$A$ man walks $1 \, km$ towards East and then he turns to South and walks $5 \, km.$ Again he turns to East and walks $2 \, km,$ after this he turns to North and walks $9 \, km.$ Now,how far is he from his starting point? (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?

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

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 $km$)

Rupa and Saroj want to attend a seminar together between $9 \, am$ and $5 \, pm$ on Friday. Saroj cannot leave till after her lunch break which begins at $1:30 \, pm$. Rupa is free after her meeting which begins at noon. For how many hours can the two of them attend the seminar?

Rasik walks $20 \, m$ North. Then he turns right and walks $30 \, m$. Then he turns right and walks $35 \, m$. Then he turns left and walks $15 \, m$. Then he again turns left and walks $15 \, m$. In which direction and how many metres away is he from his original position?