Free Ratio and Proportion MCQs with Answers
293 Ratio and Proportion MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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293 questions · page 15 of 15
- 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- A. 2:3:5
- B. 3:4:7
- C. 4:5:9
- D. None of these
Explanation: Using capital-time products, A contributes Rs. 40,000 x 36 months = 1,440,000 Rs.-months, B contributes Rs. 80,000 x 12 months + Rs.
Correct answer: 3:4:7