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 place six matchsticks in a manner that each of the matchsticks is in touch with the other five matchsticks?

What has a bottom at the top?

Speaking of rivers, a man calls his dog from the opposite side of the river. The dog crosses the river without getting wet, and without using a bridge or boat. How?

ENEMY = 2 * LINK
LINK + 2 = HELL

Then what will be TAXI + HELL? Select from the options below:
a) ROTTEN
b) DANGER
c) HEAVEN
4) MORTAL

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?

An infinite number of mathematicians are standing behind a bar. The first asks the barman for half a pint of beer, the second for a quarter pint, the third an eighth, and so on. How many pints of beer will the barman need to fulfill all mathematicians' wishes?

There is something which you can be arrested for attempting but not for successfully completing.

Find the next number in the series below.

6 18 270 72090 ?

My friends called me Iron59 because my parents are a chemist and a mathematician. What is my real name?