If a:b = 5:5 and b:c = 5:6, then a:b:c = ? MCQ with Answer and Explanation

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

A. 10:10:12

B. 5:5:6

C. 4:5:7

D. 5:6:6

Answer: Option B

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in the ratio 13:4 and their sum is 771. Find the numbers.

A. 585 and 180

B. 609 and 170

C. 1170 and 360

D. 578 and 197

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Correct Answer: Option A

Explanation:
Numbers = 13k and 4k. 13k + 4k = 771 ⇒ k = 45. Thus, numbers are 585 and 180.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 5:7. After 9 years, the ratio becomes 6:10. Present age of A is?

A. 90 years

B. 45 years

C. 50 years

D. 40 years

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Correct Answer: Option B

Explanation:
Let ages 5k and 7k. Then (5k + 9)/(7k + 9) = 6/10. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 7:8 and b:c = 8:7, then a:b:c = ?

A. 6:8:8

B. 14:16:14

C. 7:8:7

D. 7:9:7

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 7:8, b:c = 8:7 ⇒ a:b:c = 7:8:7.

This question belongs to: Maths Ratio and Proportion

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