If $A$ is to the south of $B$ and $C$ is to the east of $B$,in what direction is $A$ with respect to $C$?

In a square arrangement,let the initial positions be $A$ (North-West),$B$ (North-East),$C$ (South-East),and $D$ (South-West). $C$ and $A$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $B$ and $D$ move two sides each clockwise and anticlockwise respectively. Who is at the North-West corner?

From his house,Lokesh went $15 \, km$ to the North. Then he turned West and covered $10 \, km$. Then,he turned South and covered $5 \, km$. Finally,turning to East,he covered $10 \, km$. In which direction is he from his house?

$A$ 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 $km$)

From the positions in the original figure,$C$ and $A$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $B$ and $D$ move two sides each clockwise and anticlockwise respectively. Where is $A$ now?

$A$ 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?