You have 12 identical-looking balls. One of these balls has a different weight from all the others. You also have a two-pan balance for comparing weights. Using the balance in the smallest number of times possible, determine which ball has the unique weight, and also determine whether it is heavier or lighter than the others.
A group of prisoners are trapped in a forcefield. These prisoners are perfectly brave, meaning that they would attempt an escape on any positive probability of success. The prisoners are monitored by a guard who has only one bullet in his gun, but who also has perfect marksmanship skills (he never misses). A maintenance technician needs to tune up the forcefield generator, and so for one second, the forcefield is released. How can the guard still keep all the prisoners detained?
A farmer challenges an engineer, a physicist, and a mathematician to fence off the largest amount of area using the least amount of fence.
The engineer made his fence in a circle and said it was the most efficient.
The physicist made a long line and said that the length was infinite. Then he said that fencing half of the Earth was the best.
The mathematician laughed at the others and with his design, beat the others. What did he do?
Provide your answer in the comments section!
The mathematician made a small fence around himself and declared himself to be on the outside.
Between Sing-Sing and Tarry-Town
This started as a way to express the admins' love of calculus and math in general. As result, this has turned into a gathering place for math-based humor and weekly challenges.
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