a- If Kareena and Parineeti do not go to the shopping mall then it is not raining.
The inverse of given conditional statement. ( ~p→ ~q)
c- If it is raining then Kareena and Parineeti go to the shopping mall.
The converse of given conditional statement. (q→p)
d- If it is not raining then Kareena and Parineeti do not go to the shopping mall.
The Contra-positive of given conditional statement. (~q → ~p )
Given conditional statement and its contrapositive are always logically equivalent.
~q → ~p = q v ~p = p→q
Inverse and converse of a conditional statement are always logically equivalent.
~p→~q = p v ~q = q → p