$A$ 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 $km$)

Sushil lives to the North of Rajesh,who lives to the West of Kamlesh. Arun,who lives to the South of Sushil,has his house in which direction with respect to Kamlesh?

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

$A$ clock gaining $2 \, \text{minutes}$ every hour was synchronized at midnight with a clock losing $1 \, \text{minute}$ every hour. How many minutes behind will the second clock be at $11:00 \, \text{AM}$ the following morning compared to the clock gaining $2 \, \text{minutes}$ every hour?

On a playing ground,Dinesh,Kunal,Nitin,Atul and Prashant are standing as described below facing the North.
$(i)$ Kunal is $40 \, m$ to the right of Atul.
$(ii)$ Dinesh is $60 \, m$ to the south of Kunal.
$(iii)$ Nitin is $25 \, m$ to the west of Atul.
$(iv)$ Prashant is $90 \, m$ to the north of Dinesh.
If a boy walks from Nitin,meets Atul followed by Kunal,Dinesh and then Prashant,how many metres has he walked if he has travelled the straight distance all through (in $, m$)?

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?