(d) Both A and B are wrong.
EXPLANATION:
(A) is wrong because the value of V at the center is -3GM/2a and it increases continuously to -GM/a at the surface and from -GM/a at the surface to zero at the infinity. So it is continuous.
(B) is wrong because the value of E increases linearly from zero at the center to GM/a² at the surface, then decreases from GM/a² at the surface to zero at the infinity. So it is also continuous.