$A$ postman was returning to the post office which was in front of him to the north. When the post office was $100 \, m$ away from him,he turned to the left and moved $50 \, m$ to deliver the last letter at Shantivilla. He then moved in the same direction for $40 \, m$,turned to his right and moved $100 \, m$. How many metres was he away from the post office? (in $m$)

Rama remembers that she met her brother on Saturday,which was after the $20^{th}$ day of a particular month. If the $1^{st}$ day of that month was Tuesday,then on which date did Rama meet her brother?

On a playing ground,Dinesh,Kunal,Nitin,Atul,and Prashant are standing as described below,facing the North.
$(i)$ Kunal is $40 \, \text{metres}$ to the right of Atul.
$(ii)$ Dinesh is $60 \, \text{metres}$ to the south of Kunal.
$(iii)$ Nitin is $25 \, \text{metres}$ to the west of Atul.
$(iv)$ Prashant is $90 \, \text{metres}$ to the north of Dinesh.
Who is to the north-east of the person who is to the left of Kunal?

$A$ man is facing north-west. He turns $90^{\circ}$ in the clockwise direction and then $135^{\circ}$ in the anticlockwise direction. Which direction is he facing now?

Binoj's school bus is facing north when it reaches his school. After starting from Binoj's house,it turns right twice and then left before reaching the school. What direction was the bus facing when it left the bus stop in front of Binoj's house?

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?