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.
Who is sitting in the centre?

$A$ truck,a car,and a motorcycle have equal kinetic energies. If equal stopping forces are applied and they stop after traveling a distance of $X$,$Y$,and $Z$ respectively,then:

Five men $A, B, C, D$ and $E$ read a newspaper. The one who reads first gives it to $C.$ The one who reads last had taken from $A. E$ was not the first or last to read. There were two readers between $B$ and $A.$ Who read the newspaper last?

$(i)$ $A, B, C, D, E, F$ and $G$ are sitting on a wall and all of them are facing east. $(ii)$ $C$ is on the immediate right of $D$. $(iii)$ $B$ is at an extreme end and has $E$ as his neighbour. $(iv)$ $G$ is between $E$ and $F$. $(v)$ $D$ is sitting third from the south end. Which of the following pairs of people are sitting at the extreme ends?

In a group of six women,there are four dancers,four vocal musicians,one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to play the violin. Shailaja and Thanuja are among the dancers,Jalaja,Vanaja,Shailaja and Thanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress,who among the following is both a dancer and a violinist?

$(i)$ $P, Q, R, S, T$ 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.
Which of the following combinations of subject and place of stay is not correct?