$$\begin{array}{|c|c|c|c|c|c|c|c|} \hline \textbf{$F_0$} & \textbf{$F_1$}& \textbf{$F_2$} & \textbf{$F_3$} & \textbf{$F_4$} & \textbf{$F_5$} & \textbf{$F_6$} & \textbf{$F_7$}\\\hline \textbf{$0$} & \text{$1$}& \text{$1$} & \text{$2$} & \text{$3$} & \text{$5$} & \text{$8$} & \text{$13$}\\\hline\end{array}$$
Option (e) is FALSE. $F_{5n}$ is a multiple of $4$, for every integer $n\ge 0.$