Dinesh walks $20 \,m$ north. Then he turns right and walks $30 \,m$. Now he turns right and walks $35 \,m$. Now, turning left, he walks $15 \,m$. Again, he turns left and moves $15 \,m$. Finally, turning left, he again walks $15 \,m$. In which direction and how far is he from his original position?

From the original position given in the above figure,$A$ and $B$ move one arm length clockwise and then cross over to the corner diagonally opposite; $C$ and $D$ move one arm length anti-clockwise and cross over the corner diagonally opposite. The original configuration $ADBC$ has now changed to

$A$ starts crossing a field diagonally. After walking half the distance,he turns right,walks some distance,and then turns left. Which direction is $A$ facing now?

$A$ child is looking for his father. He went $90 \, m$ in the east before turning to his right. He went $20 \, m$ before turning to his right again to look for his father at his uncle's place $30 \, m$ from this point. His father was not there. From there,he went $100 \, m$ to his north before meeting his father in a street. How far did the son meet his father from the starting point? (in $m$)

$A$ man is facing west. He turns $45^{\circ}$ in the clockwise direction and then another $180^{\circ}$ in the same direction and then $270^{\circ}$ in the anticlockwise direction. Which direction is he facing now?

Mohan correctly remembers that his father's birthday is before $20^{th}$ January but after $16^{th}$ January,whereas his sister correctly remembers that their father's birthday is after $18^{th}$ January but before $23^{rd}$ January. On which date in January is their father's birthday?