$A$ 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 $km$)

$A$ and $B$ start moving towards each other from two places $200 \,m$ apart. After walking $60 \,m$,$B$ turns left and goes $20 \,m$,then he turns right and goes $40 \,m$. He then turns right again and comes back to the road on which he had started walking. If $A$ and $B$ walk with the same speed,what is the distance between them now? (in $m$)

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?

$I$ 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?

Ram is facing South. Ramesh,walking towards him,stops,and turns to his right. He sees Umesh standing before him facing him. Which direction is Umesh facing?

One day,Ravi left home and cycled $10 \,km$ southwards,turned right and cycled $5 \,km$,turned right and cycled $10 \,km$,and finally turned left and cycled $10 \,km$. How many kilometres will he have to cycle to reach his home straight? (in $km$)