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.

Can you identify if it's a murder or a suicide ?

Intelligence Agency need to break the vault but the problem is that they are not able to break the vault.

On the vault, a text is written as:

31 11 33 33 43 45
21 25
31 24 11 31 51 41

To Break the code Intelligence Agency brings a mathematician named Joseph.
Minutes later he deciphers the code.

Whats the code?

What can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?

What does an Island and the letter T have in common?

When we see 2 but call 10?

A king sentenced a man to the death sentence for some crime he had committed. Known for his kindness, the king told the culprit that he had a choice to die in a way he decides.

The culprit was clever and said something that saved him from death. What method do you think he must have chosen for his death?

I know a country, If you remove the last alphabet of its name, it will become a part of your body. Do you name it?

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

What can you catch but never throw?