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. 12:14:20

B. 6:8:10

C. 6:7:10

D. 5:7:11

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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Milk and water are in ratio 5:7 in a 456 L mixture. Quantity of milk?

A. 190 L

B. 380 L

C. 266 L

D. 229 L

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Correct Answer: Option A

Explanation:
Total parts = 12. Milk = [5 / (5+7)] × 456 = 190 L.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 4:8. After 6 years, the ratio becomes 5:10. Present age of A is?

A. 112 years

B. 52 years

C. 61 years

D. 56 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 8k. Then (4k + 6)/(8k + 6) = 5/10. Solving gives k ≈ 14, age of A = 4*14 = 56.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 6:4. After 9 years, the ratio becomes 9:6. Present age of A is?

A. 83 years

B. 180 years

C. 90 years

D. 95 years

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Correct Answer: Option C

Explanation:
Let ages 6k and 4k. Then (6k + 9)/(4k + 9) = 9/6. Solving gives k ≈ 15, age of A = 6*15 = 90.

This question belongs to: Maths Ratio and Proportion

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