Simple riddles for teens with simple answers

What kind of cup doesn't hold water?

You always carry me in your hand, always with you, from your birth till your death! I am a fruit. What Am I?

What comes down but never goes up?

I always come down and never ever go up? Think, think and think! We all just love it.

I know a word which reads the same when written forward, backward or upside down. Do you?