Two numbers are in the ratio 11:9 and their sum is 682. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 11:9 and their sum is 682. Find the numbers.

A. 399 and 285

B. 748 and 612

C. 367 and 312

D. 374 and 306

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 11k and 9k. 11k + 9k = 682 ⇒ k = 34. Thus, numbers are 374 and 306.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 8:9 and b:c = 9:8, then a:b:c = ?

A. 7:9:9

B. 8:10:8

C. 16:18:16

D. 8:9:8

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 8:9, b:c = 9:8 ⇒ a:b:c = 8:9:8.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 6:9 and b:c = 9:11, then a:b:c = ?

A. 12:18:22

B. 6:9:11

C. 6:10:11

D. 5:9:12

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 6:9, b:c = 9:11 ⇒ a:b:c = 6:9:11.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 4:4. After 6 years, the ratio becomes 7:7. Present age of A is?

A. 100 years

B. 96 years

C. 200 years

D. 105 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 4k. Then (4k + 6)/(4k + 6) = 7/7. Solving gives k ≈ 25, age of A = 4*25 = 100.

This question belongs to: Maths Ratio and Proportion

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