Three Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to bear variance with commonly known facts, decide which of the conclusions logically follow(s) from the
Statements:

Statement I: All bicycles are wheels.
Statement II: Some wheels are rubber.
Statement III: No rubber is plastic.

Conclusion I: Some wheels are bicycles.
Conclusion II: Some wheels are plastics.