From the positions in the original figure,$C$ and $A$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $B$ and $D$ move two sides each clockwise and anticlockwise respectively. Where is $A$ now?

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 $U$?

Reaching the place of meeting on Tuesday $15 \text{ minutes}$ before $8:30 \text{ hours}$,Anuj found himself half an hour earlier than the man who was $40 \text{ minutes}$ late. What was the scheduled time of the meeting? (in $\text{hours}$)

$A$ man walks $30 \,m$ towards South. Then,turning to his right,he walks $30 \,m.$ Then,turning to his left,he walks $20 \,m.$ Again,he turns to his left and walks $30 \,m.$ How far is he from his initial position (in $m$)?

Rama remembers that she met her brother on Saturday,which was after the $20^{th}$ day of a particular month. If the $1^{st}$ day of that month was Tuesday,then on which date did Rama meet her brother?

$A$ man leaves for his office from his house. He walks towards East. After moving a distance of $20 \,m,$ he turns towards South and walks $10 \,m.$ Then he walks $35 \,m$ towards the West and further $5 \,m$ towards the North. He then turns towards East and walks $15 \,m.$ What is the straight distance in metres between his initial and final positions?