$(i)$ $A, B, C, D, E, F$ and $G$ are sitting on a wall and all of them are facing east.
$(ii)$ $C$ is on the immediate right of $D$.
$(iii)$ $B$ is at an extreme end and has $E$ as his neighbour.
$(iv)$ $G$ is between $E$ and $F$.
$(v)$ $D$ is sitting third from the south end.
Which of the conditions $(i)$ to $(v)$ given above is not required to find out the place in which $D$ is sitting?

$(i)$ Five friends $P, Q, R, S$ and $T$ travelled to five different cities of Chennai,Calcutta,Delhi,Bangalore and Hyderabad by five different modes of transport of 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.
Who among the following travelled to Delhi?

At the end of a cricket series,when five players were arranged in the ascending order of runs scored by them,$O$ was fourth while $N$ was first. When they were arranged in descending order for wickets taken by them,$K$ replaces $O$ while $O$ replaces $L$. $M$'s position remains unchanged. $K$ has scored more runs than $M$. $L$ is having first rank in one ranking and fifth in another.
Who has taken the lowest number of wickets?

Shekhar is taller than Kunal. Atul is taller than Pawan but not as tall as Kunal. Prashant is taller than Shekhar. Who among them is the shortest?

$A, B, C, D,$ 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 $A$. How many persons are there to the right of $E$?

$A$ training college has to conduct a refresher course for teachers of seven different subjects: Mechanics,Psychology,Philosophy,Sociology,Economics,Science,and Engineering from $22^{nd}$ July to $29^{th}$ July.
$1$. The course should start with Psychology.
$2$. $23^{rd}$ July,being Sunday,should be a holiday.
$3$. Science subject should be on the previous day of the Engineering subject.
$4$. The course should end with Mechanics.
$5$. Philosophy should be immediately after the holiday.
$6$. There should be a gap of one day between Economics and Engineering.
Which subject will be on Tuesday?