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# One question

A traveler came to a fork in the road at which he found a bystander. He knew that at the end of one of the forks there was a village inhabited by people who always told the truth. At the end of the other fork was a village inhabited by people who always told lies. He also knew that the bystander lived in one of the villages, but he didn’t know which. How could the traveler find which fork led to the village of the truthtellers by asking the bystander just one question?

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He should ask, Is this the road to the village in which you live? If the answer is no, then the road has to lead to the village of the liars since the answer would be a no whether the bystander were a truthteller or a liar. Conversely, if the answer is a yes, then the road would have to lead to the village of the truthtellers.

## What are the people taking?

A steady stream of people enter Mike’s place of business and remove its treasured belongings. The people do not pay for what they take. Mike allows them to take as much as they can carry as long as they keep their mouths shut. What are the people taking and which type...

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## How many kids?

Sometimes it helps to be bigger--especially when you're only four or five years old. The children were making candy apples for the Halloween party, eating as they worked. The bigger kids managed to gobble up seven apples apiece (and got stomachaches for their pains),...

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## Will it bounce?

A mathematical billiard table is in the form of a rectangle with integral sides, and just four pockets, one in each corner. A ball shoots out of one pocket at angles of 45° to the sides. Will it bounce round the table for ever, or end up in one of the other...

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## What was her solution?

This may be an old one, but many people seem not to have heard it. Samantha and Suzy were squabbling over a small cake. Their mother solved the question of which one should cut it, as well as the problem of how to make sure the pieces were even, in a very simple...

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