebra | medium | Solve: 2x - 10 = 22 | 16 | 16 | 17 | 19 | 14 | Algebraic manipulation and solving |
2,368 | 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 |
3,117 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/35 | 1/32 | 1/30 | Probability calculation and expected value |
1,340 | statistics | easy | Find the median of 11 11 19 5 9 20 4 | 11 | 11 | 12 | 9 | 13 | Statistical measure calculation |
3,012 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 1/4 | 1/2 | 2/3 | Probability calculation and expected value |
2,169 | calculus | easy | Find d/dx(x^3) | 3x^2 | 3x^3 | x^2 | 3x^2 | x^3 | Calculus differentiation and integration |
319 | arithmetic | hard | Calculate (4^3 × 4) ÷ 3 | 85 | 80 | 93 | 85 | 88 | Standard arithmetic calculation |
416 | arithmetic | hard | Calculate (3^4 × 4) ÷ 5 | 64 | 67 | 72 | 59 | 64 | Standard arithmetic calculation |
2,127 | calculus | easy | Find d/dx(x^4) | 4x^3 | 4x^3 | x^3 | x^4 | 4x^4 | Calculus differentiation and integration |
1,490 | statistics | medium | Calculate the range of 10 4 6 4 5 3 | 7 | 7 | 5 | 10 | 8 | Statistical measure calculation |
4,778 | 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 |
4,516 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 6 | 3 | 5 | Vector operations and matrix calculations |
1,126 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 18 | 16 | 15 | Geometric calculation and spatial reasoning |
2,748 | trigonometry | medium | What is tan(45°)? | 1 | 0 | √2 | √3 | 1 | Trigonometric functions and identities |
3,057 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 1/4 | 2/3 | 1/2 | Probability calculation and expected value |
2,976 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 7 | 5 | 6 | 8 | Probability calculation and expected value |
1,105 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 30.07 | 28.27 | 31.47 | 25.77 | Geometric calculation and spatial reasoning |
2,028 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 0/2 | 2/2 | 1/3 | Fraction arithmetic and simplification |
3,654 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 1 | 4 | 3 | Number theory and modular arithmetic |
2,514 | trigonometry | easy | Find cos(45°) | √2/2 | 0 | 1 | -1 | √2/2 | Trigonometric functions and identities |
1,564 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 2.24 | 1.74 | 2.54 | Statistical measure calculation |
2,670 | trigonometry | medium | What is tan(45°)? | 1 | √2 | √3 | 0 | 1 | Trigonometric functions and identities |
3,841 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | cat | pet | mammal | animal | Logical reasoning and boolean operations |
3,630 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 1 | 2 | 4 | Number theory and modular arithmetic |
421 | algebra | easy | Solve for x: x + 4 = 7 | 3 | 6 | 1 | 4 | 3 | Algebraic manipulation and solving |
3,907 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is false | Cannot determine | Q is true | P is false | Logical reasoning and boolean operations |
2,989 | 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 |
3,708 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 1 | 3 | 4 | Number theory and modular arithmetic |
1,559 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 2.24 | 2.94 | 1.74 | Statistical measure calculation |
3,595 | number_theory | medium | Find LCM of 12 and 16 | 48 | 38 | 63 | 53 | 48 | Number theory and modular arithmetic |
2,563 | trigonometry | easy | What is sin(30°)? | 0.5 | 0 | 0.5 | -1 | 1 | Trigonometric functions and identities |
4,968 | 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 |
2,759 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 0 | 1 | 2 | Trigonometric functions and identities |
3,119 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/35 | 1/30 | 1/32 | 1/36 | Probability calculation and expected value |
1,760 | fractions | easy | Simplify 30/25 | 6/5 | 29/24 | 15/12 | 6/5 | 31/26 | Fraction arithmetic and simplification |
4,157 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Cannot determine | True | Depends on other variables | False | Logical reasoning and boolean operations |
3,142 | 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 |
111 | arithmetic | easy | Find 7 × 9 | 63 | 60 | 68 | 65 | 63 | Standard arithmetic calculation |
1,727 | fractions | easy | What is 1/4 + 1/4? | 1/2 | 2/2 | 1/3 | 1/2 | 0/2 | Fraction arithmetic and simplification |
4,324 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 11 | 8 | 9 | Vector operations and matrix calculations |
2,218 | calculus | easy | Evaluate ∫x^2 dx | x^3/3 + C | 2x^1 + C | x^3/3 + C | x^4/4 + C | x^2 + C | Calculus differentiation and integration |
1,124 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 16 | 15 | 18 | Geometric calculation and spatial reasoning |
242 | arithmetic | medium | Calculate 88 ÷ 11 | 8 | 8 | 6 | 11 | 9 | Standard arithmetic calculation |
3,581 | number_theory | medium | How many factors does 36 have? | 9 | 7 | 9 | 10 | 8 | Number theory and modular arithmetic |
4,252 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 7] | [3, 6] | [2, 7] | [4, 7] | Vector operations and matrix calculations |
2,047 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 2/2 | 0/2 | 1/2 | Fraction arithmetic and simplification |
2,850 | 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 |
4,151 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Cannot determine | True | Depends on other variables | False | Logical reasoning and boolean operations |
3,884 | 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 |
2,799 | 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 |
1,346 | statistics | easy | What is the mean of 14 15 8 4 20 8? | 11.5 | 13.5 | 9.5 | 12.5 | 11.5 | Statistical measure calculation |
560 | algebra | medium | Find x: x² = 25 | 5 | 5 | 3 | 8 | 6 | Algebraic manipulation and solving |
978 | geometry | medium | What is the volume of a cube with side length 5? | 125 | 105 | 125 | 160 | 140 | Geometric calculation and spatial reasoning |
2,452 | 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 |
3,410 | number_theory | easy | What is the GCD of 14 and 21? | 7 | 7 | 6 | 5 | 8 | Number theory and modular arithmetic |
1,420 | statistics | medium | Calculate the range of 2 13 10 18 19 18 14 16 | 17 | 18 | 20 | 17 | 15 | Statistical measure calculation |
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