Answer
Contrapositive: $\forall$ integers d, if $d \neq 3$, then 6/d is not an integer.
Converse: $\forall$ integers d, if d=3, then 6/d is an integer.
Inverse: $\forall$ integers d, if 6/d is not an integer, then $d \neq 3$.
The original statement and the contrapositive are logically equivalent and they are both false.
Counterexample: Let x=1. Then 6/1 = 6 which is an integer.
The converse and inverse are contrapositives of each other, so they are logically equivalent to each other. Both are true.
Work Step by Step
A statement of the form: $\forall x \in D$, if P(x) then Q(x),
has as its contrapositive statement: $\forall x \in D$, if ~Q(x) then ~P(x),
as its converse statement: $\forall x \in D$, if Q(x) then P(x),
and as its inverse statement: $\forall x \in D$, if ~P(x) then ~Q(x).
