$(i)$ 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 $C$?

Eight friends $A, B, C, D, E, F, G$ and $H$ are sitting in a circle facing the centre. $B$ is sitting between $G$ and $D$. $H$ is third to the left of $B$ and second to the right of $A$. $C$ is sitting between $A$ and $G$ and $B$ and $E$ are not sitting opposite to each other.
Which of the following statements is not correct?

$A$ is elder to $B$ while $C$ and $D$ are elder to $E$ who lies between $A$ and $C$. If $C$ is elder to $B$,which one of the following statements is necessarily true?

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 city is a hill station and an industrial centre but not a historical place?

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?

$(i)$ Five friends $P, Q, R, S$ and $T$ travelled to five different cities: Chennai,Calcutta,Delhi,Bangalore,and Hyderabad by five different modes of transport: Bus,Train,Aeroplane,Car,and Boat from Mumbai.
$(ii)$ The person who travelled to Delhi did not travel by boat.
$(iii)$ $R$ went to Bangalore by car and $Q$ went to Calcutta by aeroplane.
$(iv)$ $S$ travelled by boat,whereas $T$ travelled by train.
$(v)$ Mumbai is not connected by bus to Delhi and Chennai.
The person travelling to Delhi went by which of the following modes?