Question

If $x+2\equiv 4\left(\mathrm{mod}5\right)$, then the value of $x$ is

• A. $7$
• B. $5$
• C. $4$
• D. $3$

Answer 1

Answer: (A)

$7$

Given : $x+2\equiv 4\left(\mathrm{mod}5\right)$

$⟹$ $x+2-4\equiv 0\left(\mathrm{mod}5\right)$

$⟹$ $5$ divides $x+2-4$

$⟹$ $x+2-4=5y$

$⟹$ $x-2=5$ .......... for $y=1$

$⟹$ $x=7$

$\therefore$ value of $x$ is $7$.