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:

Answer: Option B

Let the three parts be A, B, C. Then,
A : B = 2 : 3 and B : C = 5 : 8
$$\begin{array}{rl}& =\left(5\times \frac{3}{5}\right):\left(8\times \frac{3}{5}\right)=3:\frac{24}{5}\\ & \Rightarrow A:B:C=2:3:\frac{24}{5}=10:15:24\\ & \Rightarrow B=98\times \frac{15}{49}=30\end{array}$$