Two numbers are in the ratio 15:6 and their sum is 278. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 15:6 and their sum is 278. Find the numbers.

A. 390 and 156

B. 181 and 92

C. 195 and 78

D. 221 and 61

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers = 15k and 6k. 15k + 6k = 278 ⇒ k = 13. Thus, numbers are 195 and 78.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Two numbers are in the ratio 11:9 and their sum is 682. Find the numbers.

A. 367 and 312

B. 399 and 285

C. 748 and 612

D. 374 and 306

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Correct Answer: Option D

Explanation:
Numbers = 11k and 9k. 11k + 9k = 682 ⇒ k = 34. Thus, numbers are 374 and 306.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 7:9 and b:c = 9:8, then a:b:c = ?

A. 7:10:8

B. 14:18:16

C. 7:9:8

D. 6:9:9

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 7:9, b:c = 9:8 ⇒ a:b:c = 7:9:8.

This question belongs to: Maths Ratio and Proportion

Question #3

Milk and water are in ratio 9:6 in a 433 L mixture. Quantity of milk?

A. 518 L

B. 259 L

C. 174 L

D. 286 L

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Correct Answer: Option B

Explanation:
Total parts = 15. Milk = [9 / (9+6)] × 433 = 259 L.

This question belongs to: Maths Ratio and Proportion

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