olymmath

KöMaL 2006 K67

    In a television quiz, 10 people are asked questions. They all answer simultaneously by pressing the button assigned to the answer they think correct. Those who answer correctly get as many points each as the number of incorrect answers. After the fifth question answered, the players had 116 points altogether. 32 of these were collected by Géza. Show that Géza answered all the five questions correctly.

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