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?

You are presented with three boxes. One of them has a red ball inside and the other two have a black ball inside each of them. You are asked to pick up the one with red ball and you pick one. Now, one of the other boxes is opened and it is found to have a black ball.

You are presented with a chance to change your box with the one that is left closed. Will you change your box? Why or why not?

What jumps when it walks and sits when it stands?

What number comes next in this sequence:
7 8 5 5 3 4 4 _

One night, a woman receives a call from the police. They tell her that her husband was murdered and that she should come to the crime scene as soon as possible. The woman drops the phone, shocked, and drives 20 minutes to the crime scene. As soon as she reaches the crime scene, the police arrest her and she is convicted of murder. How do the police know she committed the crime?

An evil man kidnapped someone and made them take one of two pills. One was harmless, but the other was poisonous. Whichever pill the victim took, the kidnapper took the other one. The victim took their pill with water and died. The kidnapper survived. How did the kidnapper get the harmless pill?

Prove that twice of ten is the same as twice of eleven.

Identify Me

Hint1: I am a god
Hint 2: I am a planet
Hint 3: measurer of heat

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?

Sherlock Holmes was challenged to make a pre-drawn line smaller without erasing it. He did it in fractions of seconds. How?