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

All the six members of a family $A, B, C, D, E$ and $F$ are travelling together. $B$ is the son of $C$ but $C$ is not the mother of $B$. $A$ and $C$ are a married couple. $E$ is the brother of $C$. $D$ is the daughter of $A$. $F$ is the brother of $B$. Who is the mother of $B$?

$A$ 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 lady,a girl said,'She is the daughter-in-law of the grandmother of my father's only son'. How is the lady related to the girl?

Given that $A + B$ means $A$ is the father of $B$,$A - B$ means $A$ is the wife of $B$,$A \times B$ means $A$ is the brother of $B$,and $A \div B$ means $A$ is the daughter of $B$. If $P \div R + Q$,which of the following is true?

$A + B$ 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 $P + Q \times R$,which of the following is true?