Two numbers are in the ratio 15:4 and their sum is 182. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 15:4 and their sum is 182. Find the numbers.

A. 135 and 36

B. 270 and 72

C. 155 and 15

D. 118 and 54

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 15k and 4k. 15k + 4k = 182 ⇒ k = 9. Thus, numbers are 135 and 36.

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 31 and 33.

A. 64

B. 31

C. 62

D. 34

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Correct Answer: Option B

Explanation:
Mean proportional = √(31 × 33) = √(1023) = 31.

This question belongs to: Maths Ratio and Proportion

Question #2

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

A. 4:6:6

B. 4:7:6

C. 8:12:12

D. 3:6:7

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 390 and 156

B. 221 and 61

C. 195 and 78

D. 181 and 92

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Correct Answer: Option C

Explanation:
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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