Two numbers are in the ratio 14:12 and their sum is 772. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 14:12 and their sum is 772. Find the numbers.

A. 389 and 367

B. 421 and 329

C. 812 and 696

D. 406 and 348

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 14k and 12k. 14k + 12k = 772 ⇒ k = 29. Thus, numbers are 406 and 348.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 6:3 and b:c = 3:12, then a:b:c = ?

A. 6:3:12

B. 6:4:12

C. 5:3:13

D. 12:6:24

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 6:3, b:c = 3:12 ⇒ a:b:c = 6:3:12.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 6:4. After 5 years, the ratio becomes 9:7. Present age of A is?

A. 119 years

B. 228 years

C. 108 years

D. 114 years

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Correct Answer: Option D

Explanation:
Let ages 6k and 4k. Then (6k + 5)/(4k + 5) = 9/7. Solving gives k ≈ 19, age of A = 6*19 = 114.

This question belongs to: Maths Ratio and Proportion

Question #3

If a:b = 2:9 and b:c = 9:4, then a:b:c = ?

A. 4:18:8

B. 2:9:4

C. 1:9:5

D. 2:10:4

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:9, b:c = 9:4 ⇒ a:b:c = 2:9:4.

This question belongs to: Maths Ratio and Proportion

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