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 towels are cloths.
No cloth is a blanket.
Some blankets are cushions.

Conclusions:
I. Some towels are cushions.
II. No cushion is a cloth.
III. No towel is a blanket.