Answer the question based on the information given below

There are six boxes A, B, C, D, E and F. Each one has one of the four shapes - cube, cuboid, parallelepiped and cylindrical. There is at least one box of each shape and they satisfy the following:

- A is not cylindrical

- Between B and C, one is cubical and the other is parallelepiped.

- There are not more than two parallelepipeds.

- D is of the same shape as C or E but not both.

- B is of the shape which most of the boxes A to F has than any other shape.

Which of the following statements is/are true

(I) C and D are not of the same shape

(II) Box C is parallelepiped

(III) Box F is the same shape as box A