$(A)$ $P, Q, R, S$ 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?

Five boys participated in a competition. Rohit was ranked lower than Sanjay. Vikas was ranked higher than Dinesh. Kamal's rank was between Rohit and Vikas. Who was ranked highest?

$1.$ There is a group of six persons $A, B, C, D, E$ and $F$ from a family. They are Professor,Manager,Lawyer,Jeweller,Doctor and Engineer.
$2.$ The Doctor is the grandfather of $F$ who is a Professor.
$3.$ The Manager $D$ is married to $A.$
$4.$ $C,$ the Jeweller is married to the Lawyer.
$5.$ $B$ is the mother of $F$ and $E.$
$6.$ There are two married couples in the family.
How many male members are there in the family?

In a group of six women,there are four table tennis players,four postgraduates in economics,one postgraduate in commerce,and three bank employees. Vimala and Kamala are among the bank employees,while Amala and Komala are unemployed. Komala and Nirmala are among the table tennis players. Amala,Kamala,Komala,and Nirmala are postgraduates in economics,of whom two are bank employees. If Shyamala is a postgraduate in commerce,who among the following is both a table tennis player and a bank employee?

Compare the knowledge of persons $X, Y, Z, A, B$ and $C$ in relation to each other.
$X$ knows more than $A$.
$Y$ knows as much as $B$.
$Z$ knows less than $C$.
$A$ knows more than $Y$.
The best knowledgeable person amongst all is:

Seven men $A, B, C, D, E, F$ and $G$ are standing in a queue in that order. Each one is wearing a cap of a different colour like violet,indigo,blue,green,yellow,orange and red. $D$ is able to see in front of him green and blue,but not violet. $E$ can see violet and yellow,but not red. $G$ can see caps of all colours other than orange. If $E$ is wearing an indigo coloured cap,then the colour of the cap worn by $F$ is