If a:b = 5:9 and b:c = 9:10, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 5:9 and b:c = 9:10, then a:b:c = ?

A. 4:9:11

B. 5:9:10

C. 10:18:20

D. 5:10:10

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 5:9, b:c = 9:10 ⇒ a:b:c = 5:9:10.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in the ratio 5:9 and their sum is 612. Find the numbers.

A. 215 and 387

B. 240 and 375

C. 430 and 774

D. 196 and 394

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Correct Answer: Option A

Explanation:
Numbers = 5k and 9k. 5k + 9k = 612 ⇒ k = 43. Thus, numbers are 215 and 387.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in the ratio 12:5 and their sum is 771. Find the numbers.

A. 523 and 234

B. 540 and 225

C. 1080 and 450

D. 556 and 206

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Correct Answer: Option B

Explanation:
Numbers = 12k and 5k. 12k + 5k = 771 ⇒ k = 45. Thus, numbers are 540 and 225.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 3:9 and b:c = 9:12, then a:b:c = ?

A. 3:10:12

B. 6:18:24

C. 3:9:12

D. 2:9:13

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:9, b:c = 9:12 ⇒ a:b:c = 3:9:12.

This question belongs to: Maths Ratio and Proportion

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