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UKMT Pink Kangaroo, 2026

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Five pupils took part in a one-mile run. One of them didn't finish and the others finished at different times. When asked about the race later, they said: Priya: "I was second or third." Qusay: "I didn't make it to the finish line." Rathursan: "I got to the finish line and wasn't fourth." Sara: "I was fourth." Tanisha: "I was first." One of the pupils lied and all the others told the truth. Which of the pupils lied?

(A) Priya (B) Qusay (C) Rathursan (D) Sara (E) Tanisha

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