If a:b = 7:9 and b:c = 9:8, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 7:9 and b:c = 9:8, then a:b:c = ?

A. 7:10:8

B. 14:18:16

C. 7:9:8

D. 6:9:9

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 7:9, b:c = 9:8 ⇒ a:b:c = 7:9:8.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

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

A. 8:14:8

B. 4:8:4

C. 4:7:4

D. 3:7:5

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Correct Answer: Option C

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

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 3:6. After 11 years, the ratio becomes 5:9. Present age of A is?

A. 57 years

B. 62 years

C. 114 years

D. 49 years

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Correct Answer: Option A

Explanation:
Let ages 3k and 6k. Then (3k + 11)/(6k + 11) = 5/9. Solving gives k ≈ 19, age of A = 3*19 = 57.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 7:8. After 10 years, the ratio becomes 9:10. Present age of A is?

A. 143 years

B. 147 years

C. 152 years

D. 294 years

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Correct Answer: Option B

Explanation:
Let ages 7k and 8k. Then (7k + 10)/(8k + 10) = 9/10. Solving gives k ≈ 21, age of A = 7*21 = 147.

This question belongs to: Maths Ratio and Proportion

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