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Question

Q1. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

20

30

45

None of these

Accepted Answer

Answer : 30

Let the three parts be A, B, C. Then,
A : B = 2 : 3 and B : C = 5 : 8 = 5 x (3/5) : 8 x (3/5) = 3 : 24/5
A : B : C = 2 : 3 : 24/5 = 10 : 15 : 24
∴ B = 98 x (15/49) = 30.
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