Question

What is the value of $x$ such that $221x$ is divisible by $6$?

• A. $4$
• B. $3$
• C. $1$
• D. $5$

Answer 1

Answer: (A)

$4$

We know the divisibility rule for $6$:
If the number is exactly divisible by both $2$ and $3$, then the given number is also divisible by $6$.

For a number to be divisible $2$, it should end with an even digit.
Here, $2+2+1=5$
So, $4$ is added to $5+4=9$
Hence, $2214$ is divisible by $6$ because the last digit ends with even no. and the number is multiple of $3$.
So, option A is correct.