$P$ is the son of $Q$,while $Q$ and $R$ are sisters. $T$ is the mother of $R$. If $S$ is the son of $T$,which of the following statements is correct?

$A$ family consists of six members $P, Q, R, X, Y,$ and $Z$. $Q$ is the son of $R$ but $R$ is not the mother of $Q$. $P$ and $R$ are a married couple. $Y$ is the brother of $R$. $X$ is the daughter of $P$. $Z$ is the brother of $P$.
How many children does $P$ have?

Pointing to a photograph,Arun said,'She is the mother of my brother's son's wife's daughter.' How is Arun related to the lady?

$A$ is the father of $C$. But $C$ is not his son. $E$ is the daughter of $C$. $F$ is the spouse of $A$. $B$ is the brother of $C$. $D$ is the son of $B$. $G$ is the spouse of $B$. $H$ is the father of $G$. Who is the grandmother of $D$?

Pointing to a woman,Nirmal said,"She is the daughter of my wife's grandfather's only child". How is the woman related to Nirmal?

Rahul told Anand,'Yesterday $I$ defeated the only brother of the daughter of my grandmother.' Whom did Rahul defeat?