Question

What is the value of $x$ such that $7x368$ is divisible by $11$?

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is A $1$

We know the divisibility rule for $11$:
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 $11$.

$71368$:
Sum of the odd places $=7+3+8=18$
Sum of the even places $=1+6=7$
Difference $=$ Sum of the odd places $-$ Sum of the even places
Difference $=18-7=11$
So, $71368$ is divisible by $11$
Hence, the value of $x$ is $1$

So, option A is correct.