Which of the Following Statements Is(are) False

Which of the following statements is(are) false?
I.The hexagonal closest-packed structure is ABAB....
II.A body-centered cubic unit cell has four atoms per unit cell.
III.For unit cells having the same edge length, a simple cubic structure would have a smaller density than a body-centered cube.
IV.Atoms in a solid consisting of only one element would have six nearest neighbors if the crystal structure was a simple cubic array.

A) I only
B) I, IV
C) II, III, IV
D) II, III only
E) II only