In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.

Statements:

All balls are flowers.

All flowers are plates.

Some plates are cups.

Conclusions:

I. Some flowers are balls.

II. Some plates are flowers.

III. All cups are plates.