Maths Olympiad Prep

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, 2024

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

Peter always tells the truth or always lies on alternate days. One day, he made exactly four of the following five statements. Which one did he not make?

(A) I lied yesterday and I will lie tomorrow. (B) I am telling the truth today and I will tell the truth tomorrow. (C) 20242024 is divisible by 1111. (D) Yesterday was Wednesday. (E) Tomorrow will be Saturday.

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.