If a:b = 6:9 and b:c = 9:10, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 6:9 and b:c = 9:10, then a:b:c = ?

A. 12:18:20

B. 6:10:10

C. 6:9:10

D. 5:9:11

Answer: Option C

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 6:9, b:c = 9:10 ⇒ a:b:c = 6:9:10.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 7:6 and b:c = 6:5, then a:b:c = ?

A. 6:6:6

B. 7:7:5

C. 7:6:5

D. 14:12:10

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 7:6, b:c = 6:5 ⇒ a:b:c = 7:6:5.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in ratio 8:5. Their difference is 125. What is their sum?

A. 201

B. 403

C. 519

D. 445

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Correct Answer: Option B

Explanation:
Numbers 8k, 5k. Difference |8-5|k = 125 ⇒ k = 41. Sum = (8+5)k ≈ 403.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 6:5. After 5 years, the ratio becomes 9:6. Present age of A is?

A. 95 years

B. 90 years

C. 180 years

D. 85 years

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Correct Answer: Option B

Explanation:
Let ages 6k and 5k. Then (6k + 5)/(5k + 5) = 9/6. Solving gives k ≈ 15, age of A = 6*15 = 90.

This question belongs to: Maths Ratio and Proportion

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