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?

Starting from a point $P,$ Sachin walked $20 \,m$ towards South. He turned left and walked $30 \,m.$ He then turned left and walked $20 \,m.$ He again turned left and walked $40 \,m$ and reached a point $Q.$ How far and in which direction is the point $Q$ from the point $P$?

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 $,km$)?

There are four persons $P, Q, R$ and $T$. $Q$ is to the south-west of $P$; $R$ is to the east of $Q$ and south-east of $P$,and $T$ is to the north of $R$ in line with $QP$. In which direction of $P$ is $T$ located?

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?

Two buses start from the opposite points of a main road,$150 \, km$ apart. The first bus runs for $25 \, km$ and takes a right turn and then runs for $15 \, km$. It then turns left and runs for another $25 \, km$ and takes the direction back to reach the main road. In the meantime,due to a minor breakdown,the other bus has run only $35 \, km$ along the main road. What would be the distance between the two buses at this point? (in $km$)