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In the group $G=\{1,5,7,11\}$ under $\otimes_{12}$ the value of $7 \otimes_{12} 1 \hat{l}^{-1}$ is equal to
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The correct answer is:
5
Clearly, $11^{-1}=1 \overline{1}$
$\left[\because 11 \otimes_{12} 11=1\right]$
So, $7 \otimes_{12} 11^{-1}=7 \otimes_{12} 11=5$
$\left[\because 11 \otimes_{12} 11=1\right]$
So, $7 \otimes_{12} 11^{-1}=7 \otimes_{12} 11=5$
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