Three statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true even if they do not conform to real-world knowledge, decide which of the conclusions logically follows/follow from the statements.

Statements:
1. All buildings are shops.
2. Some shops are boutiques.
3. No restaurant is a boutique.

Conclusions:
I. Some boutiques are buildings.
II. Some restaurants being buildings is a possibility.
III. No restaurant is a shop.