Proof Writing & Problem Solving · Superchallenge problem

For a positive integer $n$ consider five statements: $A$: $12 \mid n$. $B$: $4 \mid n$. $C$: $6 \mid n$. $D$: $36 \mid n^2$. $E$: $8 \mid n^2$. Of the $20$ implications "if $X$ then $Y$" with $X \ne Y$ chosen from $A, B, C, D, E$, how many are true for every positive integer $n$?