Maths Olympiad Prep

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Problem 43

Combinatorics Difficulty 1.0 Find the answer UKMT Junior Kangaroo · United Kingdom · 2021

Aimee says Bella is lying. Bella says Marc is lying. Marc says Bella is lying. Terry says Aimee is lying. How many of the four children are lying?

(A) 00 (B) 11 (C) 22 (D) 33 (E) 44

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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, ordering) added by this project. Solutions are the publisher's, linked not copied.