Two numbers are in the ratio 12:6 and their sum is 224. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:6 and their sum is 224. Find the numbers.

A. 144 and 72

B. 156 and 45

C. 288 and 144

D. 132 and 88

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 12k and 6k. 12k + 6k = 224 ⇒ k = 12. Thus, numbers are 144 and 72.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Ratio of present ages of A and B is 7:4. After 9 years, the ratio becomes 10:5. Present age of A is?

A. 168 years

B. 161 years

C. 173 years

D. 336 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 4k. Then (7k + 9)/(4k + 9) = 10/5. Solving gives k ≈ 24, age of A = 7*24 = 168.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in the ratio 6:5 and their sum is 517. Find the numbers.

A. 267 and 244

B. 304 and 215

C. 564 and 470

D. 282 and 235

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Correct Answer: Option D

Explanation:
Numbers = 6k and 5k. 6k + 5k = 517 ⇒ k = 47. Thus, numbers are 282 and 235.

This question belongs to: Maths Ratio and Proportion

Question #3

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Find the mean proportional between 4 and 66.

A. 32

B. 70

C. 19

D. 16

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Correct Answer: Option D

Explanation:
Mean proportional = √(4 × 66) = √(264) = 16.

This question belongs to: Maths Ratio and Proportion

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