What is both possible and impossible at the same time?

Three doctors said that Bill was their brother. Bill says he has no brothers. How many brothers does Bill actually have?

Why do people go to bed?

I have a mouth but I don't eat.
I have a bank but have no money.
I have a bed but i dont sleep.
I wave but have no hands.

Who Am I ?

A Car driver was heading down a street in Washington. He went right past a stop sign without stopping, he turned left where there was a 'no left turn' sign and he went the wrong way on a one-way street. Then he went on the right side of the road past a cop car. Still, he didn't break any traffic laws. Why not?

Jack and Joseph are well-known golf rivals. One Day during a match, they were level at a score of 30. Jack hit a bad shot and Joseph added 10 to his score. Joseph then hit an awesome shot and he won the game.

How ?

What can run but never walk, have a mouth that never speaks, have a head that never weeps, and have a bed but never sleeps?

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain

A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?

f you were running a race, and you passed the person in 2nd place, what place would you be in now?