Here we have been given two charged body W and X.
We are asked to determine the nature of charge.
Before coming into conclusion, first we have to understand the electric field lines.
The electric field lines are pictorial representation of imaginary lines which are drawn to denote the electric field in a graphical way.
The electric field line starts from a positive charge and ends at a negative charge.It means for positive charges the electric field lines are outward and for negative charges the filed lines will be inward.
In the given diagram,the filed lines for W is towards W itself.The same is also in case of X.
Hence both the charges must be negative in nature.
Hence the correct answer to the question will be B i.e W negative and X: NEGATIVE.