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

Four young men $Raj$,$Prem$,$Ved$,and $Ashok$ are friends with four girls $Sushma$,$Kusum$,$Vimla$,and $Poonam$. $Sushma$ and $Vimla$ are friends. $Ved$'s girlfriend does not like $Sushma$ and $Vimla$. $Kusum$ does not care for $Ved$. $Prem$'s girlfriend is friendly with $Sushma$. $Sushma$ does not like $Raj$. Who is $Raj$'s girlfriend?

In the Olympic Games,the flags of six nations were flown on the masts in the following way:
The flag of America was to the left of the Indian tricolour and to the right of the flag of France. The flag of Australia was on the right of the Indian flag but was to the left of the flag of Japan,which was to the left of the flag of China.
Find the two flags which are in the centre.

In a cricket season,India defeated Australia twice. West Indies defeated India twice,Australia defeated West Indies twice,India defeated New Zealand twice and West Indies defeated New Zealand twice. Which country has lost the most number of times?

Five friends $A, B, C, D$ and $E$ are sitting on a bench.
$1.$ $A$ is sitting next to $B$.
$2.$ $C$ is sitting next to $D$.
$3.$ $D$ is not sitting with $E$.
$4.$ $E$ is on the left end of the bench.
$5.$ $C$ is on the second position from the right.
$6.$ $A$ is on the right side of $B$ and to the right side of $E$.
$7.$ $A$ and $C$ are sitting together.
$C$ is sitting between:

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?