Two numbers are in the ratio 11:3 and their sum is 121. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 11:3 and their sum is 121. Find the numbers.

A. 176 and 48

B. 106 and 7

C. 88 and 24

D. 73 and 38

Answer: Option C

Solution (By JKExamLibrary)

Numbers = 11k and 3k. 11k + 3k = 121 ⇒ k = 8. Thus, numbers are 88 and 24.

This question belongs to: Maths Ratio and Proportion

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Question #1

Two numbers are in the ratio 8:6 and their sum is 434. Find the numbers.

A. 262 and 167

B. 248 and 186

C. 496 and 372

D. 230 and 206

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Correct Answer: Option B

Explanation:
Numbers = 8k and 6k. 8k + 6k = 434 ⇒ k = 31. Thus, numbers are 248 and 186.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 3:6 and b:c = 6:7, then a:b:c = ?

A. 3:6:7

B. 3:7:7

C. 2:6:8

D. 6:12:14

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:6, b:c = 6:7 ⇒ a:b:c = 3:6:7.

This question belongs to: Maths Ratio and Proportion

Question #3

Find the mean proportional between 7 and 9.

A. 16

B. 14

C. 7

D. 10

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Correct Answer: Option C

Explanation:
Mean proportional = √(7 × 9) = √(63) = 7.

This question belongs to: Maths Ratio and Proportion

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