If a:b = 2:7 and b:c = 7:8, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 2:7 and b:c = 7:8, then a:b:c = ?

A. 1:7:9

B. 2:8:8

C. 2:7:8

D. 4:14:16

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 2:7, b:c = 7:8 ⇒ a:b:c = 2:7:8.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 3:3 and b:c = 3:7, then a:b:c = ?

A. 3:3:7

B. 2:3:8

C. 3:4:7

D. 6:6:14

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:3, b:c = 3:7 ⇒ a:b:c = 3:3:7.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 11:15 and their sum is 450. Find the numbers.

A. 374 and 510

B. 214 and 229

C. 181 and 267

D. 187 and 255

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Correct Answer: Option D

Explanation:
Numbers = 11k and 15k. 11k + 15k = 450 ⇒ k = 17. Thus, numbers are 187 and 255.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 4:8. After 10 years, the ratio becomes 5:9. Present age of A is?

A. 93 years

B. 96 years

C. 101 years

D. 192 years

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Correct Answer: Option B

Explanation:
Let ages 4k and 8k. Then (4k + 10)/(8k + 10) = 5/9. Solving gives k ≈ 24, age of A = 4*24 = 96.

This question belongs to: Maths Ratio and Proportion

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