If $A$ is to the south of $B$ and $C$ is to the east of $B$,in what direction is $A$ with respect to $C$?

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 $U$?

$A$ is $40 \, m$ South-west of $B.$ $C$ is $40 \, m$ South-east of $B.$ Then,$C$ is in which direction of $A$?

Sachin and Vinod want to visit the museum after their exams. Sachin's exams finish on $9^{th}$ April and he is leaving for a holiday on $12^{th}$ April. Vinod's exams will be over by $10^{th}$ April,after which he is free. On which of the following dates can the two definitely meet?

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

Rasik walks $20 \, m$ North. Then he turns right and walks $30 \, m$. Then he turns right and walks $35 \, m$. Then he turns left and walks $15 \, m$. Then he again turns left and walks $15 \, m$. In which direction and how many metres away is he from his original position?