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.
If the flats of $T$ and $P$ are interchanged,whose flat will be next to that of $U$?

$X$ and $Y$ start moving towards each other from two places $200 \, m$ apart. After walking $60 \, m$,$Y$ turns left and walks $20 \, m$,then turns right and walks $40 \, m$. He then turns right again and comes back to the road on which he had started walking. If $X$ and $Y$ walk with the same speed,what is the distance between them now? (in $m$)

Saroj started walking straight,facing West. After walking some distance,she took a left turn and again after walking some distance,she took a left turn. Which direction is she facing now?

Shailesh saw the movie on Monday. Nitin saw the movie two days prior to Vikas but three days after Shailesh. On which day did Vikas see the movie?

On a playing ground,Dinesh,Kunal,Nitin,Atul,and Prashant are standing as described below,facing the North.
$(i)$ Kunal is $40 \, \text{metres}$ to the right of Atul.
$(ii)$ Dinesh is $60 \, \text{metres}$ to the south of Kunal.
$(iii)$ Nitin is $25 \, \text{metres}$ to the west of Atul.
$(iv)$ Prashant is $90 \, \text{metres}$ to the north of Dinesh.
Who is to the north-east of the person who is to the left of Kunal?

$A$ postman was returning to the Post Office,which was in front of him to the north. When the Post Office was $100 \, m$ away from him,he turned to the left and moved $50 \, m$ to deliver the last letter at Shanti Villa. He then moved in the same direction for $40 \, m$,turned to his right,and moved $100 \, m$. How many metres away was he now from the Post Office? (in $m$)