Which of the following statements are true for the fact :
Depletion layer is called "depletion layer ".
A. It is depleted of charge carrier density
B. It is depleted of charge density
C. It has barrier potential
D. All of the above

The answer is A 

In the depletion layer, electrons combine with holes producing charge density so that region is depleted of charge carriers  but it has charge density .

Conclusion: Neutral but still having non zero charge density .

I guess, the answer is C.