What has hands, but can’t clap?

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 type of tree can I carry in my hand?

They do not possess flesh or feathers or scales or bone
But still, they are blessed with fingers and thumbs of their own.

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

What does this Rebus Picture means ?

Can it be possible to build a house that has all its four walls facing towards the South?

Can you divide the below-given shape into four equal and identical pieces?

A sea diver is a real show-off. He showed everyone that he can hold his breath underwater for 15 minutes.

I went to the diver and told him that I can be underwater for double the time i.e 30 minutes.
He responded that he will give me 100$ if I would be able to do it. I won 100$.

What did I do?

Look at me. I can bring a smile to your face, A tear to your eye, Or even a thought to your mind. But, I can't be seen. What am I?