Given a Magic Square, Other Magic Squares May Be Obtained $\begin{array}{|c|c|c|}\hline 12 & 14 & 4 \\\hline 2 & 10 & 18 \\\hline 16 & 6 & 8 \\\hline\end{array}$

question 84

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.
-Rotate 90° clockwise
$\begin{array}{|c|c|c|}\hline 12 & 14 & 4 \\\hline 2 & 10 & 18 \\\hline 16 & 6 & 8 \\\hline\end{array}$

• A)
• \(\begin{array}{|c|c|c|}
• \hline 4 & 18 & 8 \\
• \hline 14 & 10 & 6 \\
• \hline 12 & 2 & 16 \\
• \hline
• \end{array}\)
• B)
• \(\begin{array}{|c|c|c|}
• \hline 8 & 6 & 16 \\
• \hline 18 & 10 & 2 \\
• \hline 4 & 14 & 12 \\
• \hline
• \end{array}\)
• C)
• \(\begin{array}{|c|c|c|}
• \hline 12 & 14 & 4 \\
• \hline 2 & 10 & 18 \\
• \hline 16 & 6 & 8 \\
• \hline
• \end{array}\)
• D)
• \(\begin{array}{|c|c|c|}
• \hline 16 & 2 & 12 \\
• \hline 6 & 10 & 14 \\
• \hline 8 & 18 & 4 \\
• \hline
• \end{array}\)

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Definitions:

Correlation Coefficient

A statistical measure that quantifies the degree to which two variables are related or move together.

Grammaticality

concerns the conformity to the rules of grammar of a particular language.

Age

The length of time that a person or entity has existed from its birth or creation to a given point.

Whorfian Hypothesis

The theory that the structure of a language determines or greatly influences the modes of thought and behavioral characteristic of the culture in which it is spoken.