Who can jump higher than a Mountain?

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.

I am a word that begins with the letter “i.” If you add the letter “a” to me, I become a new word with a different meaning, but that sounds exactly the same. What word am I?

Can you name four days which start with the letter 'T'?

Which five letter word can be added at the end of below word to form a
valid word?

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If a zookeeper had 100 pairs of animals in her zoo, and two pairs of babies are born for each one of the original animals, then (sadly) 23 animals don’t survive, how many animals do you have left in total?

What English word has three consecutive double letters?

Complete the series by replacing "?" with the correct number.

ST ND RD TH '?'

Using Only Five 5's and any mathematical operator make sum as 37

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?