Two numbers are in the ratio 12:15 and their sum is 313. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:15 and their sum is 313. Find the numbers.

A. 156 and 136

B. 132 and 165

C. 117 and 176

D. 264 and 330

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers = 12k and 15k. 12k + 15k = 313 ⇒ k = 11. Thus, numbers are 132 and 165.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 8:3 and b:c = 3:6, then a:b:c = ?

A. 8:3:6

B. 16:6:12

C. 8:4:6

D. 7:3:7

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 8:3, b:c = 3:6 ⇒ a:b:c = 8:3:6.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 4:5 and b:c = 5:12, then a:b:c = ?

A. 3:5:13

B. 4:5:12

C. 8:10:24

D. 4:6:12

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 4:5, b:c = 5:12 ⇒ a:b:c = 4:5:12.

This question belongs to: Maths Ratio and Proportion

Question #3

Find the mean proportional between 17 and 42.

A. 26

B. 59

C. 52

D. 29

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Correct Answer: Option A

Explanation:
Mean proportional = √(17 × 42) = √(714) = 26.

This question belongs to: Maths Ratio and Proportion

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