Given a Magic Square, Other Magic Squares May Be Obtained $\begin{array}{|l|l|l|}\hline 8 & 1 & 6 \\\hline 3 & 5 & 7 \\\hline 4 & 9 & 2 \\\hline\end{array}$

question 114

Multiple Choice

Given a magic square, other magic squares may be obtained by rotating, adding, or subtracting a constant value to or from each entry, multiplying each entry by a constant, or dividing each entry by a nonzero constant. Start with the given magic square and perform the indicated operation to find a new magic square.
-Multiply by 4 $\begin{array}{|l|l|l|}\hline 8 & 1 & 6 \\\hline 3 & 5 & 7 \\\hline 4 & 9 & 2 \\\hline\end{array}$

• A)
• \(\begin{array}{|c|c|c|}
• \hline 8 & 1 & 6 \\
• \hline 12 & 20 & 28 \\
• \hline 16 & 36 & 8 \\
• \hline
• \end{array}\)
• B)
• \(\begin{array}{|c|c|c|}
• \hline 32 & 4 & 24 \\
• \hline 3 & 5 & 7 \\
• \hline 16 & 36 & 8 \\
• \hline
• \end{array}\)
• C)
• \(\begin{array}{|c|c|c|}
• \hline 32 & 4 & 24 \\
• \hline 12 & 20 & 28 \\
• \hline 4 & 9 & 2 \\
• \hline
• \end{array}\)
• D)
• \(\begin{array}{|c|c|c|}
• \hline 32 & 4 & 24 \\
• \hline 12 & 20 & 28 \\
• \hline 16 & 36 & 8 \\
• \hline
• \end{array}\)

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