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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:

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1. 

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:

[A]. 20
[B]. 30
[C]. 48
[D]. 58

Answer: Option B

Explanation:

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 = 1-sym-oparen-h1 5 x 3 1-sym-cparen-h1 : 1-sym-oparen-h1 8 x 3 1-sym-cparen-h1 = 3 : 24
5 5 5
 A : B : C = 2 : 3 : 24 = 10 : 15 : 24
5
 B = 1-sym-oparen-h1 98 x 15 1-sym-cparen-h1 = 30.
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