UIUC Math Contest 2005

Concursul Universitatii Ilinois and Urbana Champaign
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Cezar Lupu
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UIUC Math Contest 2005

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Problema 1

Problema 2

Problema 3

Problema 4

Problema 5

Problema 6
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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