Among six friends $L, M, N, P, Q$ and $S,$ each having a different height,$N$ is taller than $Q$ and $P$ but shorter than $M.$ $P$ is taller than only $Q$ while $S$ is shorter only than $L.$ Which of the following pairs represents the tallest and the shortest among the six friends?

Six flats on a floor in two rows facing North and South are allotted to $P, Q, R, S, T$ and $U$.
$(i)$ $Q$ gets a North-facing flat and is not next to $S$.
(ii) $S$ and $U$ get diagonally opposite flats.
(iii) $R$,next to $U$,gets a South-facing flat and $T$ gets a North-facing flat.
Which of the other pairs,besides $SU$,are diagonally opposite to each other?

$A$ clock gaining $2 \, \text{minutes}$ every hour was synchronized at midnight with a clock losing $1 \, \text{minute}$ every hour. How many minutes behind will the second clock be at $11:00 \, \text{AM}$ the following morning compared to the clock gaining $2 \, \text{minutes}$ every hour?

If the third day of a month is Tuesday,which of the following would be the $4^{th}$ day before the $27^{th}$ day of that month?

$A$ clock is placed such that at $12$ noon,its minute hand points towards the north-east. In which direction does its hour hand point at $1:30 \,p.m.$?

Six flats on a floor in two rows facing North and South are allotted to $P, Q, R, S, T,$ and $U$.
$(i)$ $Q$ gets a North-facing flat and is not next to $S$.
(ii) $S$ and $U$ get diagonally opposite flats.
(iii) $R$,next to $U$,gets a South-facing flat and $T$ gets a North-facing flat.
If the flats of $T$ and $P$ are interchanged,whose flat will be next to that of $U$?