If a:b = 6:7 and b:c = 7:10, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 6:7 and b:c = 7:10, then a:b:c = ?

A. 5:7:11

B. 12:14:20

C. 6:7:10

D. 6:8:10

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 6:7, b:c = 7:10 ⇒ a:b:c = 6:7:10.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Ratio of present ages of A and B is 3:7. After 5 years, the ratio becomes 5:10. Present age of A is?

A. 65 years

B. 144 years

C. 77 years

D. 72 years

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Correct Answer: Option D

Explanation:
Let ages 3k and 7k. Then (3k + 5)/(7k + 5) = 5/10. Solving gives k ≈ 24, age of A = 3*24 = 72.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 3:5 and b:c = 5:6, then a:b:c = ?

A. 3:5:6

B. 6:10:12

C. 2:5:7

D. 3:6:6

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:5, b:c = 5:6 ⇒ a:b:c = 3:5:6.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 5:10 and b:c = 10:10, then a:b:c = ?

A. 4:10:11

B. 10:20:20

C. 5:11:10

D. 5:10:10

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:10, b:c = 10:10 ⇒ a:b:c = 5:10:10.

This question belongs to: Maths Ratio and Proportion

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