What is both possible and impossible at the same time?

What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?

Can you identify the famous TV character from the rebus below?

A clock loses 10 minutes each hour. If the clock is set correctly at noon, what time is it when it reads 3 PM?

How many bananas can you eat if your stomach is empty?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

You are an expert on paranormal activity and have been hired to locate a spirit haunting an old resort hotel. Strong signs indicate that the spirit lies behind one of four doors. The inscriptions on each door read as follows:

Door A: It's behind B or C
Door B: Its behind A or D
Door C: It's in here
Door D: It's not in here

Your psychic powers have told you three of the inscriptions are false, and one is true. Behind which door will you find the spirit?

It was a dark stormy night and a couple were in a car driving madly to a city. The car broke down and the husband had to go get help from someone who spoke his language. He was afraid to leave his wife alone in the car so he locked the car before leaving. When he came back, the car was in the same state as he had left it but his wife was dead, there was blood on the floor and there was a stranger in the car. What happened?

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

Which is heavier: a ton of bricks or a ton of feathers?