Two numbers are in the ratio 4:5 and their sum is 398. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 4:5 and their sum is 398. Find the numbers.

A. 176 and 220

B. 157 and 225

C. 352 and 440

D. 190 and 207

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 4k and 5k. 4k + 5k = 398 ⇒ k = 44. Thus, numbers are 176 and 220.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

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

A. 3:7:4

B. 6:14:8

C. 2:7:5

D. 3:8:4

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 11:5 and their sum is 789. Find the numbers.

A. 566 and 224

B. 1078 and 490

C. 524 and 251

D. 539 and 245

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Correct Answer: Option D

Explanation:
Numbers = 11k and 5k. 11k + 5k = 789 ⇒ k = 49. Thus, numbers are 539 and 245.

This question belongs to: Maths Ratio and Proportion

Question #3

Find the mean proportional between 17 and 42.

A. 52

B. 59

C. 29

D. 26

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

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