Two numbers are in the ratio 13:11 and their sum is 287. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 13:11 and their sum is 287. Find the numbers.

A. 158 and 106

B. 286 and 242

C. 143 and 121

D. 138 and 127

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers = 13k and 11k. 13k + 11k = 287 ⇒ k = 11. Thus, numbers are 143 and 121.

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 20 and 62.

A. 82

B. 38

C. 35

D. 70

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Correct Answer: Option C

Explanation:
Mean proportional = √(20 × 62) = √(1240) = 35.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 11:15 and their sum is 450. Find the numbers.

A. 181 and 267

B. 214 and 229

C. 374 and 510

D. 187 and 255

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Correct Answer: Option D

Explanation:
Numbers = 11k and 15k. 11k + 15k = 450 ⇒ k = 17. Thus, numbers are 187 and 255.

This question belongs to: Maths Ratio and Proportion

Question #3

If a:b = 5:10 and b:c = 10:4, then a:b:c = ?

A. 5:11:4

B. 10:20:8

C. 5:10:4

D. 4:10:5

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 5:10, b:c = 10:4 ⇒ a:b:c = 5:10:4.

This question belongs to: Maths Ratio and Proportion

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