If you’ve got me, you want to share me; if you share me, you haven’t kept me. What am I?

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.

Which word does the below Plexor means ?

The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

Replace each alphabet with the number (1-9) to make the below equation correct.

AB * C = DE - F = GH / I

What is common among 11, 69, and 88?

A crime was committed at baker street. Ibrahim Dakota who was shot in the stomach was the main suspect. Sherlock questioned the suspect. The conversation started as:
Sherlock: What's your story, Ibrahim?
Ibrahim: I was walking around baker street and suddenly a man from the back shot me. I ran as fast as I could to save my life".
Sherlock: That is enough (and ask the police to arrest him).

Why does Sherlock think he is the murderer?

What number comes next in the series?

5 15 5 18 5 24 14 20 _

What goes up but never comes down?

There is a square piece of paper with a hole that is denoted by the circle on the top right side in the given picture. You have to cut the paper in a manner that it forms two and only two separate pieces of paper and then rearrange the pieces in a manner that the holes come in the centre of the paper.