Two 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 follow(s) from the statements.
Statements:
All cups are plates.
All plates are spoons.
Conclusions:
I. All plates are cups.
II. Some spoons are neither plates nor cups.
III. No spoon is a cup.