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

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

A. 10:8:10

B. 5:5:5

C. 5:4:5

D. 4:4:6

Answer: Option C

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 7:6 and b:c = 6:4, then a:b:c = ?

A. 14:12:8

B. 7:6:4

C. 7:7:4

D. 6:6:5

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:6, b:c = 6:4 ⇒ a:b:c = 7:6:4.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 7:8 and b:c = 8:12, then a:b:c = ?

A. 6:8:13

B. 7:8:12

C. 7:9:12

D. 14:16:24

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:8, b:c = 8:12 ⇒ a:b:c = 7:8:12.

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 159 years

B. 154 years

C. 150 years

D. 308 years

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Correct Answer: Option B

Explanation:
Let ages 7k and 7k. Then (7k + 10)/(7k + 10) = 10/8. Solving gives k ≈ 22, age of A = 7*22 = 154.

This question belongs to: Maths Ratio and Proportion

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