Two numbers are in the ratio 14:9 and their sum is 497. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 14:9 and their sum is 497. Find the numbers.

A. 286 and 198

B. 294 and 189

C. 307 and 170

D. 588 and 378

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers = 14k and 9k. 14k + 9k = 497 ⇒ k = 21. Thus, numbers are 294 and 189.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Ratio of present ages of A and B is 5:8. After 6 years, the ratio becomes 6:11. Present age of A is?

A. 160 years

B. 85 years

C. 80 years

D. 74 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 8k. Then (5k + 6)/(8k + 6) = 6/11. Solving gives k ≈ 16, age of A = 5*16 = 80.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 6:9 and b:c = 9:4, then a:b:c = ?

A. 6:9:4

B. 5:9:5

C. 12:18:8

D. 6:10:4

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 6:9, b:c = 9:4 ⇒ a:b:c = 6:9:4.

This question belongs to: Maths Ratio and Proportion

Question #3

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Find the mean proportional between 31 and 78.

A. 49

B. 52

C. 109

D. 98

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Correct Answer: Option A

Explanation:
Mean proportional = √(31 × 78) = √(2418) = 49.

This question belongs to: Maths Ratio and Proportion

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