If a:b = 3:10 and b:c = 10:5, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 3:10 and b:c = 10:5, then a:b:c = ?

A. 2:10:6

B. 3:11:5

C. 6:20:10

D. 3:10:5

Answer: Option D

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 3:10, b:c = 10:5 ⇒ a:b:c = 3:10:5.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in the ratio 10:13 and their sum is 790. Find the numbers.

A. 680 and 884

B. 332 and 454

C. 353 and 416

D. 340 and 442

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Correct Answer: Option D

Explanation:
Numbers = 10k and 13k. 10k + 13k = 790 ⇒ k = 34. Thus, numbers are 340 and 442.

This question belongs to: Maths Ratio and Proportion

Question #2

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Find the mean proportional between 26 and 77.

A. 88

B. 44

C. 103

D. 47

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Correct Answer: Option B

Explanation:
Mean proportional = √(26 × 77) = √(2002) = 44.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 5:7. After 4 years, the ratio becomes 8:8. Present age of A is?

A. 42 years

B. 50 years

C. 45 years

D. 90 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 7k. Then (5k + 4)/(7k + 4) = 8/8. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

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