I look at you, you look at me, I raise my right, you raise your left. What am I?

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?

What's a single-digit number with no value?

John was so frustrated to be the suspect of being a sleeper terrorist that he shoot himself right between the eyes with a revolver in his toilet. The revolver and the bullets were accurate. Minutes later John walks out of the toilet unharmed.
How can this be possible?

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

A man was found murdered on Sunday morning. His wife immediately called the police. The police questioned the wife and staff and got these alibis: The Wife said she was sleeping. The Cook was cooking breakfast. The Gardener was picking vegetables. The Maid was getting the mail. The Butler was cleaning the closet. The police instantly arrested the murderer. Who did it and how did they know?

The host of a game show offers the guest a choice of three doors. Behind one is an expensive car, but behind the other two are goats.
After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car).

Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.

You cannot hear the goats from behind the doors, or in any way know which door has the prize.

Should you stay, or switch, or doesn't it matter?

What brings you down but never up?

It's a protector.
It sits on a bridge.
One individual can see directly through it, while others wonder what it hides.

What is it?