Question

The least number which must be added to $6709$ to make it exactly divisible by $9$ is

• A. $5$
• B. $4$
• C. $7$
• D. $2$

Answer 1

The correct option is A $5$

$\Rightarrow$ A number is divisible by 9 if the sum of its digits is divisible by 9.

$\Rightarrow$ $6+7+0+9=22$

$\Rightarrow$ Now, $22+5=27$, which is divisible by $9.$

$\therefore$ $5$ must be added to $6709.$

$\therefore$ $6709+5=6714$ is divisible by $9.$