If a:b = 4:5 and b:c = 5:6, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:5 and b:c = 5:6, then a:b:c = ?

A. 3:5:7

B. 4:6:6

C. 4:5:6

D. 8:10:12

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:5, b:c = 5:6 ⇒ a:b:c = 4:5:6.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 4:3 and b:c = 3:10, then a:b:c = ?

A. 8:6:20

B. 4:4:10

C. 3:3:11

D. 4:3:10

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:10 ⇒ a:b:c = 4:3:10.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 5:6. After 9 years, the ratio becomes 7:7. Present age of A is?

A. 100 years

B. 95 years

C. 200 years

D. 105 years

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Correct Answer: Option A

Explanation:
Let ages 5k and 6k. Then (5k + 9)/(6k + 9) = 7/7. Solving gives k ≈ 20, age of A = 5*20 = 100.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 13:10 and their sum is 746. Find the numbers.

A. 416 and 320

B. 403 and 338

C. 434 and 298

D. 832 and 640

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Correct Answer: Option A

Explanation:
Numbers = 13k and 10k. 13k + 10k = 746 ⇒ k = 32. Thus, numbers are 416 and 320.

This question belongs to: Maths Ratio and Proportion

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