Answer:
Soft, hairy, from door to door. I am the pet that always stays on the floor. What am I?
I am the kind of nut that is empty at the center and has no shell.
I work when I play and play when I work. What am I?
I belong to you but others use me more often than you do. What am I?
I can be driven but have no wheels. I can be sliced but still remains whole
The answer I give is yes, but what I mean is no. What was the question?