Ravi wants to go to the university. He starts from his home,which is in the East,and comes to a crossing. The road to the left ends in a theatre,and straight ahead is the hospital. In which direction is the university?

$A$ child is looking for his father. He went $90 \, m$ in the east before turning to his right. He went $20 \, m$ before turning to his right again to look for his father at his uncle's place $30 \, m$ from this point. His father was not there. From there,he went $100 \, m$ to his north before meeting his father in a street. How far did the son meet his father from the starting point? (in $m$)

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 $U$?

Point $D$ is $14 \,m$ towards the West of point $A.$ Point $B$ is $4 \,m$ towards the South of point $D.$ Point $F$ is $9 \,m$ towards the South of point $D.$ Point $E$ is $7 \,m$ towards the East of point $B.$ Point $C$ is $4 \,m$ towards the North of point $E.$ Point $G$ is $4 \,m$ towards the South of point $A.$ $A$ directional post is erected on a crossing. In an accident,it was turned in such a way that the arrow which was first showing East is now showing South. $A$ passerby went in a wrong direction thinking it is West. In which direction is he actually travelling now?

$A$ 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 $1:30 \,p.m.$?

Point $B$ is $12 \,meters$ south of point $A.$ Point $C$ is $24 \,meters$ east of point $B.$ Point $D$ is $8 \,meters$ south of point $C.$ Point $D$ is $12 \,meters$ east of point $E$ and point $F$ is $8 \,meters$ north of point $E.$ If a man is standing facing north at point $C,$ how far and in which direction is point $F$?