All Free Mathematics MCQs with Answers
Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
1,551 questions · page 55 of 78
- A. 3/22
- B. 4/21
- C. 2/21
- D. 1/14
Explanation: There are 3 blue plus 2 yellow marbles, so 5 favorable marbles. The probability that both selected marbles come from these five is…
Correct answer: 2/21- A. 1/455
- B. 2/455
- C. 1/91
- D. 4/455
Explanation: All three must be selected from the 3 blue marbles, giving C(3,3) = 1 favorable selection.
Correct answer: 1/455- A. 17/91
- B. 33/91
- C. 51/91
- D. 65/91Islamic Studies Quiz
Explanation: There are 12 non-blue marbles, so the favorable selections are C(12,4) = 495.
Correct answer: 33/91- A. 6/63
- B. 2/63
- C. 125/126
- D. 1/126
Explanation: The complement of at least one good bulb is selecting all four defective bulbs.
Correct answer: 125/126- A. 62/63
- B. 125/126
- C. 1/63
- D. 1/126
Explanation: To select all four defective bulbs, there is C(4,4) = 1 favorable selection.
Correct answer: 1/126- A. 5/9
- B. 5/12
- C. 1/36
- D. 7/12
Explanation: Choose the repeated number in 6 ways, the different number in 5 ways, and the position of the different die in 3 ways.
Correct answer: 5/12- A. 7/12
- B. 5/9
- C. 1/36
- D. 5/12
Explanation: For three different results, the first die has 6 choices, the second 5 remaining choices, and the third 4 remaining choices.
Correct answer: 5/9- A. 1/216
- B. 1/36
- C. 5/9
- D. 5/12
Explanation: All three dice can show the same number in 6 outcomes: 111, 222, through 666.
Correct answer: 1/36- A. 25/42
- B. 9/20
- C. 10/23
- D. 41/42
Explanation: The favorable cases are exactly 2 apples or exactly 3 apples: C(5,2) x C(4,1) + C(5,3) = 10 x 4 + 10 = 50.
Correct answer: 25/42- A. 8/15
- B. 2/5
- C. 3/5
- D. 7/15
Explanation: Same-colour selections are two green or two white: C(7,2) + C(8,2) = 21 + 28 = 49.
Correct answer: 7/15- A. 1/20
- B. 3/10
- C. 1/5
- D. 4/5
Explanation: Treat the three specified persons as one block. The block plus the other three people gives 4!
Correct answer: 1/5- A. 19/52
- B. 17/52
- C. 5/13
- D. 4/13
Explanation: There are 13 spades and 4 kings, but the king of spades is counted twice, so favorable cards = 13 + 4 - 1 = 16.
Correct answer: 4/13- A. 3/8
- B. 6/11
- C. 2/5
- D. 4/5Education
Explanation: The two heads can be placed among four tosses in C(4,2) = 6 ways. Since four coins have 2^4 = 16 equally likely outcomes, the probability…
Correct answer: 3/8- A. 1/4
- B. 1/2
- C. 3/4
- D. 3/5
Explanation: Each die has 3 even and 3 odd faces, so the chance of an even-odd arrangement is (1/2 x 1/2) + (1/2 x 1/2) = 1/2, allowing for either die…
Correct answer: 1/2- A. 1/2
- B. 16/19
- C. 4/5
- D. 17/20
Explanation: Among 1 to 20, there are 10 even numbers and 8 primes: 2, 3, 5, 7, 11, 13, 17 and 19.
Correct answer: 17/20- A. 1/25
- B. 1/2
- C. 4/13
- D. 1/10
Explanation: The perfect cubes from 1 to 100 are 1, 8, 27 and 64, so there are 4 favourable outcomes out of 100. Thus the probability is 4/100 = 1/25.
Correct answer: 1/25- A. 31/32
- B. 1/16
- C. 1/2
- D. 1/32
Explanation: For five fair tosses, the complement of at least one tail is getting no tails, meaning five heads, with probability (1/2)^5 = 1/32.
Correct answer: 31/32- A. 21/25
- B. 17/25
- C. 4/25
- D. 8/25
Explanation: From 1 to 50 there are 15 primes, and 1 is neither prime nor composite.
Correct answer: 17/25- A. 70, 50
- B. 60, 60
- C. 50, 70
- D. 40, 80
Explanation: Let the numbers of boys and girls be b and g. Then b + g = 120 students and 2b + 3g = 300 chocolates; subtracting 2(b + g) = 240…
Correct answer: 60, 60- A. 5 : 1
- B. 4 : 1
- C. 3 : 2
- D. 2 : 1Downloading Interactive Party Trivia Games
Explanation: Let the amounts at 7% and 10% be x rupees and y rupees. Then x + y = 6000 rupees and 0.07x + 0.10y = 450 rupees; using x = 6000 - y gives…
Correct answer: 5 : 1