If a:b = 4:3 and b:c = 3:7, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 4:3 and b:c = 3:7, then a:b:c = ?

A. 4:4:7

B. 4:3:7

C. 8:6:14

D. 3:3:8

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 4:3, b:c = 3:7 ⇒ a:b:c = 4:3:7.

This question belongs to: Maths Ratio and Proportion

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Question #1

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

A. 73 and 38

B. 106 and 7

C. 88 and 24

D. 176 and 48

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Correct Answer: Option C

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 #2

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

A. 100 years

B. 96 years

C. 105 years

D. 200 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 4k. Then (4k + 6)/(4k + 6) = 7/7. Solving gives k ≈ 25, age of A = 4*25 = 100.

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 630

B. 272

C. 582

D. 544

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Correct Answer: Option D

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

This question belongs to: Maths Ratio and Proportion

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