Question

Which number is divisible by $11$?

• A. $2112$
• B. $2971$
• C. $1020$
• D. $3412$

Answer 1

The correct option is A $2112$

We know the divisibility rule for $11$:
The difference of the sum of its digits at odd places and sum of its digits at even places is either $0$ or a number divisible by $11$.

$2112$:
Sum of the odd places $=2+1=3$
Sum of the even places $=1+2=3$
Difference $=$ Sum of the odd places $-$ Sum of the even places
Difference $=9-9=0$
So, $2112$ is divisible by $11$.

So, option A is correct.