If a:b = 4:7 and b:c = 7:8, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:7 and b:c = 7:8, then a:b:c = ?

A. 4:8:8

B. 4:7:8

C. 3:7:9

D. 8:14:16

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:7, b:c = 7:8 ⇒ a:b:c = 4:7:8.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in ratio 11:5. Their difference is 105. What is their sum?

A. 414

B. 368

C. 160

D. 320

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Correct Answer: Option D

Explanation:
Numbers 11k, 5k. Difference |11-5|k = 105 ⇒ k = 17. Sum = (11+5)k ≈ 320.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 7:4 and b:c = 4:4, then a:b:c = ?

A. 14:8:8

B. 6:4:5

C. 7:5:4

D. 7:4:4

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 7:4, b:c = 4:4 ⇒ a:b:c = 7:4:4.

This question belongs to: Maths Ratio and Proportion

Question #3

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Find the mean proportional between 11 and 45.

A. 56

B. 44

C. 25

D. 22

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Correct Answer: Option D

Explanation:
Mean proportional = √(11 × 45) = √(495) = 22.

This question belongs to: Maths Ratio and Proportion

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