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 14 of 15
- A. 4/11
- B. 1
- C. 2/33
- D. 19/66
Explanation: There are 12 socks, so the total number of pairs is C(12,2) = 66. Same-colour pairs are C(4,2) + C(3,2) + C(5,2) = 6 + 3 + 10 = 19, giving…
Correct answer: 19/66- A. 13/51
- B. 1/17
- C. 1/26
- D. 13/17
Explanation: The chance that the first card is a club is 13/52, and without replacement the chance that the second is a club is 12/51.
Correct answer: 1/17- A. 1/13
- B. 2/13
- C. 1/26
- D. 1/52
Explanation: There are two favourable cards, the queen of clubs and the king of hearts, out of 52 cards. Therefore the probability is 2/52 = 1/26.
Correct answer: 1/26- A. 1/26
- B. 3/52
- C. 15/26
- D. 11/26
Explanation: With replacement, the two draws are independent. The probability of a red first card is 26/52 = 1/2, and the probability of a king second…
Correct answer: 1/26- A. 1/6
- B. 5/8
- C. 3/8
- D. 5/6Pakistan Studies Quiz
Explanation: Use the complement: the probability of selecting no graduate is C(6,3) ÷ C(10,3) = 20 ÷ 120 = 1/6, because 6 of the 10 people are…
Correct answer: 5/6Pakistan Studies Quiz- A. 18/35
- B. 12/35
- C. 17/35
- D. 19/35
Explanation: They agree when both speak truth or both speak falsely. The probability is (3/5 x 4/7) + (2/5 x 3/7) = 12/35 + 6/35 = 18/35.
Correct answer: 18/35- A. 5/21
- B. 5/14
- C. 9/14
- D. 16/21
Explanation: There are C(10,5) = 252 ways to choose five people. For at least two couples, choose two couples in C(5,2) = 10 ways and one of the…
Correct answer: 5/21- A. 0.4869
- B. 0.5904
- C. 0.6234
- D. 0.5834
Explanation: It is easier to use the complement: the probability that none of the 4 tickets wins is 0.8 x 0.8 x 0.8 x 0.8 = 0.4096.
Correct answer: 0.5904- A. 1/10
- B. 9/10
- C. 1/5
- D. 3/10
Explanation: Treat the specified pair as one block. The block and the other 8 books can be arranged in 9!
Correct answer: 1/5- A. 0
- B. 1/7
- C. 2/7
- D. 5/7
Explanation: A leap year has 366 days = 52 weeks plus 2 extra days, so exactly two consecutive weekdays occur 53 times.
Correct answer: 1/7- A. 10/17
- B. 10/19
- C. 46/105
- D. Cannot be determined
Explanation: The actual set of 15 consecutive numbers is not given, and the number of primes and odd numbers can change with the starting number.
Correct answer: Cannot be determined- A. 4/9
- B. 5/9
- C. 7/9
- D. 8/9
Explanation: There are 5 x 4 = 20 favorable pairs with one white and one red ball, out of C(9,2) = 36 total pairs. Thus the probability is 20/36 = 5/9.
Correct answer: 5/9- 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