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VTMO 2026 - Grade 6 - Final - SET 2 - Self-study Question 5

VTMO · VTMO 2026 - Grade 6 - Final - SET 2 - Self-study

Question 5

Two football teams, each with 10 players, play a match. Everyone on one team always tells the truth, and everyone on the other always lies. Afterwards each player is asked, “How many goals did you score?” Some answer “one”, Châu answers “two”, some answer “three”, and the rest answer “five”. Is Châu a truth-teller or a liar, given that the truth-telling team wins 20–17?

Model clarification: each team's score is the sum of the goals scored by its own players.

Question illustration