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UKMT Junior Mathematical Challenge, 2022

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

During a particularly troublesome lesson, the following conversation occurs: Pam: "I always tell the truth." Quentin: "Pam is lying." Roger: "Both Pam and Quentin are lying." Susan: "Everyone is lying." Terry: "Everyone is telling the truth." How many people are telling the truth?

(A) $0$ (B) $1$ (C) $2$ (D) $3$ (E) $4$

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