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:
No sheet is a pillow.
Some pillows are blankets.
All blankets are rugs.

Conclusions:
I. Some pillows are rugs.
II. All blankets can never be sheets.
III. Some rugs are sheets.