If a:b = 6:7 and b:c = 7:12, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 6:7 and b:c = 7:12, then a:b:c = ?

A. 12:14:24

B. 6:7:12

C. 5:7:13

D. 6:8:12

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 6:7, b:c = 7:12 ⇒ a:b:c = 6:7:12.

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 121. What is their sum?

A. 326

B. 190

C. 95

D. 218

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Correct Answer: Option B

Explanation:
Numbers 7k, 12k. Difference |7-12|k = 121 ⇒ k = 24. Sum = (7+12)k ≈ 190.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in the ratio 7:15 and their sum is 349. Find the numbers.

A. 115 and 199

B. 105 and 225

C. 94 and 237

D. 210 and 450

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Correct Answer: Option B

Explanation:
Numbers = 7k and 15k. 7k + 15k = 349 ⇒ k = 15. Thus, numbers are 105 and 225.

This question belongs to: Maths Ratio and Proportion

Question #3

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Milk and water are in ratio 6:4 in a 289 L mixture. Quantity of milk?

A. 116 L

B. 173 L

C. 223 L

D. 346 L

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Correct Answer: Option B

Explanation:
Total parts = 10. Milk = [6 / (6+4)] × 289 = 173 L.

This question belongs to: Maths Ratio and Proportion

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