Two numbers are in ratio 9:6. Their difference is 123. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 9:6. Their difference is 123. What is their sum?

A. 593

B. 540

C. 270

D. 633

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers 9k, 6k. Difference |9-6|k = 123 ⇒ k = 41. Sum = (9+6)k ≈ 540.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 2:8 and b:c = 8:11, then a:b:c = ?

A. 4:16:22

B. 1:8:12

C. 2:8:11

D. 2:9:11

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 2:8, b:c = 8:11 ⇒ a:b:c = 2:8:11.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 8:6 and b:c = 6:11, then a:b:c = ?

A. 16:12:22

B. 7:6:12

C. 8:6:11

D. 8:7:11

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 8:6, b:c = 6:11 ⇒ a:b:c = 8:6:11.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 12:5 and their sum is 771. Find the numbers.

A. 556 and 206

B. 1080 and 450

C. 523 and 234

D. 540 and 225

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Correct Answer: Option D

Explanation:
Numbers = 12k and 5k. 12k + 5k = 771 ⇒ k = 45. Thus, numbers are 540 and 225.

This question belongs to: Maths Ratio and Proportion

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