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.

Which flower has two lips?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

A man in a car saw a Golden Door, Silver Door and a Bronze Door. What door did he open first?

A wooden log balances equally on the scales when weighed with three-quarters of a pound and three-quarters of a wooden log.

Can you calculate the weight of the entire wooden log?

That attorney is my brother, testified the accountant.

But the attorney testified he didn't have a brother.

Who is lying?

In which direction should the missing arrow point?

I am the beginning of the end, and the end of time and space. I am essential to creation, and I surround every place. What am I?

James ordered a fishing rod, priced at $3.56. Unfortunately, James is an Eskimo who lives in a very remote part of Greenland and the import rules forbid any package longer than 4 feet to be imported. The fishing rod was 4 feet and 1 inch, just a little too long, so how can the fishing rod be mailed to James without breaking the rules? Ideally James would like the fishing rod to arrive in one piece!

Living above a star, I do not burn
Eleven friends and they do not turn
I can just be visited in a sequence, not once or repeatedly
PQRS are my initials
Can you tell my name accurately?