How can you drop a raw egg from a height onto a concrete floor without cracking it?

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?

What's the only room from which no one can enter or leave

What can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?

Can you find out what is missing?

1 3 5
2 4 ?

Hint: It's not six. Think out of the box.

A bomb goes off.
Carnage.
One person, only a few feet away, survives! How can this be?

Which of the following words don't belong in the group and why?
CORSET, COSTER, SECTOR, ESCORT, COURTS

John has played 50 ODI's and his average is 50. How many runs should he score in his 51st ODI, so that his average score jumps to 51?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.