Two numbers are in ratio 11:9. Their difference is 111. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 11:9. Their difference is 111. What is their sum?

A. 560

B. 480

C. 240

D. 526

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers 11k, 9k. Difference |11-9|k = 111 ⇒ k = 55. Sum = (11+9)k ≈ 480.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 4:9 and b:c = 9:10, then a:b:c = ?

A. 3:9:11

B. 4:10:10

C. 8:18:20

D. 4:9:10

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:9, b:c = 9:10 ⇒ a:b:c = 4:9:10.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 4:3 and their sum is 631. Find the numbers.

A. 360 and 270

B. 347 and 287

C. 380 and 258

D. 720 and 540

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Correct Answer: Option A

Explanation:
Numbers = 4k and 3k. 4k + 3k = 631 ⇒ k = 90. Thus, numbers are 360 and 270.

This question belongs to: Maths Ratio and Proportion

Question #3

Find the mean proportional between 31 and 78.

A. 98

B. 52

C. 109

D. 49

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Correct Answer: Option D

Explanation:
Mean proportional = √(31 × 78) = √(2418) = 49.

This question belongs to: Maths Ratio and Proportion

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