One evening before sunset,two friends,Sumit and Mohit,were talking to each other face to face. If Mohit's shadow was exactly to his right side,which direction was Sumit facing?

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 $, m$)?

Arun moved a distance of $75 \, m$ towards north. He then turned to the left and walked for about $25 \, m$,turned left again and walked $80 \, m$. Finally,he turned to the right at an angle of $45^{\circ}$. In which direction was he moving finally?

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?

Rupa and Saroj want to attend a seminar together between $9 \, am$ and $5 \, pm$ on Friday. Saroj cannot leave till after her lunch break which begins at $1:30 \, pm$. Rupa is free after her meeting which begins at noon. For how many hours can the two of them attend the seminar?

Six flats on a floor in two rows facing North and South are allotted to $P, Q, R, S, T$ and $U$.
$(i)$ $Q$ gets a North-facing flat and is not next to $S$.
(ii) $S$ and $U$ get diagonally opposite flats.
(iii) $R$,next to $U$,gets a South-facing flat and $T$ gets a North-facing flat.
Which of the other pairs,besides $SU$,are diagonally opposite to each other?