A big circle

Thirty fans hire a bus to attend a football game. On the way to the stadium they realize that exactly half of them are fans of one team, and the other half are fans of the other team. With still some way to go before reaching the stadium, the bus develops mechanical problems and the driver announces to his passengers that the only way to continue the journey is for half of them to get out and walk. There is a huge fight that doesn’t stop until the driver speaks to them again and suggests a way of selecting the passengers who are to get off the bus.
“All of you,” he said, “get into a big circle. When you are ready, beginning at this spot, I’ll count nine people clockwise. The ninth person leaves the circle and continues on foot. Then I’ll count another nine starting from where I stopped, and the ninth person leaves the circle and continues on foot. And so on until fifteen people have left the circle.”
Suppose that you are one of the fans. How should you arrange all the other fans of your team so that none of them will have to walk?

Click here for the solution

If the two teams are A and B and you are a supporter of team A and you do not want any of your fellow supporters to end up walking to the stadium organize them in a circle starting at the point where the driver starts and reading clockwise as follows; A, A, A, A, B, B, B, B, B, A, A, B, A, A, A, B, A, B, B, A, A, B, B, B, A, B, B, A, A, B.

more riddles

How does the man escape?

A man is trapped in a room. The room has only two possible exits: two doors. Through the first door there is a room constructed from magnifying glass. The blazing hot sun instantly fries anything or anyone that enters. Through the second door there is a fire-breathing...

read more

Five-digit number

What is the five-digit number, no zeroes, in which the second digit is three times the first, the third is one more than the second, the fourth is four times the first, and the last is one-half more than the second? The number is: 26789 more...

read more

The peanuts and the monkey

Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night, one of the men got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut...

read more

How many children does Mr. Smith have?

Mr. Smith has 4 daughters. Each of his daughters has a brother. How many children does Mr. Smith have? He has 5 children, all of the daughters have the same 1 brother. more riddlesDonec rutrum congue leo eget malesuada....

read more