If a:b = 4:7 and b:c = 7:10, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:7 and b:c = 7:10, then a:b:c = ?

A. 4:7:10

B. 4:8:10

C. 8:14:20

D. 3:7:11

Answer: Option A

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:7, b:c = 7:10 ⇒ a:b:c = 4:7:10.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in the ratio 11:5 and their sum is 789. Find the numbers.

A. 1078 and 490

B. 566 and 224

C. 539 and 245

D. 524 and 251

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Correct Answer: Option C

Explanation:
Numbers = 11k and 5k. 11k + 5k = 789 ⇒ k = 49. Thus, numbers are 539 and 245.

This question belongs to: Maths Ratio and Proportion

Question #2

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

A. 5:9:7

B. 4:9:8

C. 10:18:14

D. 5:10:7

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 5:8. After 6 years, the ratio becomes 6:11. Present age of A is?

A. 74 years

B. 80 years

C. 85 years

D. 160 years

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Correct Answer: Option B

Explanation:
Let ages 5k and 8k. Then (5k + 6)/(8k + 6) = 6/11. Solving gives k ≈ 16, age of A = 5*16 = 80.

This question belongs to: Maths Ratio and Proportion

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