Question

Which of the following numbers is divisible by $11$?

• A. $3333333$
• B. $1111111$
• C. $22222222$
• D. none of these

Answer 1

Answer: (C)

$22222222$

If 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 $11$.

Hence, By Divisibility Test of $11$, Number is Divisible by $11$.

C. $22222222$

Sum of odd place digits

$=2+2+2+2$

$=8$

Sum of even place digits

$=2+2+2+2$

$=8$

difference $=0$

Hence it is divisible by $11$.