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.

What time is it when an elephant sits on a fence?

What always comes into a house through the keyhole?

What kind of band never plays music?

If 21x = 79x, what is the value of x?

People put me on the table and cut me but do not eat me. What am I?

I am never scared but became petrified and can’t live in a house but would die to make one. What am I?

The host of a game show offers the guest a choice of three doors. Behind one is an expensive car, but behind the other two are goats.
After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car).

Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.

You cannot hear the goats from behind the doors, or in any way know which door has the prize.

Should you stay, or switch, or doesn't it matter?

Can you decipher the below rebus?

PBLUESAISNUERSES

Count the squares in the matchstick puzzle below?