In a group of $5$ persons $A, B, C, D,$ and $E,$ there is a professor,a businessman,and an artist. $A$ and $D$ are ladies who are unmarried and do not work. Of the married couple in the group,$E$ is the husband. $B$ is the brother of $A$ and is neither a businessman nor an artist. $E$'s wife is an artist. Who is the artist?

$(i)$ 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?

$B$ is twice as old as $A$ but twice younger than $F$. $C$ is half the age of $A$ but twice the age of $D$. Which two persons form the pair of oldest and youngest?

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 Shailja do not know how to play on the violin. Shailja and Tanuja are among the dancers. Jalaja,Vanaja,Shailja and Tanuja 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?

$(i)$ Six friends $A, B, C, D, E$ and $F$ are sitting in a closed circle facing the centre.
$(ii)$ $E$ is to the left of $D$.
$(iii)$ $C$ is between $A$ and $B$.
$(iv)$ $F$ is between $E$ and $A$.
Who is to the right of $C$?

There are four friends $A, B, C, D$. One of them is a cricketer and studies Chemistry and Biology. $A$ and $B$ play football. Both football players study Maths. $D$ is a boxer. One football player also studies Physics. The boxer studies Maths and Accounts. All the friends study two subjects each and play one game each.
Who studies Physics?