1. Knowing that 23 October 1948 was a Saturday, which is more frequent for New Year's Day, Sunday or Monday?
2. A convex polyhedron has no diagonals (every pair of vertices are connected by an edge). Prove that it is a tetrahedron.
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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Eötvös Competition Problems
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