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

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

A. 6:8:8

B. 7:9:7

C. 14:16:14

D. 7:8:7

Answer: Option D

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 4:9 and b:c = 9:8, then a:b:c = ?

A. 8:18:16

B. 4:10:8

C. 4:9:8

D. 3:9:9

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:9, b:c = 9:8 ⇒ a:b:c = 4:9:8.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in ratio 9:5. Their difference is 105. What is their sum?

A. 684

B. 287

C. 633

D. 574

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Correct Answer: Option D

Explanation:
Numbers 9k, 5k. Difference |9-5|k = 105 ⇒ k = 26. Sum = (9+5)k ≈ 574.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 4:10 and their sum is 595. Find the numbers.

A. 184 and 396

B. 158 and 436

C. 168 and 420

D. 336 and 840

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Correct Answer: Option C

Explanation:
Numbers = 4k and 10k. 4k + 10k = 595 ⇒ k = 42. Thus, numbers are 168 and 420.

This question belongs to: Maths Ratio and Proportion

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