Two numbers are in the ratio 12:8 and their sum is 523. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:8 and their sum is 523. Find the numbers.

A. 294 and 220

B. 312 and 208

C. 624 and 416

D. 333 and 191

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers = 12k and 8k. 12k + 8k = 523 ⇒ k = 26. Thus, numbers are 312 and 208.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Find the mean proportional between 11 and 45.

A. 22

B. 56

C. 25

D. 44

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Correct Answer: Option A

Explanation:
Mean proportional = √(11 × 45) = √(495) = 22.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 5:4 and b:c = 4:6, then a:b:c = ?

A. 5:4:6

B. 10:8:12

C. 5:5:6

D. 4:4:7

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 5:4, b:c = 4:6 ⇒ a:b:c = 5:4:6.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 11:6. Their difference is 58. What is their sum?

A. 136

B. 391

C. 310

D. 272

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Correct Answer: Option D

Explanation:
Numbers 11k, 6k. Difference |11-6|k = 58 ⇒ k = 11. Sum = (11+6)k ≈ 272.

This question belongs to: Maths Ratio and Proportion

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