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?

$A$ man is facing north-west. He turns $90^{\circ}$ in the clockwise direction,then $180^{\circ}$ in the anticlockwise direction,and then another $90^{\circ}$ in the same direction. Which direction is he facing now?

$A$ person travelled from a point $X$ straight to $Y$ at a distance of $80 \, m$. He turned right and walked $50 \, m$,then again turned right and walked $70 \, m$. Finally,he turned right and walked $50 \, m$. How far is he from the starting point? (in $m$)

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?

Johnson left for his office in his car. He drove $15 \, km$ towards north and then $10 \, km$ towards west. He then turned to the south and covered $5 \, km$. Further,he turned to the east and moved $8 \, km$. Finally,he turned right and drove $10 \, km$. How far and in which direction is he from his starting point?

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?