If a:b = 4:9 and b:c = 9:8, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:9 and b:c = 9:8, then a:b:c = ?

A. 3:9:9

B. 4:9:8

C. 8:18:16

D. 4:10:8

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:9, b:c = 9:8 ⇒ a:b:c = 4:9:8.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Milk and water are in ratio 9:2 in a 345 L mixture. Quantity of milk?

A. 63 L

B. 282 L

C. 303 L

D. 564 L

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Correct Answer: Option B

Explanation:
Total parts = 11. Milk = [9 / (9+2)] × 345 = 282 L.

This question belongs to: Maths Ratio and Proportion

Question #2

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Find the mean proportional between 23 and 54.

A. 38

B. 70

C. 35

D. 77

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Correct Answer: Option C

Explanation:
Mean proportional = √(23 × 54) = √(1242) = 35.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in ratio 9:12. Their difference is 74. What is their sum?

A. 105

B. 270

C. 355

D. 210

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Correct Answer: Option D

Explanation:
Numbers 9k, 12k. Difference |9-12|k = 74 ⇒ k = 24. Sum = (9+12)k ≈ 210.

This question belongs to: Maths Ratio and Proportion

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