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

I am quite hot but become too cold if you remove the first two letters. What am I?

The dirtier I get, the whiter I look. Who am I?

How many times in a given day, minutes and hour clock comes in a straight line ?

Replace the (?) with the correct mathematical signs to make the expression equal to 59.

18 ? 12 ? 4 ? 5 = 59

There are two beautiful yet remote islands in the South Pacific. The Islanders born on one island always tell the truth, and the Islanders from the other island always lie.
You are on one of the islands and meet three Islanders. You ask the first which island they are from in the most appropriate Polynesian tongue, and he indicates that the other two Islanders are from the same island. You ask the second Islander the same question, and he also indicates that the other two Islanders are from the same island.
Can you guess what the third Islander will answer to the same question?

How can you write nineteen in a manner that if we take out one, it becomes twenty?

What does this below rebus puzzle mean?

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?

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?