$A$ man walked $30 \, m$ towards south. Then,he turned to his right and walked $30 \, m$. Then,he turned to his left and walked $20 \, m$. Again,he turned to his left and walked $30 \, m$. How far is he from his initial position?

$I$ am facing east. $I$ turn $100^{\circ}$ in the clockwise direction and then $145^{\circ}$ in the anticlockwise direction. Which direction am $I$ facing now?

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 $A.$ If a person walks $5 \,m$ towards North from point $F$ and then takes a right turn,which of the following points would he reach first?

Ram is facing South. Ramesh,walking towards him,stops,and turns to his right. He sees Umesh standing before him facing him. Which direction is Umesh facing?

In the given figure,$P$ is $300 \, km$ eastward of $O$ and $Q$ is $400 \, km$ north of $O$. $R$ is exactly in the middle of $Q$ and $P$. The distance between $Q$ and $R$ is (in $, km$)

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 following combinations get South-facing flats? To arrive at the answer to the above question,which of the following statements can be dispensed with?