Question

If the number $93215x2$ is completely divisible by 11 , then x = ?

• A. 3
• B. 2
• C. 1
• D. 5

Answer 1

The correct option is A 3

Given, the number $\overline{93215x2}$ is divisible by $11$.

A number is divisible by $11$ if and only if the difference between the sum of odd and even place digits is a multiple of $11$.

i.e., Sum of even placed digits – Sum of odd placed digits $=0,11,22\dots$

$(x+1+3)–(9+2+5+2)=0,11,22\dots$

$x-14$ is a multiple of $11$

$x-14=11$

Therefore, $x=3$

Hence, the possible value of $x$ is $3$.