Q104 / 180 · COMEDK 2012 · Mathematics

In the group $G=\{1,5,7,11\}$ under $\otimes_{12}$ the value of $7 \otimes_{12} 1 \hat{l}^{-1}$ is equal to

Correct answer
A
5
B
7
C
11
D
1

Solution

Clearly, $11^{-1}=1 \overline{1}$ $\left[\because 11 \otimes_{12} 11=1\right]$ So, $7 \otimes_{12} 11^{-1}=7 \otimes_{12} 11=5$

Hence, the correct answer is option: 'A'.

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