Two numbers are in the ratio 12:10 and their sum is 753. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:10 and their sum is 753. Find the numbers.

A. 429 and 320

B. 816 and 680

C. 408 and 340

D. 396 and 345

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers = 12k and 10k. 12k + 10k = 753 ⇒ k = 34. Thus, numbers are 408 and 340.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 3:4 and b:c = 4:6, then a:b:c = ?

A. 3:4:6

B. 6:8:12

C. 3:5:6

D. 2:4:7

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:4, b:c = 4:6 ⇒ a:b:c = 3:4:6.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in ratio 7:11. Their difference is 125. What is their sum?

A. 153

B. 389

C. 345

D. 306

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Correct Answer: Option D

Explanation:
Numbers 7k, 11k. Difference |7-11|k = 125 ⇒ k = 31. Sum = (7+11)k ≈ 306.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 5:14 and their sum is 285. Find the numbers.

A. 96 and 184

B. 75 and 210

C. 150 and 420

D. 58 and 219

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Correct Answer: Option B

Explanation:
Numbers = 5k and 14k. 5k + 14k = 285 ⇒ k = 15. Thus, numbers are 75 and 210.

This question belongs to: Maths Ratio and Proportion

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