If a:b = 3:5 and b:c = 5:5, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 3:5 and b:c = 5:5, then a:b:c = ?

A. 3:5:5

B. 3:6:5

C. 2:5:6

D. 6:10:10

Answer: Option A

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 3:5, b:c = 5:5 ⇒ a:b:c = 3:5:5.

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 3:7. After 5 years, the ratio becomes 5:10. Present age of A is?

A. 72 years

B. 144 years

C. 77 years

D. 65 years

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Correct Answer: Option A

Explanation:
Let ages 3k and 7k. Then (3k + 5)/(7k + 5) = 5/10. Solving gives k ≈ 24, age of A = 3*24 = 72.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in ratio 9:4. Their difference is 113. What is their sum?

A. 326

B. 395

C. 143

D. 286

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Correct Answer: Option D

Explanation:
Numbers 9k, 4k. Difference |9-4|k = 113 ⇒ k = 22. Sum = (9+4)k ≈ 286.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in the ratio 5:3 and their sum is 449. Find the numbers.

A. 274 and 173

B. 296 and 147

C. 560 and 336

D. 280 and 168

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Correct Answer: Option D

Explanation:
Numbers = 5k and 3k. 5k + 3k = 449 ⇒ k = 56. Thus, numbers are 280 and 168.

This question belongs to: Maths Ratio and Proportion

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