Pointing to a lady,Rajan said,"She is the daughter of the woman who is the mother of the husband of my mother." Who is the lady to Rajan?

$A$ woman introduces a man as the son of the brother of her mother. How is the man related to the woman?

Introducing a man to her husband,a woman said,"his brother's father is the only son of my grandfather." How is the woman related to this man?

$A$ is the father of $C$,and $D$ is the son of $B$. $E$ is the brother of $A$. If $C$ is the sister of $D$,how is $B$ related to $E$?

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 $D$?

There is a family of six persons $A, B, C, D, E$ and $F$. They are Lawyer,Doctor,Teacher,Salesman,Engineer and Accountant. There are two married couples in the family. $D$,the Salesman,is married to the Lady Teacher. The Doctor is married to the Lawyer. $F$,the Accountant,is the son of $B$ and brother of $E$. $C$,the Lawyer,is the daughter-in-law of $A$. $E$ is the unmarried Engineer. $A$ is the grandmother of $F$. What is the profession of $A$?