28th Spanish Mathematical Olympiad Problems 1992

Posted in Posted by Unknown on Tuesday, October 5, 2010 at 1:41 AM
A1.  Find the smallest positive integer N which is a multiple of 83 and is such that N2 has exactly 63 positive divisors. A2.  Given two circles (neither inside the other) with different radii, a line L, and k > 0, show how to construct a line L' parallel to L so that L intersects the two circles in chords with total length k.
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