What does this Rebus Picture mean?

Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

Can you make four (4) nines (9) equal 100?

You know three triplets: Frank John and Wayne (need to return your money). Frank always tells the truth while John and Wayne always lie. You meet one of them on the road and can ask him a three-word question.
Which question, will you ask?

Get total of 120 by using five zeros 0,0,0,0,0 and any one mathematical operator.
Do you ?

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.

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

You have two bottles of pills marked with labels A and B. The pills are identical. The doctor has asked you to take one A pill and one B pill daily. You cant take more or less than that.

While taking out the pills one day, you took out one pill from A and by mistake took out two from B. You have no idea which pill is which now.

You cant throw away the expensive pills. What will you do now?

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

why?