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 $, km$)

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?

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?

One evening before sunset,two friends,Sumit and Mohit,were talking to each other face to face. If Mohit's shadow was exactly to his right side,which direction was Sumit facing?

$A$ man is facing north-west. He turns $90^{\circ}$ in the clockwise direction,then $180^{\circ}$ in the anticlockwise direction,and then another $90^{\circ}$ in the same direction. Which direction is he facing now?

Gopal started walking towards east. After moving a distance of $1 \,km$,he turned southward and walked $5 \,km$. Again,he turned to east and walked $2 \,km$. Finally,he turned to the north and walked $9 \,km$. How far is he from his starting point (in $,km$)?