Two numbers are in the ratio 12:11 and their sum is 394. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:11 and their sum is 394. Find the numbers.

A. 408 and 374

B. 192 and 204

C. 204 and 187

D. 222 and 159

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers = 12k and 11k. 12k + 11k = 394 ⇒ k = 17. Thus, numbers are 204 and 187.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

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

A. 8:7:11

B. 8:6:11

C. 7:6:12

D. 16:12:22

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Correct Answer: Option B

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 #2

Two numbers are in ratio 9:7. Their difference is 150. What is their sum?

A. 326

B. 144

C. 423

D. 288

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Correct Answer: Option D

Explanation:
Numbers 9k, 7k. Difference |9-7|k = 150 ⇒ k = 75. Sum = (9+7)k ≈ 288.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 7:4. Their difference is 143. What is their sum?

A. 290

B. 372

C. 264

D. 132

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Correct Answer: Option C

Explanation:
Numbers 7k, 4k. Difference |7-4|k = 143 ⇒ k = 47. Sum = (7+4)k ≈ 264.

This question belongs to: Maths Ratio and Proportion

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