Tuesday, September 28, 2010
5th Mexican Mathematical Olympiad Problems 1991
5th Mexican Mathematical Olympiad Problems 1991A1. Find the sum of all positive irreducible fractions less than 1 whose denominator is 1991. A2. n is palindromic (so it reads the same backwards as forwards, eg 15651) and n = 2 mod 3, n = 3 mod 4, n = 0 mod 5. Find the smallest such positive integer. Show that there are infinitely many such positive integers.
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