If a:b = 5:5 and b:c = 5:12, then a:b:c = ? MCQ with Answer and Explanation

If a:b = 5:5 and b:c = 5:12, then a:b:c = ?

A. 5:5:12

B. 5:6:12

C. 4:5:13

D. 10:10:24

Answer: Option A

Combine ratios: a:b = 5:5, b:c = 5:12 ⇒ a:b:c = 5:5:12.

This question belongs to: Maths Ratio and Proportion

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Question #1 Report Error

Two numbers are in the ratio 14:9 and their sum is 497. Find the numbers.

A. 307 and 170

B. 588 and 378

C. 286 and 198

D. 294 and 189

Correct Answer: Option D

Explanation:
Numbers = 14k and 9k. 14k + 9k = 497 ⇒ k = 21. Thus, numbers are 294 and 189.

This question belongs to: Maths Ratio and Proportion

Question #2 Report Error

Ratio of present ages of A and B is 7:8. After 6 years, the ratio becomes 8:9. Present age of A is?

A. 110 years

B. 97 years

C. 210 years

D. 105 years

Correct Answer: Option D

Explanation:
Let ages 7k and 8k. Then (7k + 6)/(8k + 6) = 8/9. Solving gives k ≈ 15, age of A = 7*15 = 105.

This question belongs to: Maths Ratio and Proportion

Question #3 Report Error

If a:b = 8:6 and b:c = 6:9, then a:b:c = ?

A. 7:6:10

B. 16:12:18

C. 8:6:9

D. 8:7:9

Correct Answer: Option C

Explanation:
Combine ratios: a:b = 8:6, b:c = 6:9 ⇒ a:b:c = 8:6:9.

This question belongs to: Maths Ratio and Proportion