Three Statements are given followed by two conclusions numbered I and II. 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.

Statement I: All bicycles are wheels.
Statement II: Some bicycles are vehicles.
Statement III: Some vehicles are not tyres.

Conclusion I: Some bicycles are tyres.
Conclusion II: Some wheels are not vehicles.