Pointing to a photograph of Hari,Vijay said,"The father of his sister is the husband of my wife's mother". How is Vijay related to Hari?

$A$ family consists of six members $P, Q, R, S, T$ and $U$. There are two married couples. $Q$ is a doctor and the father of $T$. $U$ is the grandfather of $R$ and is a contractor. $S$ is the grandmother of $T$ and is a housewife. There is one doctor,one contractor,one nurse,one housewife,and two students in the family. Who is the husband of $P$?

If $P \times Q$ means $P$ is wife of $Q$,$P + Q$ means $P$ is father of $Q$,and $P \div Q$ means $P$ is sister of $Q$,then in $G \times H + R \div D$,how is $G$ related to $D$?

$A + B$ means $A$ is the daughter of $B$. $A - B$ means $A$ is the husband of $B$. $A \times B$ means $A$ is the brother of $B$.
If $P + Q - R$,which of the following is true?

$A$ family consists of six members $P, Q, R, S, T,$ and $U.$ There are two married couples. $Q$ is a doctor and the father of $T.$ $U$ is the grandfather of $R$ and is a contractor. $S$ is the grandmother of $T$ and is a housewife. There is one doctor,one contractor,one nurse,one housewife,and two students in the family. Who is the sister of $T?$

If $(i)$ $M$ is brother of $N$; $(ii)$ $B$ is brother of $N$; and $(iii)$ $M$ is brother of $D$,then which of the following statements is definitely true?