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 follow(s) from the statements.

Statements:
All pillows are beds.
No table is a bed.
Some tables are chairs.

Conclusions:
I. No pillow is a table.
II. Some chairs are pillows.
III. No bed is a chair.