Evochkimov M.A.

A football match was played between a team of liars (who always lie) and a team of truth-lovers (who always tell the truth). After the match, each player was asked: "How many goals did you score?" Some of the participants answered "one", Misha said "two", some answered "three", and the rest said "five". Is Misha lying if the truth-lovers won with a score of $20: 17$?
Suppose Misha is a truth-teller. Then nine out of ten players on the team of truth-tellers scored an odd number of goals (one, three, or five), while Misha scored an even number. But then the team of truth-tellers would have scored an odd number of goals, which contradicts the condition. Therefore, our assumption is incorrect, and Misha is a liar.

## Answer

Lies.