$A$ man is facing south. He turns $135^{\circ}$ in the anticlockwise direction and then $180^{\circ}$ in the clockwise direction. Which direction is he facing now?

$A$ 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 $km$)

$A$ girl leaves from her home. She first walks $30 \, m$ in the North-west direction and then $30 \, m$ in the South-west direction. Next,she walks $30 \, m$ in the South-east direction. Finally,she turns towards her house. In which direction is she moving?

From a point,Rajneesh started walking towards the east and walked $35 \, m$. He then turned towards his right and walked $20 \, m$,and he again turned right and walked $35 \, m$. Finally,he turned to his left and walked $20 \, m$ and reached his destination. Now,how far is he from his starting point? (in $m$)

$A$ square field $ABCD$ of side $90 \,m$ is so located that its diagonal $AC$ is from north to south and the corner $B$ is to the west of $D$. Rohan and Rahul start walking along the sides from $B$ and $C$ respectively in the clockwise and anticlockwise directions with speeds of $8 \,km/hr$ and $10 \,km/hr$. Where shall they cross each other the second time?

If the above clock is turned through an angle of $135^{\circ}$ in an anticlockwise direction,in which direction will its minute hand point at $8.45 \, p.m.$?