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 kind of band never plays music?

You can see it everyday, But cannot touch it at will. What is it?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

Can you find out which number multiplied by itself will give the output as 12345678987654321?

Can you find a number that lies one third of the distance between 1/3 and 2/3?

I am the fastest animal but cannot climb the tree. What am I?

A word I know,
Six letters contain,
Subtract just one,
And twelve is what remains.

I’m tall when I’m young, and I’m short when I’m old. What am I?

In the given picture, in how many ways can you read the word "Tiger"?