Two numbers are in the ratio 13:5 and their sum is 464. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 13:5 and their sum is 464. Find the numbers.

A. 341 and 114

B. 650 and 250

C. 325 and 125

D. 314 and 136

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers = 13k and 5k. 13k + 5k = 464 ⇒ k = 25. Thus, numbers are 325 and 125.

This question belongs to: Maths Ratio and Proportion

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Question #1

Two numbers are in the ratio 13:10 and their sum is 746. Find the numbers.

A. 416 and 320

B. 434 and 298

C. 403 and 338

D. 832 and 640

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Correct Answer: Option A

Explanation:
Numbers = 13k and 10k. 13k + 10k = 746 ⇒ k = 32. Thus, numbers are 416 and 320.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 4:7. After 12 years, the ratio becomes 6:9. Present age of A is?

A. 49 years

B. 40 years

C. 88 years

D. 44 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 7k. Then (4k + 12)/(7k + 12) = 6/9. Solving gives k ≈ 11, age of A = 4*11 = 44.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 3:6. After 11 years, the ratio becomes 5:9. Present age of A is?

A. 49 years

B. 57 years

C. 114 years

D. 62 years

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Correct Answer: Option B

Explanation:
Let ages 3k and 6k. Then (3k + 11)/(6k + 11) = 5/9. Solving gives k ≈ 19, age of A = 3*19 = 57.

This question belongs to: Maths Ratio and Proportion

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