If a:b = 8:5 and b:c = 5:6, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 8:5 and b:c = 5:6, then a:b:c = ?

A. 8:5:6

B. 8:6:6

C. 7:5:7

D. 16:10:12

Answer: Option A

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 8:5, b:c = 5:6 ⇒ a:b:c = 8:5:6.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in ratio 10:6. Their difference is 122. What is their sum?

A. 272

B. 544

C. 582

D. 630

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Correct Answer: Option B

Explanation:
Numbers 10k, 6k. Difference |10-6|k = 122 ⇒ k = 30. Sum = (10+6)k ≈ 544.

This question belongs to: Maths Ratio and Proportion

Question #2

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

A. 88 and 24

B. 106 and 7

C. 176 and 48

D. 73 and 38

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Correct Answer: Option A

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

This question belongs to: Maths Ratio and Proportion

Question #3

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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. 173 years

B. 336 years

C. 161 years

D. 168 years

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Correct Answer: Option D

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

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