A $5\times 5$ grid of single-digit numbers in $\mathbb N$, with one cell empty. What number should be in the cell? 
16.$$\begin{array}{|c|c|c|c|c|}
\hline
2 & 7 & 4 & 3 & 5
\\\hline
7 & 3 & 4 & 5 & 4
\\\hline
1 & 3 & 2 & 2 & 6
\\\hline
2 & 4 & 5 & 4 & \mathbf{?}
\\\hline
8 & 3 & 6 & 3 & 5
\\\hline
\end{array} $$
Is the answer 1, 2, 3, 4, or 5?
Photograph of the problem source

Really I don't understand. How does such a question relate to logic? For me, it's a game about numbers.Not Logic. It really annoys me to solve such a question. Anyway, I took 12 minutes for this question in exam. I came home. I could not even "solve" it at home ether. I think, such a question is nonsense. No science has anything to do with it. Please help me with the question and please explain me, what does it really mean to solve such a question?

The limitation of such tests is they cannot check what logic was actually used. For example, Blue's method looks convincing, however one might add all numbers $(98)$ and think it is $2$ short to a hundred. 
