Question

In the group $G=\{1,2,3,4,5,6\}$ under ${\otimes }_7$, then solution of $4{\otimes }_{7}x=5$ is

• A. $3$
• B. $2$
• C. $4$
• D. $5$

Answer 1

The correct option is A $3$

Given : $4{\otimes }_{7}x=5$

Now $4{\otimes }_{7}3=5$ as $12$ when divided by $7$ leaves remainder $5$

Applying the same concept we get:

$4{\otimes }_{7}2=1$

$4{\otimes }_{7}4=2$

$4{\otimes }_{7}5=6$ also