Jirka, Vít, and Ota won all three medals at the competition. Not wanting to boast, they joked as follows:

Jirka: "Ota won the gold!"

Vít: "No, Ota won the silver!"

Ota: "I didn't win either the gold or the silver!"

The coach revealed that the gold medalist spoke the truth and the bronze medalist lied. Who won which medal?

(M. Volfová)
The task can be solved by considering who could have received the gold medal:

If Ota had received it, then his statement would not have been true, which contradicts the coach's information.

If Jiří had received the gold, then his statement would also not have been true, which again contradicts the coach's information.

Therefore, Vít must have received the gold. As the gold medalist, Vít speaks the truth, and from his statement, it follows that Ota won the silver. The bronze medal thus remains for Jiří, and his statement is indeed a lie.

Conclusion: Vít won the gold, Ota the silver, and Jiří the bronze medal.

Evaluation: 1 point for the correct conclusion; 5 points for precise reasoning.

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