Question

If $3\oplus y\equiv 2\left(\mathrm{mod}6\right)$, then the value of $y$ is

• A. $2$
• B. $4$
• C. $5$
• D. $6$

Answer 1

Answer: (C)

$5$

Given, $3\oplus y\equiv 2\left(\mathrm{mod}6\right)$

$⟹$ $3\oplus y-2\equiv 0\left(\mathrm{mod}6\right)$

$⟹$ $6$ divides $(3\oplus y-2)$

$⟹$ $(3\oplus y-2)$$=6x$

$⟹$ $3+y-2=6$ for $x=1$

$⟹$ $y=5$

Hence, option C is correct.