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MathNet 2019-part-02 — 184 problems (EN–VI) Question 62

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 62

Two precocious Level 3 students took part in a university chess tournament. Each participant plays against every other participant exactly once. A win is worth 1 point, a draw is worth 0.5 point and a loss is worth 0 points. The sum of the scores of the two Level 3 students is 6.5. All the university students obtained the same score. How many university students took part in the competition?