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 $, km$)

The post office is to the east of the school,while my house is to the south of the school. The market is to the north of the post office. If the distance of the market from the post office is equal to the distance of my house from the school,in which direction is the market with respect to my school?

Arun moved a distance of $75 \, m$ towards north. He then turned to the left and walked for about $25 \, m$,turned left again and walked $80 \, m$. Finally,he turned to the right at an angle of $45^{\circ}$. In which direction was he moving finally?

$A, B, C,$ and $D$ are playing cards. $A$ and $B$ are partners. $D$ faces towards north. If $A$ faces west,then who faces south?

Satheesh left for his office in his car. He drove $15 \, km$ towards north and then $10 \, km$ towards west. He then turned to the south and covered $5 \, km$. Further,he turned to the east and moved $8 \, km$. Finally,he turned right and drove $10 \, km$. How far and in which direction is he from his starting point?

$A$ is $40 \, m$ South-west of $B.$ $C$ is $40 \, m$ South-east of $B.$ Then,$C$ is in which direction of $A$?