We are given that:
There are 5 questions having 2 options (True or False)
No question is left unanswered
The number of ways this can be answered is shown below:
[tex]\begin{gathered} \text{This is an independent event } \\ n=2^5 \\ n=2\times2\times2\times2\times2 \\ n=32ways \end{gathered}[/tex]Therefore, the questions can be answered in 32 ways