Find out a multi-digit number that if multiplied by the number 9 or any of its multiplications products (i.e. 18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times.

Three people enter a room and have a green or blue hat placed on their heads. They cannot see their own hat but can see the other hats.
The colour of each hat is purely random. They could all be green, blue, or any combination of green and blue.
They need to guess their own hat colour by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $10,000 each, but if anyone guesses incorrectly they all get nothing.
What is the best strategy?

Find the next number in the series.
1 10 24 43 67 ?

Do You See It?

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

why?

You Throw The Outside, Cook The Inside
Eat The Outside, Throw The Inside.

What Is It?

James bond was pushed out of an aeroplane without any parachute.
He survived, How come?

Can you count the number of squares in the figure below?

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?

Railroad Crossing, look out for the cars. Can you spell that, without any R's ?