If a:b = 4:9 and b:c = 9:10, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:9 and b:c = 9:10, then a:b:c = ?

A. 4:10:10

B. 8:18:20

C. 4:9:10

D. 3:9:11

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:9, b:c = 9:10 ⇒ a:b:c = 4:9:10.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in the ratio 12:10 and their sum is 753. Find the numbers.

A. 816 and 680

B. 408 and 340

C. 429 and 320

D. 396 and 345

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Correct Answer: Option B

Explanation:
Numbers = 12k and 10k. 12k + 10k = 753 ⇒ k = 34. Thus, numbers are 408 and 340.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in ratio 7:4. Their difference is 73. What is their sum?

A. 594

B. 297

C. 734

D. 636

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Correct Answer: Option A

Explanation:
Numbers 7k, 4k. Difference |7-4|k = 73 ⇒ k = 24. Sum = (7+4)k ≈ 594.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in the ratio 12:7 and their sum is 291. Find the numbers.

A. 160 and 120

B. 202 and 77

C. 360 and 210

D. 180 and 105

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Correct Answer: Option D

Explanation:
Numbers = 12k and 7k. 12k + 7k = 291 ⇒ k = 15. Thus, numbers are 180 and 105.

This question belongs to: Maths Ratio and Proportion

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