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?

$Q$ walked $20 \, m$ towards West,took a left turn and walked $20 \, m$. He then took a right turn and walked $20 \, m$ and again took a right turn and walked $20 \, m$. How far is $Q$ now from the starting point? (in $m$)

Radha moves towards South-East a distance of $7 \, km$,then she moves towards West and travels a distance of $14 \, km$. From here she moves towards North-West a distance of $7 \, km$ and finally she moves a distance of $4 \, km$ towards East. How far is she now from the starting point? (in $km$)

$R$ is to the West of $P$. $T$ is to the East of $S$. $P$ is to the North of $S$. $T$ is in which direction with reference to $R$?

In a square arrangement,let the initial positions be $A$ (North-West),$B$ (North-East),$C$ (South-East),and $D$ (South-West). $C$ and $A$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $B$ and $D$ move two sides each clockwise and anticlockwise respectively. Who is at the North-West corner?

Raman starts from point $P$ and walks towards South and stops at point $Q.$ He now takes a right turn followed by a left turn and stops at point $R.$ He finally takes a left turn and stops at point $S.$ If he walks $5 \, km$ before taking each turn,towards which direction will Raman have to walk from point $S$ to reach point $Q$?