Three statements are given, followed by four conclusions numbered I, II, III and IV. 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:
1. All carpets are beds.
2. Some tables are carpets.
3. All pillows are tables.
Conclusions:
I. All pillows are beds.
II. Some pillows are beds.
III. Some beds are tables.
IV. All tables are beds.