Question

The three digit number $3x1$ is divisible by $9$. Find the value of $x$.

• A. $1$
• B. $2$
• C. $5$
• D. $6$

Answer 1

Answer: (A)

$1$

Since, $3x1$ is divisible by $9$, the sum of its digits i.e. $3+x+1$ should be divisible by 9

Thus, $(4+x)$ should be divisible by $9$
This is possible when $4+x=9$ or $18$
Since $x$ is a single digit number,
$\Rightarrow 4+x=9$
$\Rightarrow x=5$