We consider the last two-digit to see if a number is divisible by $4$. We consider the last one digit to see if a number is divisible by $5$. If $$\overline{\textasciitilde5A2A\textasciitilde}$$ is divisible by $5$, the ones digit can only be $5$ or $0$. When the ones digit is $0$, the number that is formed by the last two digits, $20$, is divisible by $4$. 
If a four-digit number $$5A2A$$ can be divisible by both $$4 $$ and $$5$$, the digit that $$A$$ represents is~\uline{~~~~~~~~~~}~. 

1) $$0$$ 
2) $$1$$ 
3) $$2$$ 
4) $$5$$ 
5) $$8$$ 