If a:b = 6:9 and b:c = 9:11, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 6:9 and b:c = 9:11, then a:b:c = ?

A. 5:9:12

B. 12:18:22

C. 6:9:11

D. 6:10:11

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 6:9, b:c = 9:11 ⇒ a:b:c = 6:9:11.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in the ratio 8:6 and their sum is 434. Find the numbers.

A. 248 and 186

B. 230 and 206

C. 496 and 372

D. 262 and 167

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Correct Answer: Option A

Explanation:
Numbers = 8k and 6k. 8k + 6k = 434 ⇒ k = 31. Thus, numbers are 248 and 186.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 7:9 and b:c = 9:5, then a:b:c = ?

A. 7:10:5

B. 6:9:6

C. 14:18:10

D. 7:9:5

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 7:9, b:c = 9:5 ⇒ a:b:c = 7:9:5.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 7:8. After 4 years, the ratio becomes 10:11. Present age of A is?

A. 128 years

B. 138 years

C. 133 years

D. 266 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 8k. Then (7k + 4)/(8k + 4) = 10/11. Solving gives k ≈ 19, age of A = 7*19 = 133.

This question belongs to: Maths Ratio and Proportion

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