Nitin correctly remembers that Nidhi's birthday is after Tuesday but before Friday. Derek correctly remembers that Nidhi's birthday is after Wednesday but before Saturday. On which of the following days does Nidhi's birthday definitely fall?

Laxman went $15 \, km$ to the west from my house,then turned left and walked $20 \, km$. He then turned east and walked $25 \, km$ and finally turned left and covered $20 \, km$. How far was he from his house? (in $\, km$)

Rohit walked $25 \, m$ towards South. Then he turned to his left and walked $20 \, m$. He then turned to his left and walked $25 \, m$. He again turned to his right and walked $15 \, m$. At what distance is he from the starting point and in which direction?

$X$ and $Y$ start moving towards each other from two places $200 \, m$ apart. After walking $60 \, m$,$Y$ turns left and walks $20 \, m$,then turns right and walks $40 \, m$. He then turns right again and comes back to the road on which he had started walking. If $X$ and $Y$ walk with the same speed,what is the distance between them now? (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?

$A$ watch reads $4:30$. If the minute hand points East,in what direction will the hour hand point?