$A$ boy rode his bicycle northwards,then turned left and rode $1 \, km$,and again turned left and rode $2 \, km$. He found himself exactly $1 \, km$ west of his starting point. How far did he ride northwards initially? (in $km$)

Kailash faces towards north. Turning to his right, he walks $25\; metres$. He then turns to his left and walks $30\; metres$. Next, he moves $25\; metres$ to his right. He then turns to his right again and walks $55\; metres$. Finally, he turns to the right and moves $40\; metres$. In which direction is he now from his starting point?

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?

Laxman went $15 \, km$ to the west from my house,then turned left and walked $20 \, km$. He then turned east and walked $25 \, km$ and finally turning left,covered $20 \, km$. How far was he from my house? (in $\, km$)

$I$ am facing east. $I$ turn $100^{\circ}$ in the clockwise direction and then $145^{\circ}$ in the anticlockwise direction. Which direction am $I$ facing now?

$I$ start from my home and go $2 \, km$ straight. Then,$I$ turn towards my right and go $1 \, km$. $I$ turn again towards my right and go $1 \, km$ again. If $I$ am north-west from my house,then in which direction did $I$ go in the beginning?