If a:b = 7:7 and b:c = 7:9, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 7:7 and b:c = 7:9, then a:b:c = ?

A. 7:7:9

B. 6:7:10

C. 14:14:18

D. 7:8:9

Answer: Option A

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 7:7, b:c = 7:9 ⇒ a:b:c = 7:7:9.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in ratio 6:4. Their difference is 103. What is their sum?

A. 250

B. 500

C. 617

D. 558

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Correct Answer: Option B

Explanation:
Numbers 6k, 4k. Difference |6-4|k = 103 ⇒ k = 51. Sum = (6+4)k ≈ 500.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 7:4. After 7 years, the ratio becomes 10:5. Present age of A is?

A. 78 years

B. 168 years

C. 84 years

D. 89 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 4k. Then (7k + 7)/(4k + 7) = 10/5. Solving gives k ≈ 12, age of A = 7*12 = 84.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 3:7 and b:c = 7:11, then a:b:c = ?

A. 2:7:12

B. 6:14:22

C. 3:7:11

D. 3:8:11

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:7, b:c = 7:11 ⇒ a:b:c = 3:7:11.

This question belongs to: Maths Ratio and Proportion

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