After walking a distance of $50 \, m$ to the south of her house,Lakshmi turns left and walks another $20 \, m$. Then she turns north and walks $30 \, m$ and then starts walking to her house. In which direction is she walking now?

$I$ 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?

Point $D$ is $14 \,m$ towards the West of point $A.$ Point $B$ is $4 \,m$ towards the South of point $D.$ Point $F$ is $9 \,m$ towards the South of point $D.$ Point $E$ is $7 \,m$ towards the East of point $B.$ Point $C$ is $4 \,m$ towards the North of point $E.$ Point $G$ is $4 \,m$ towards the South of point $A.$ $A$ directional post is erected on a crossing. In an accident,it was turned in such a way that the arrow which was first showing East is now showing South. $A$ passerby went in a wrong direction thinking it is West. In which direction is he actually travelling now?

Sachin and Vinod want to visit the museum after their exams. Sachin's exams finish on $9^{th}$ April and he is leaving for a holiday on $12^{th}$ April. Vinod's exams will be over by $10^{th}$ April,after which he is free. On which of the following dates can the two definitely meet?

$A$ 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?

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?