If a:b = 8:3 and b:c = 3:9, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 8:3 and b:c = 3:9, then a:b:c = ?

A. 16:6:18

B. 7:3:10

C. 8:4:9

D. 8:3:9

Answer: Option D

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 8:3, b:c = 3:9 ⇒ a:b:c = 8:3:9.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in ratio 7:10. Their difference is 99. What is their sum?

A. 546

B. 482

C. 229

D. 459

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Correct Answer: Option D

Explanation:
Numbers 7k, 10k. Difference |7-10|k = 99 ⇒ k = 33. Sum = (7+10)k ≈ 459.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 4:8. After 6 years, the ratio becomes 7:11. Present age of A is?

A. 92 years

B. 97 years

C. 87 years

D. 184 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 8k. Then (4k + 6)/(8k + 6) = 7/11. Solving gives k ≈ 23, age of A = 4*23 = 92.

This question belongs to: Maths Ratio and Proportion

Question #3

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Find the mean proportional between 20 and 36.

A. 29

B. 56

C. 52

D. 26

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Correct Answer: Option D

Explanation:
Mean proportional = √(20 × 36) = √(720) = 26.

This question belongs to: Maths Ratio and Proportion

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