| 1. Knowing that 23 October 1948 was a Saturday, which is more frequent for New Year's Day, Sunday or Monday? |
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| 2. A convex polyhedron has no diagonals (every pair of vertices are connected by an edge). Prove that it is a tetrahedron. |
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| 3. Prove that among any n positive integers one can always find some (at least one) whose sum is divisible by n. |
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The original problems are in Hungarian. They are available on the KöMaL archive on the web.
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(C) John Scholes
jscholes@kalva.demon.co.uk
24 Mar 2003
Last corrected/updated 24 Mar 2003