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VTMO 2021 — Grade 6 — cup Question 5

VTMO · VTMO 2021 — Grade 6 — cup

Question 5

Exactly one of $A , B , C , D$ stole gold. A says“$B$ is a liar”and“$C$ or $D$ stole it”; $B$“$C$ is a liar”and“$D$ or A stole it”; $C$“$D$ is a liar”and“$A$ or $B$ stole it”; $D$“$A$ is a liar”and“$B$ or $C$ stole it”. A truthful person has two true statements; a liar at least one false statement. How many of the eight statements are true?