Two numbers are in the ratio 10:13 and their sum is 790. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 10:13 and their sum is 790. Find the numbers.

A. 680 and 884

B. 353 and 416

C. 332 and 454

D. 340 and 442

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 10k and 13k. 10k + 13k = 790 ⇒ k = 34. Thus, numbers are 340 and 442.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Two numbers are in ratio 10:6. Their difference is 122. What is their sum?

A. 582

B. 630

C. 544

D. 272

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Correct Answer: Option C

Explanation:
Numbers 10k, 6k. Difference |10-6|k = 122 ⇒ k = 30. Sum = (10+6)k ≈ 544.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 2:3 and b:c = 3:5, then a:b:c = ?

A. 1:3:6

B. 4:6:10

C. 2:3:5

D. 2:4:5

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 2:3, b:c = 3:5 ⇒ a:b:c = 2:3:5.

This question belongs to: Maths Ratio and Proportion

Question #3

If a:b = 3:8 and b:c = 8:10, then a:b:c = ?

A. 3:8:10

B. 3:9:10

C. 6:16:20

D. 2:8:11

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:8, b:c = 8:10 ⇒ a:b:c = 3:8:10.

This question belongs to: Maths Ratio and Proportion

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