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Question

General Aptitude Question on Ratio

If A : B = 5 : 6 and B : C = 6 : 7, then A + B : B + C : A + C is:

A

10 : 12 : 11

B

9 : 11 : 10

C

11 : 13 : 12

D

19 : 21 : 20

Answer

9 : 11 : 10

Explanation

Solution

Since A : B = 5 : 6 and B : C = 6 : 7, we can find the combined ratio A : B : C = 5 : 6 : 7. Adding these values, A + B = 5 + 6 = 11, B + C = 6 + 7 = 13, and A + C = 5 + 7 = 12. Hence, A + B : B + C : A + C = 9 : 11 : 10.