Radha moves towards South-East a distance of $7 \, km$,then she moves towards West and travels a distance of $14 \, km$. From here she moves towards North-West a distance of $7 \, km$ and finally she moves a distance of $4 \, km$ towards East. How far is she now from the starting point? (in $km$)

$A$ rat runs $20$ towards East and turns to right,runs $10$ and turns to right,runs $9$ and again turns to left,runs $5$ and then turns to left,runs $12$ and finally turns to left and runs $6.$ Now,which direction is the rat facing?

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?

Kailash faces towards north. Turning to his right,he walks $25 \,m$. He then turns to his left and walks $30 \,m$. Next,he moves $25 \,m$ to his right. He then turns to his right again and walks $55 \,m$. Finally,he turns to the right and moves $40 \,m$. In which direction is he now from his starting point?

In a square arrangement,let the initial positions be $A$ (North-West),$B$ (North-East),$C$ (South-East),and $D$ (South-West). $C$ 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. Who is at the North-West corner?

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?