More Numbers

Puzzler time. This is all about numbers.

Here we go.

If you take any 3 digit number, and repeat it...

So, take the number 247. Then repeat it, so 247,247.

Then you take that big number, 247,247 and divide it by 7.

Once you divide it by 7, you'll have a quotient. If you have a remainder, put it off to the side.

Then you take that quotient and divide by 11.

You get another quotient, put the remainder off to the side.

Then you take that quotient and divide by 13.

Okay, now you take that final quotient that you got and add the remainders that you set aside.

And when you do that, you will end up with the original 3 digit number that you started with.

This works with any 3 digit number.

And the puzzler question is, why does this work?

Good luck.

Answer the Puzzler »

Remember last week's puzzler?

One Horse Town

Puzzler time. It is time for the new/old puzzler. Here it is.

Imagine the scene.

A fellow is driving across the desert in Nevada, when all of a sudden, he finds himself in urgent need of a haircut.

He says, "I need a haircut now. I'll never make it to the next city."

So he finds himself in desperate need of a haircut. He takes the next exit, which is exit 411 to a little one horse town, named One Horse, Nevada.

And as luck would have it, in One Horse, Nevada, there are two barber shops. So he has to decide which one to go to for his haircut.

The guy goes to barber shop number one and looks in the window. There are no customers in the barber shop. The barber shop is kind of messy, and even the barber, who was the only one in the place, is kind of messy too. He's unshaven. He's got a lousy shirt on. There's hair on the floor, and even his haircut is lousy.

So the guy says to himself, "Maybe I should check out the other barber shop in One Horse."

So he walks on down the street to find the second shop. He arrives at barber shop number two and looks in the window. It looks terrific. It's nice and neat and clean. The mirrors are clean and shiny. There's no hair on the floor. Even the barber himself looks neat and well groomed, and he has a great haircut.

So the puzzler question, very simply, is this.

Based on the information that you have, which barber shop do you think he goes to and why?