If $(i)$ $P$ is taller than $Q$,$(ii)$ $R$ is shorter than $P$,$(iii)$ $S$ is taller than $T$ but shorter than $Q$,then who among them is the tallest?

$A$ 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 is followed by Science?

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. More than two teachers were teaching which subject?

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 neither historical places nor industrial centres?

In a group of $5$ persons $A, B, C, D,$ and $E,$ there is a professor,a businessman,and an artist. $A$ and $D$ are ladies who are unmarried and do not work. Of the married couple in the group,$E$ is the husband. $B$ is the brother of $A$ and is neither a businessman nor an artist. $E$'s wife is an artist. Who is the professor?

There are five bus stops $A, B, C, D,$ and $E$ at equal intervals. $C$ is not the middle stop. $A$ and $E$ are not terminal stops. $C$ comes twice as many stops before $D$ in the upward journey as $B$ comes after $A$. $D$ is the first stop in the downward journey. Which of the following gives the correct sequence of the stops in the downward journey?