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

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

A. 2:4:8

B. 3:4:7

C. 3:5:7

D. 6:8:14

Answer: Option B

Solution (By JKSSB Mock Tests)

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

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 4:6. After 10 years, the ratio becomes 7:8. Present age of A is?

A. 37 years

B. 64 years

C. 32 years

D. 26 years

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Correct Answer: Option C

Explanation:
Let ages 4k and 6k. Then (4k + 10)/(6k + 10) = 7/8. Solving gives k ≈ 8, age of A = 4*8 = 32.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in the ratio 10:5 and their sum is 127. Find the numbers.

A. 80 and 40

B. 92 and 20

C. 61 and 55

D. 160 and 80

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Correct Answer: Option A

Explanation:
Numbers = 10k and 5k. 10k + 5k = 127 ⇒ k = 8. Thus, numbers are 80 and 40.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in ratio 6:9. Their difference is 102. What is their sum?

A. 303

B. 255

C. 341

D. 127

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Correct Answer: Option B

Explanation:
Numbers 6k, 9k. Difference |6-9|k = 102 ⇒ k = 34. Sum = (6+9)k ≈ 255.

This question belongs to: Maths Ratio and Proportion

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