Two numbers are in ratio 9:4. Their difference is 40. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 9:4. Their difference is 40. What is their sum?

A. 601

B. 714

C. 286

D. 572

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers 9k, 4k. Difference |9-4|k = 40 ⇒ k = 8. Sum = (9+4)k ≈ 572.

This question belongs to: Maths Ratio and Proportion

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Question #1

Two numbers are in the ratio 4:10 and their sum is 595. Find the numbers.

A. 336 and 840

B. 158 and 436

C. 168 and 420

D. 184 and 396

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Correct Answer: Option C

Explanation:
Numbers = 4k and 10k. 4k + 10k = 595 ⇒ k = 42. Thus, numbers are 168 and 420.

This question belongs to: Maths Ratio and Proportion

Question #2

Milk and water are in ratio 6:5 in a 226 L mixture. Quantity of milk?

A. 103 L

B. 246 L

C. 123 L

D. 153 L

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Correct Answer: Option C

Explanation:
Total parts = 11. Milk = [6 / (6+5)] × 226 = 123 L.

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 5:8:5

B. 5:9:5

C. 10:16:10

D. 4:8:6

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

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