When monkey rotate the gear, which mark will be hit 1 or 2 ?

You have an empty wine bottle with a cork that has been secured at the top in a normal way. There is a metal ring inside the bottle that is suspended by a string.

How can you make the metal ring drop to the bottom if you are not allowed to touch anything - not the bottle, not the cork, not the thread and not the ring?

Vin Diesel is pulling a theft and has planned to run away with all the cash kept in the safe. But the only way to open the safe is the 13 character password. He has a set of five clues given to him by a trustworthy source.

Exactly two of the below statements are false.
The password is contained within this sentence.
The password is not in this hint.
The password is within only one of these statements.
At least one of the above statements is a lie.

What jumps when it walks and sits when it stands?

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

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

A finger goes in me. You fiddle with me when you're bored. The best man always has me first. What am I?

A man is found unconscious in front of a store at two in the morning. His head is bleeding and there’s a brick laying next to him. When the police arrive, they carry the man to jail. Why did they arrest him?

Solve the equation in the image by looking at the pattern closely.

Many have heard it, but nobody has ever seen it, and it will not speak back until spoken to. What is it?