Two numbers are in the ratio 3:14 and their sum is 614. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 3:14 and their sum is 614. Find the numbers.

A. 108 and 504

B. 99 and 524

C. 216 and 1008

D. 118 and 488

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 3k and 14k. 3k + 14k = 614 ⇒ k = 36. Thus, numbers are 108 and 504.

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 11 and 38.

A. 23

B. 40

C. 20

D. 49

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Correct Answer: Option C

Explanation:
Mean proportional = √(11 × 38) = √(418) = 20.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 6:7 and b:c = 7:4, then a:b:c = ?

A. 6:7:4

B. 5:7:5

C. 6:8:4

D. 12:14:8

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 6:7, b:c = 7:4 ⇒ a:b:c = 6:7:4.

This question belongs to: Maths Ratio and Proportion

Question #3

If a:b = 8:7 and b:c = 7:12, then a:b:c = ?

A. 8:8:12

B. 8:7:12

C. 7:7:13

D. 16:14:24

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 8:7, b:c = 7:12 ⇒ a:b:c = 8:7:12.

This question belongs to: Maths Ratio and Proportion

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