Two numbers are in the ratio 12:7 and their sum is 291. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:7 and their sum is 291. Find the numbers.

A. 202 and 77

B. 160 and 120

C. 360 and 210

D. 180 and 105

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 12k and 7k. 12k + 7k = 291 ⇒ k = 15. Thus, numbers are 180 and 105.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 5:3 and b:c = 3:7, then a:b:c = ?

A. 4:3:8

B. 5:3:7

C. 10:6:14

D. 5:4:7

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 5:3, b:c = 3:7 ⇒ a:b:c = 5:3:7.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 3:6 and b:c = 6:4, then a:b:c = ?

A. 3:7:4

B. 6:12:8

C. 3:6:4

D. 2:6:5

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:6, b:c = 6:4 ⇒ a:b:c = 3:6:4.

This question belongs to: Maths Ratio and Proportion

Question #3

Find the mean proportional between 25 and 32.

A. 57

B. 56

C. 28

D. 31

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Correct Answer: Option C

Explanation:
Mean proportional = √(25 × 32) = √(800) = 28.

This question belongs to: Maths Ratio and Proportion

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