$(A)$ $P, Q, R, S$ and $T$ are sitting in a circle facing the centre.
$(B)$ $R$ is immediate left of $T.$
$(C)$ $P$ is between $S$ and $T.$
Who is to the immediate left of $R$?

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.
Where is $A$ sitting?

Six persons $A, B, C, D, E$ and $F$ are standing in a circle. $B$ is between $F$ and $C$; $A$ is between $E$ and $D$; $F$ is to the left of $D$. Who is between $A$ and $F$?

$(i)$ $P, Q, R, S, T$ and $U$ are six students pursuing their Master's degree in six different subjects $-$ English,History,Philosophy,Physics,Statistics and Mathematics.
$(ii)$ Two of them stay in a hostel,two stay as paying guests $(PG)$ and the remaining two stay at their home.
$(iii)$ $R$ does not stay as a $PG$ and studies Philosophy.
$(iv)$ The students studying Statistics and History do not stay as $PG$.
$(v)$ $T$ studies Mathematics and $S$ studies Physics.
$(vi)$ $U$ and $S$ stay in a hostel. $T$ stays as a $PG$ and $Q$ stays at home.
Who studies English?

$(i)$ Eleven students,$A, B, C, D, E, F, G, H, I, J$ and $K$ are sitting in the first row of the class facing the teacher.
$(ii)$ $D$,who is to the immediate left of $F$,is second to the right of $C$.
$(iii)$ $A$ is second to the right of $E$,who is at one of the ends.
$(iv)$ $J$ is the immediate neighbour of $A$ and $B$ and third to the left of $G$.
$(v)$ $H$ is to the immediate left of $D$ and third to the right of $I$.
In the above sitting arrangement,which of the following statements is superfluous?

There is a group of five persons $A, B, C, D$ and $E$. In the group,there are a Professor of Philosophy,a Professor of Psychology,and a Professor of Economics. $A$ and $D$ are ladies who have no specialization in any subject and are unmarried. No lady is a philosopher or an economist. There is a married couple in the group of which $E$ is the husband. $B$ is the brother of $C$ and is neither a psychologist nor an economist. Who is the wife of $E$?