If a:b = 4:5 and b:c = 5:11, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:5 and b:c = 5:11, then a:b:c = ?

A. 3:5:12

B. 4:6:11

C. 4:5:11

D. 8:10:22

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:5, b:c = 5:11 ⇒ a:b:c = 4:5:11.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 2:3 and b:c = 3:10, then a:b:c = ?

A. 2:4:10

B. 2:3:10

C. 1:3:11

D. 4:6:20

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:3, b:c = 3:10 ⇒ a:b:c = 2:3:10.

This question belongs to: Maths Ratio and Proportion

Question #2

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

A. 140 years

B. 135 years

C. 145 years

D. 280 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 8k. Then (7k + 8)/(8k + 8) = 9/9. Solving gives k ≈ 20, age of A = 7*20 = 140.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 4:9. Their difference is 73. What is their sum?

A. 656

B. 260

C. 557

D. 520

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Correct Answer: Option D

Explanation:
Numbers 4k, 9k. Difference |4-9|k = 73 ⇒ k = 14. Sum = (4+9)k ≈ 520.

This question belongs to: Maths Ratio and Proportion

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