$A$ boy rode his bicycle northwards,then turned left and rode $1 \, km$,and again turned left and rode $2 \, km$. He found himself exactly $1 \, km$ west of his starting point. How far did he ride northwards initially? (in $km$)

In a row of children facing north,Manish is fourth to the left of Suresh,who is tenth from the left end. Nisha is second to the right of Suresh and eighth from the right end of the row. Total how many children are there in the row?

Laxman went $15 \, km$ to the west from my house,then turned left and walked $20 \, km$. He then turned east and walked $25 \, km$ and finally turning left,covered $20 \, km$. How far was he from my house? (in $\, km$)

$A$ man is facing south. He turns $135^{\circ}$ in the anticlockwise direction and then $180^{\circ}$ in the clockwise direction. Which direction is he 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 $A.$ If a person walks $5 \,m$ towards North from point $F$ and then takes a right turn,which of the following points would he reach first?

The post office is to the east of the school,while my house is to the south of the school. The market is to the north of the post office. If the distance of the market from the post office is equal to the distance of my house from the school,in which direction is the market with respect to my school?