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

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

A. 3:5:5

B. 4:5:4

C. 8:10:8

D. 4:6:4

Answer: Option B

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in ratio 7:12. Their difference is 57. What is their sum?

A. 228

B. 364

C. 266

D. 114

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Correct Answer: Option A

Explanation:
Numbers 7k, 12k. Difference |7-12|k = 57 ⇒ k = 11. Sum = (7+12)k ≈ 228.

This question belongs to: Maths Ratio and Proportion

Question #2

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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. 145 years

C. 135 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

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If a:b = 8:5 and b:c = 5:6, then a:b:c = ?

A. 7:5:7

B. 16:10:12

C. 8:6:6

D. 8:5:6

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 8:5, b:c = 5:6 ⇒ a:b:c = 8:5:6.

This question belongs to: Maths Ratio and Proportion

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