Question

The least number which must be subtracted from $6708$ to make it exactly divisible by $9$ is

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (C)

If a number is divisible by $9$ then it is divisible by the sum of the digits of the number is divisible by $9$.

In $6708$

$6+0+7+8=21$

$\Rightarrow 21-1=20$ not divisible by $9$.

$21-2=19$ not divisible by $9$

$21-3=18=9\times 2$ divisible by $9$.

As no to be subtracted should make it divisible by $9$, sum of digits can be $18$.

$\therefore 3$ should be subtracted.

Hence, Option B is correct.