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

The town of Paranda is located on Green Lake. The town of Akram is west of Paranda. Tokhada is east of Akram but west of Paranda. Kakran is east of Bopri but west of Tokhada and Akram. If they are all in the same district,which town is the farthest west?

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 $U$?

Satheesh left for his office in his car. He drove $15 \, km$ towards north and then $10 \, km$ towards west. He then turned to the south and covered $5 \, km$. Further,he turned to the east and moved $8 \, km$. Finally,he turned right and drove $10 \, km$. How far and in which direction is he from his starting point?

Sanjeev walks $10 \, m$ towards the South. Turning to the left,he walks $20 \, m$ and then moves to his right. After moving a distance of $20 \, m,$ he turns to the right and walks $20 \, m.$ Finally,he turns to the right and moves a distance of $10 \, m.$ How far and in which direction is he from the starting point?

$X$ 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 $m$)