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 $, m$)?

Two buses start from the opposite points of a main road,$150 \, km$ apart. The first bus runs for $25 \, km$ and takes a right turn and then runs for $15 \, km$. It then turns left and runs for another $25 \, km$ and takes the direction back to reach the main road. In the meantime,due to a minor breakdown,the other bus has run only $35 \, km$ along the main road. What would be the distance between the two buses at this point? (in $km$)

$A$ 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?

$A, B, C,$ and $D$ are playing cards. $A$ and $B$ are partners. $D$ faces towards north. If $A$ faces west,then who faces south?

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?

$A$ man leaves for his office from his house. He walks towards east. After moving a distance of $20 \, m$,he turns towards south and walks $10 \, m$. Then he walks $35 \, m$ towards west and further $5 \, m$ towards north. He then turns towards east and walks $15 \, m$. What is the straight distance in metres between his initial and final positions?