$1.$ There is a group of six persons $A, B, C, D, E$ and $F$ from a family. They are Professor,Manager,Lawyer,Jeweller,Doctor,and Engineer.
$2.$ The Doctor is the grandfather of $F$,who is a Professor.
$3.$ The Manager $D$ is married to $A$.
$4.$ $C$,the Jeweller,is married to the Lawyer.
$5.$ $B$ is the mother of $F$ and $E$.
$6.$ There are two married couples in the family.
How is $A$ related to $E$?

$(i)$ 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?

In a pile of $10$ books,there are $3$ History,$3$ Hindi,$2$ Mathematics,and $2$ English books. From the top,an English book is between a History and a Mathematics book,a History book is between a Mathematics and an English book,a Hindi book is between an English and a Mathematics book,a Mathematics book is between two Hindi books,and two Hindi books are between a Mathematics and a History book. Which subject book is at the $6^{th}$ position from the top?

$1.$ Six friends $A, B, C, D, E$ and $F$ are sitting in a closed circle facing the centre.
$2.$ $E$ is to the left of $D$.
$3.$ $C$ is between $A$ and $B$.
$4.$ $F$ is between $E$ and $A$.
Who is to the right of $C$?

$(i)$ Seven books are placed one above the other in a particular way.
$(ii)$ History book is placed exactly above Civics book.
$(iii)$ Geography book is fourth from the bottom and English book is fifth from the top.
$(iv)$ There are two books in between Civics and Economics books.
Out of the following,which three books are kept above English book? To answer this question,which of the other informations,if any,is required?

$(i)$ Eight persons $E, F, G, H, I, J, K$ and $L$ are seated around a square table,two on each side.
$(ii)$ There are three lady members and they are not seated next to each other.
$(iii)$ $J$ is between $L$ and $F$.
$(iv)$ $G$ is between $I$ and $F$.
$(v)$ $H$,a lady member,is second to the left of $J$.
$(vi)$ $F$,a male member,is seated opposite $E$,a lady member.
$(vii)$ There is a lady member between $F$ and $I$.
How many persons are seated between $K$ and $F$?