Kishenkant walks $10 \, km$ towards North. From there,he walks $6 \, km$ towards South. Then,he walks $3 \, km$ towards East. How far and in which direction is he with reference to his starting point?

After walking a distance of $50 \, m$ to the south of her house,Lakshmi turns left and walks another $20 \, m$. Then she turns north and walks $30 \, m$ and then starts walking to her house. In which direction is she walking now?

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 $U$?

Kailash faces towards north. Turning to his right,he walks $25 \,m$. He then turns to his left and walks $30 \,m$. Next,he moves $25 \,m$ to his right. He then turns to his right again and walks $55 \,m$. Finally,he turns to the right and moves $40 \,m$. In which direction is he now from his starting point?

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?

Ravi walked $2 \, km$ west of his house and then turned south,covering $4 \, km$. Finally,he moved $3 \, km$ towards east and then again $1 \, km$ west. How far is he from his initial position (in $, km$)?