Two numbers are in the ratio 5:9 and their sum is 612. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 5:9 and their sum is 612. Find the numbers.

A. 240 and 375

B. 215 and 387

C. 430 and 774

D. 196 and 394

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers = 5k and 9k. 5k + 9k = 612 ⇒ k = 43. Thus, numbers are 215 and 387.

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 5:7. After 9 years, the ratio becomes 6:10. Present age of A is?

A. 50 years

B. 45 years

C. 40 years

D. 90 years

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Correct Answer: Option B

Explanation:
Let ages 5k and 7k. Then (5k + 9)/(7k + 9) = 6/10. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 4:6 and b:c = 6:8, then a:b:c = ?

A. 4:7:8

B. 3:6:9

C. 8:12:16

D. 4:6:8

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:6, b:c = 6:8 ⇒ a:b:c = 4:6:8.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 7:5. After 11 years, the ratio becomes 8:7. Present age of A is?

A. 210 years

B. 102 years

C. 105 years

D. 110 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 5k. Then (7k + 11)/(5k + 11) = 8/7. Solving gives k ≈ 15, age of A = 7*15 = 105.

This question belongs to: Maths Ratio and Proportion

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