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?

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.
What is the position of $D$?

If $(i)$ $P$ is taller than $Q$,$(ii)$ $R$ is shorter than $P$,$(iii)$ $S$ is taller than $T$ but shorter than $Q$,then who among them is the tallest?

There are $5$ bus stops $A, B, C, D,$ and $E$ at equal intervals. $C$ is not the middle stop. $A$ and $E$ are not terminal stops. $C$ comes twice as many stops before $D$ in upward journey as $B$ comes after $A$. $D$ is the first stop in the downward journey. Give the correct sequence of the stops in the downward journey.

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

Consider the following:
$1.$ Saxena,David,Jain,and Kumar were District Collectors at places $P, Q, R,$ and $S$ respectively in $1970$.
$2.$ In $1972$,they were transferred; Saxena and Jain interchanged places. Kumar and David also interchanged places.
$3.$ One year later in $1973$,they were again transferred such that David and Jain interchanged places,and Saxena and Kumar were also interchanged.
What should be the next round of transfers so that all the four persons could have been posted at all the four places?