How can a man go eight days without sleep?

What am I?

Can you find out who is the kidnapper in below Picture and why, Explain ?

A mother is 21 years older than her child. In exactly 6 years from now, the mother will be exactly 5 times as old as the child.
Where's the father?

If,

6 / 7 = 2
3 / 9 = 7
8 / 2 = 6

Then

4 / 5 = ?

I have branches, but no fruit, trunk or leaves. What am I?

If an electric train is travelling south, then which way is the smoke going?

A detective visits his friend John just to discover that John's neighbour Dr Jacob was murdered. Dr Jacob, who is a mathematician wrote the murderer's name in a code word "Hcqtfz". There were five suspects
1. Ajit
2. Pankaj
3. Ganpat
4. Deenu
5. Hariya

The Detective was instantly able to find the murderer.
Can you?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

Identify the hidden meaning behind this picture?