$A$ postman was returning to the Post Office,which was in front of him to the north. When the Post Office was $100 \, m$ away from him,he turned to the left and moved $50 \, m$ to deliver the last letter at Shanti Villa. He then moved in the same direction for $40 \, m$,turned to his right,and moved $100 \, m$. How many metres away was he now from the Post Office? (in $m$)

After walking a distance of $50 \, m$ to the south of her house,Lakshmi turns left and walks another $20 \, m$. Then she turns north and walks $30 \, m$ and then starts walking to her house. In which direction is she walking 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.
Which of the following combinations get South-facing flats? To arrive at the answer to the above question,which of the following statements can be dispensed with?

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?

Deepa moved a distance of $75 \, \text{metres}$ towards the north. She then turned to the left and,walking for about $25 \, \text{metres}$,turned left again and walked $80 \, \text{metres}$. Finally,she turned to the right at an angle of $45^{\circ}$. In which direction was she moving finally?

Two ladies and two men are playing cards and are seated at North,East,South and West of a table. No lady is facing East. Persons sitting opposite to each other are not of the same sex. One man is facing South. Which directions are the ladies facing?