The problem is as follows:
Each of the blank square must be filled using a positive number such the product of the numbers in each column and each row to be equal to $1$. Also the product of the four numbers which occupy the $2 \times 2$ square must be 2. Find the sum of the digits of the number to be written in the center square painted with color.
The alternatives given are:
$\begin{array}{ll} 1.&4\\ 2.&6\\ 3.&5\\ 4.&7\\ \end{array}$
I'm stuck with this problem at the very beginning as I'm not sure if there exists some sort of methodology or approach that can be used. There is also the fact that I don't know what's meant by the phrase "the four numbers which occupy the $2 \times 2$ square must be 2". I believe that what it was intended to be asked is that there are four zones in the $3 \times 3$ square which can be $2 \times 2$, two in the upper portion of the square and the other two in the lower portion, but still I'm not sure about this. Can somebody with experience solving these kind of riddles help me?. I'd appreciate if there could be some sort of logic that can be explained with many details as possible so I can understand what's going on. Typically I would try to offer some attempt into solving this, but I really have no idea on what to do other than just guessing.
Trivially, this means that all entries are $1$. But at the same time
This is a contradiction. So if you've stated the problem correctly, it is wrong.