If I went halfway to a town 60 km away at the speed of 30 km/hour, how fast do I have to go the rest of the way to have an average speed of 60 km/hour over the entire trip?
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Logic Loving Cannibals
A reckless explorer was captured by logic loving cannibals. He was brought before the chief and told, “You may now speak your last words. If your statement is false, we kill you slowly, and if your statement is true, we will kill you quickly.”
The man thought for a moment, then made his statement. Perplexed, the clever cannibals realized they could do nothing but let him go. What did the explorer tell them?
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Counting Squares
17 Horses
A farmer wanted to divide his 17 horses among his three sons. According to the farmer, the oldest son should get half of the horses,the middle son should get one third of the horses and the youngest son should get one ninth of the horses.
When their father died they were not able to divide the horses as the result was coming in fractions. As the sons were fighting on how to divide the horses a traveling mathematician came and heard their problem. He proposed a solution with which all the sons got their share in the property without harming any animal.
What was the advice given and how the group of horses were divided?
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