MathDB
1999 Gauss (7) #21

Source:

July 6, 2011
Gauss

Problem Statement

A game is played on the board shown. In this game, a player can move three places in any direction (up, down, right or left) and then can move two places in a direction perpendicular to the first move. If a player starts at SS, which position on the board (P,Q,R,TP, Q, R, T, or WW) cannot be reached through any sequence of moves?
\begin{tabular}{|c|c|c|c|c|}\hline & & P & & \\ \hline & Q & & R &\\ \hline & & T & & \\ \hline S & & & & W\\ \hline\end{tabular}
<spanclass=latexbold>(A)</span> P<spanclass=latexbold>(B)</span> Q<spanclass=latexbold>(C)</span> R<spanclass=latexbold>(D)</span> T<spanclass=latexbold>(E)</span> W<span class='latex-bold'>(A)</span>\ P \qquad <span class='latex-bold'>(B)</span>\ Q \qquad <span class='latex-bold'>(C)</span>\ R \qquad <span class='latex-bold'>(D)</span>\ T \qquad <span class='latex-bold'>(E)</span>\ W