Kashish goes $30 \, m$ North,then turns right and walks $40 \, m$,then again turns right and walks $20 \, m$,then again turns right and walks $40 \, m$. How many metres is he from his original position?

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?

There are four persons $P, Q, R$ and $T$. $Q$ is to the south-west of $P$; $R$ is to the east of $Q$ and south-east of $P$,and $T$ is to the north of $R$ in line with $QP$. In which direction of $P$ is $T$ located?

Dinesh walks $20 \,m$ north. Then he turns right and walks $30 \,m$. Now he turns right and walks $35 \,m$. Now, turning left, he walks $15 \,m$. Again, he turns left and moves $15 \,m$. Finally, turning left, he again walks $15 \,m$. In which direction and how far is he from his original position?

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?

One evening before sunset,two friends,Sumit and Mohit,were talking to each other face to face. If Mohit's shadow was exactly to his right side,which direction was Sumit facing?