Gaurav walks $20 \, m$ towards North. He then turns left and walks $40 \, m$. He again turns left and walks $20 \, m$. Further,he moves $20 \, m$ after turning to the right. How far is he from his original position (in $, m$)?

$A$ clock is placed such that at $12$ noon,its minute hand points towards the north-east. In which direction does its hour hand point at $1:30 \,p.m.$?

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?

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 $A$. Which of the following points are in a straight line?

Ravi walked $2 \, km$ west of his house and then turned south,covering $4 \, km$. Finally,he moved $3 \, km$ towards east and then again $1 \, km$ west. How far is he from his initial position (in $, km$)?

$A$ man is facing north-west. He turns $90^{\circ}$ in the clockwise direction and then $135^{\circ}$ in the anticlockwise direction. Which direction is he facing now?