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MathNet 2022-part-03 — 197 problems (EN–VI) Question 164

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 164

Petra, Quinten, Rakhi, Salome, and Teun organise a badminton tournament consisting of five rounds. In each round, two players play against each other and a third player is the referee. The other two players rest during the round. Everyone plays twice and is the referee once. Nobody plays two matches in a row and the referee of a match always rests in the next round.

Salome and Teun face each other in the first round. In the third round, Rakhi plays against Salome, while Quinten is resting. Who is the referee of the fifth round?
A) Petra B) Quinten C) Rakhi D) Salome E) Teun