Answer:
I am perfect with a head perfect without a head; Perfect with a tail perfect without a tail; Perfect with either neither or both.
Some will use me, others not. Some have remembered, others forgot. For profit or gain, I'm used expertly. I can't be picked off the ground or tossed into the sea. What am I?
I am just two and two. I am hot. I am cold. I am the parent of numbers that cannot be told. I am a gift beyond measure a matter of course. I am given with pleasure when taken by force.
What has a face and two hands but no arms or legs?
What gets broken without being held?
Runs over fields and woods all day. Under the bed at night sits not alone, With long tongue hanging out, Resting at your feet until we go for a walk