If a:b = 4:5 and b:c = 5:9, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:5 and b:c = 5:9, then a:b:c = ?

A. 4:6:9

B. 8:10:18

C. 4:5:9

D. 3:5:10

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:5, b:c = 5:9 ⇒ a:b:c = 4:5:9.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in the ratio 13:6 and their sum is 485. Find the numbers.

A. 650 and 300

B. 306 and 158

C. 325 and 150

D. 342 and 131

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Correct Answer: Option C

Explanation:
Numbers = 13k and 6k. 13k + 6k = 485 ⇒ k = 25. Thus, numbers are 325 and 150.

This question belongs to: Maths Ratio and Proportion

Question #2

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

A. 4:8:7

B. 3:8:8

C. 4:9:7

D. 8:16:14

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 297

B. 636

C. 734

D. 594

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

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