If a:b = 5:8 and b:c = 8:7, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 5:8 and b:c = 8:7, then a:b:c = ?

A. 5:8:7

B. 5:9:7

C. 10:16:14

D. 4:8:8

Answer: Option A

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 5:8, b:c = 8:7 ⇒ a:b:c = 5:8:7.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Milk and water are in ratio 8:2 in a 253 L mixture. Quantity of milk?

A. 51 L

B. 245 L

C. 404 L

D. 202 L

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Correct Answer: Option D

Explanation:
Total parts = 10. Milk = [8 / (8+2)] × 253 = 202 L.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 6:5. After 5 years, the ratio becomes 9:6. Present age of A is?

A. 90 years

B. 95 years

C. 180 years

D. 85 years

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Correct Answer: Option A

Explanation:
Let ages 6k and 5k. Then (6k + 5)/(5k + 5) = 9/6. Solving gives k ≈ 15, age of A = 6*15 = 90.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in ratio 8:10. Their difference is 82. What is their sum?

A. 432

B. 571

C. 454

D. 216

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Correct Answer: Option A

Explanation:
Numbers 8k, 10k. Difference |8-10|k = 82 ⇒ k = 41. Sum = (8+10)k ≈ 432.

This question belongs to: Maths Ratio and Proportion

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