Two numbers are in the ratio 14:6 and their sum is 644. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 14:6 and their sum is 644. Find the numbers.

A. 448 and 192

B. 462 and 176

C. 896 and 384

D. 433 and 198

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 14k and 6k. 14k + 6k = 644 ⇒ k = 32. Thus, numbers are 448 and 192.

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 3:5. After 6 years, the ratio becomes 4:7. Present age of A is?

A. 126 years

B. 58 years

C. 63 years

D. 68 years

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Correct Answer: Option C

Explanation:
Let ages 3k and 5k. Then (3k + 6)/(5k + 6) = 4/7. Solving gives k ≈ 21, age of A = 3*21 = 63.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 5:4. After 4 years, the ratio becomes 6:7. Present age of A is?

A. 45 years

B. 90 years

C. 42 years

D. 50 years

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Correct Answer: Option A

Explanation:
Let ages 5k and 4k. Then (5k + 4)/(4k + 4) = 6/7. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

Question #3

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Find the mean proportional between 25 and 32.

A. 31

B. 28

C. 57

D. 56

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Correct Answer: Option B

Explanation:
Mean proportional = √(25 × 32) = √(800) = 28.

This question belongs to: Maths Ratio and Proportion

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