MathDB
1999 Gauss (7) #12

Source:

July 6, 2011
Gaussmodular arithmetic

Problem Statement

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’?
<spanclass=latexbold>(A)</span> Fred<spanclass=latexbold>(B)</span> Gail<spanclass=latexbold>(C)</span> Henry<spanclass=latexbold>(D)</span> Iggy<spanclass=latexbold>(E)</span> Joan<span class='latex-bold'>(A)</span>\ \text{Fred} \qquad <span class='latex-bold'>(B)</span>\ \text{Gail} \qquad <span class='latex-bold'>(C)</span>\ \text{Henry} \qquad <span class='latex-bold'>(D)</span>\ \text{Iggy} \qquad <span class='latex-bold'>(E)</span>\ \text{Joan}