In a school,there were five teachers. $A$ and $B$ were teaching Hindi and English. $C$ and $B$ were teaching English and Geography. $D$ and $A$ were teaching Mathematics and Hindi. $E$ and $B$ were teaching History and French. Which of the following pairs was teaching both Geography and Hindi?

$Mr. A, Miss B, Mr. C$ and $Miss D$ are sitting around a table and discussing their trades.
$(1)$ $Mr. A$ sits opposite to the cook.
$(2)$ $Miss B$ sits to the right of the barber.
$(3)$ The washerman is on the left of the tailor.
$(4)$ $Miss D$ sits opposite $Mr. C$.
What are the trades of $A$ and $B$?

$(i)$ Kailash,Govind and Harinder are intelligent.
$(ii)$ Kailash,Rajesh and Jitendra are hard-working.
$(iii)$ Rajesh,Harinder and Jitendra are honest.
$(iv)$ Kailash,Govind and Jitendra are ambitious.
Which of the following persons is neither hard-working nor ambitious?

Madhu and Shobha are good in Dramatics and Computer Science. Anjali and Madhu are good in Computer Science and Physics. Anjali,Poonam and Nisha are good in Physics and History. Nisha and Anjali are good in Physics and Mathematics. Poonam and Shobha are good in History and Dramatics. Who is good in History,Physics,Computer Science and Mathematics?

Six persons $A, B, C, D, E$ and $F$ are sitting in two rows,three in each. $E$ is not at the end of any row.
$D$ is second to the left of $F$.
$C$,the neighbor of $E$,is sitting diagonally opposite to $D$.
$B$ is the neighbor of $F$.
Which of the following are sitting diagonally opposite to each other?

$(i)$ 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 $A$.
Which of the above given statements is superfluous?