Two numbers are in the ratio 8:14 and their sum is 276. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 8:14 and their sum is 276. Find the numbers.

A. 96 and 168

B. 192 and 336

C. 84 and 185

D. 125 and 139

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 8k and 14k. 8k + 14k = 276 ⇒ k = 12. Thus, numbers are 96 and 168.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Find the mean proportional between 32 and 50.

A. 40

B. 43

C. 82

D. 80

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Correct Answer: Option A

Explanation:
Mean proportional = √(32 × 50) = √(1600) = 40.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 4:3 and b:c = 3:7, then a:b:c = ?

A. 8:6:14

B. 4:4:7

C. 3:3:8

D. 4:3:7

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:7 ⇒ a:b:c = 4:3:7.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 7:8 and their sum is 572. Find the numbers.

A. 266 and 304

B. 296 and 283

C. 532 and 608

D. 246 and 324

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Correct Answer: Option A

Explanation:
Numbers = 7k and 8k. 7k + 8k = 572 ⇒ k = 38. Thus, numbers are 266 and 304.

This question belongs to: Maths Ratio and Proportion

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