Friday, November 12, 2010
6th All Soviet Union Mathematical Olympiad 1972 Problems & Solutions
1. ABCD is a rectangle. M is the midpoint of AD and N is the midpoint of BC. P is a point on the ray CD on the opposite side of D to C. The ray PM intersects AC at Q. Show that MN bisects the angle PNQ. 2. Given 50 segments on a line show that you can always find either 8 segments which are disjoint or 8 segments with a common point. 3. Find the largest integer
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