Two numbers are in the ratio 14:6 and their sum is 644. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 14:6 and their sum is 644. Find the numbers.

A. 448 and 192

B. 433 and 198

C. 462 and 176

D. 896 and 384

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 14k and 6k. 14k + 6k = 644 ⇒ k = 32. Thus, numbers are 448 and 192.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 2:7 and b:c = 7:9, then a:b:c = ?

A. 4:14:18

B. 2:8:9

C. 1:7:10

D. 2:7:9

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:7, b:c = 7:9 ⇒ a:b:c = 2:7:9.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 4:10 and b:c = 10:6, then a:b:c = ?

A. 4:10:6

B. 4:11:6

C. 3:10:7

D. 8:20:12

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:10, b:c = 10:6 ⇒ a:b:c = 4:10:6.

This question belongs to: Maths Ratio and Proportion

Question #3

Find the mean proportional between 19 and 14.

A. 16

B. 33

C. 19

D. 32

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Correct Answer: Option A

Explanation:
Mean proportional = √(19 × 14) = √(266) = 16.

This question belongs to: Maths Ratio and Proportion

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