$A, B, C, D, E$ and $F$,not necessarily in that order,are sitting on six chairs regularly placed around a round table. It is observed that:
$1$. $A$ is between $D$ and $F$.
$2$. $C$ is opposite $D$.
$3$. $D$ and $E$ are not on neighbouring chairs.
Which of the following pairs must be sitting on neighbouring chairs?

$(i)$ 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 $F$?

$A, B, C, D,$ and $E$ are five persons standing in a bus queue. $A$ is a teacher standing to the right of $D$,who is an advocate. $B$ is a scientist and is standing to the left of $E$,who is an electrician. There are two persons between $B$ and $A$. $C$,who is a banker,stands to the right of $A$. Who is in the middle?

$1.$ 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.
What is the profession of $A$?

How many days of gap are there between Science and Philosophy?

There are six cities $A, B, C, D, E$ and $F$. $A$ is not a hill station. $B$ and $E$ are not historical places. $D$ is not an industrial city. $A$ and $D$ are not historical cities. $A$ and $B$ are not alike. Which two cities are hill stations?