$(A)$ $P, Q, R, S$ and $T$ are sitting in a circle facing the centre.
$(B)$ $R$ is immediate left of $T.$
$(C)$ $P$ is between $S$ and $T.$
To find the answer to the above question,which of the following statements can be dispensed with?

In a pile of $10$ books,there are $3$ History,$3$ Hindi,$2$ Mathematics,and $2$ English books. From the top,an English book is between a History and a Mathematics book,a History book is between a Mathematics and an English book,a Hindi book is between an English and a Mathematics book,a Mathematics book is between two Hindi books,and two Hindi books are between a Mathematics and a History book. Which subject book is at the $6^{th}$ position from the top?

There are six persons $A, B, C, D, E,$ and $F$ in a school. Each of the teachers teaches two subjects: one compulsory subject and the other optional subject. $D's$ optional subject was History,while three others have it as a compulsory subject. $E$ and $F$ have Physics as one of their subjects. $F's$ compulsory subject is Mathematics,which is an optional subject for both $C$ and $E.$ History and English are $A's$ subjects,but in terms of compulsory and optional subjects,they are the reverse of those of $D's.$ Chemistry is an optional subject for only one of them. The only female teacher in the school has English as her compulsory subject. Which of the following has the same compulsory and optional subjects as those of $F$? (Note: The question asks for the person with the same subject distribution as $F$.)

There are six cities $A, B, C, D, E$ and $F$. $A$ is not a hill station. $B$ and $E$ are not historical places. $D$ is not an industrial city. $A$ and $D$ are not historical cities. $A$ and $B$ are not alike. Which two cities are hill stations?

$A, B, C, D, E, F,$ and $G$ are members of a family consisting of $4$ adults and $3$ children,two of whom,$F$ and $G$,are girls. $A$ and $D$ are brothers and $A$ is a doctor. $E$ is an engineer married to one of the brothers and has two children. $B$ is married to $D$ and $G$ is their child. Who is $C$?

Prashant Arora has three children $-$ Sangeeta,Vimal,and Ashish. Ashish married Monika,the eldest daughter of Mr. and Mrs. Roy. The Roys married their youngest daughter to the eldest son of Mr. and Mrs. Sharma,and they had two children named Amit and Shashi. The Roys have two more children,Roshan and Vandana,both elder to Veena. Sameer and Ajay are sons of Ashish and Monika. Rashmi is the daughter of Amit. How is Sameer related to the father of Monika?