Maths Olympiad Prep

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Problem 330

Combinatorics Difficulty 2.0 Find the answer CEMC Gauss (Grade 7) · Canada · 1999

Five students named Fred, Gail, Henry, Iggy, and Joan are seated around a circular table in that order. To decide who goes first in a game, they play “countdown”. Henry starts by saying ‘34’, with Iggy saying ‘33’. If they continue to count down in their circular order, who will eventually say ‘1’?

(A) Fred (B) Gail (C) Henry (D) Iggy (E) Joan

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.