Going $50 \,m$ to the South of her house,Radhika turns left and goes another $20 \,m.$ Then,turning to the North,she goes $30 \,m$ and then starts walking to her house. In which direction is she walking now?

$A$ starts crossing a field diagonally. After walking half the distance,he turns right,walks some distance,and then turns left. Which direction is $A$ facing now?

$A$ man walks $6 \, km$ to the east and then turns to the south and walks $5 \, km$. Again he turns to the east and walks $6 \, km$. Next,he turns towards north and walks $10 \, km$. How far is he now from his starting point (in $, km$)?

$I$ am facing South. $I$ turn right and walk $20 \, m.$ Then $I$ turn right again and walk $10 \, m.$ Then $I$ turn left and walk $10 \, m$ and then turning right walk $20 \, m.$ Then $I$ turn right again and walk $60 \, m.$ In which direction am $I$ from the starting point?

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 $U$?

From the original position,$B$ and $D$ move one and a half length of sides clockwise and anticlockwise respectively. Which one of the following statements is true?