This year,Balu's birthday is on $27^{th}$ January,which is a Wednesday. Balu remembers that Mohan's birthday is exactly on the fifth Friday after his birthday. How much younger is Mohan than Balu?

$A$ clock gaining $2 \, \text{minutes}$ every hour was synchronized at midnight with a clock losing $1 \, \text{minute}$ every hour. How many minutes behind will the second clock be at $11:00 \, \text{AM}$ the following morning compared to the clock gaining $2 \, \text{minutes}$ every hour?

$A$ child is looking for his father. He went $90 \, m$ in the East before turning to his right. He went $20 \, m$ before turning to his right again to look for his father at his uncle's place $30 \, m$ from this point. His father was not there. From here he went $100 \, m$ to the North before meeting his father in a street. How far did the son meet his father 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 other pairs,besides $SU$,are diagonally opposite to each other?

One day,Ravi left home and cycled $10 \,km$ southwards,turned right and cycled $5 \,km$,turned right and cycled $10 \,km$,and finally turned left and cycled $10 \,km$. How many kilometres will he have to cycle to reach his home straight? (in $km$)

Starting from a point $P,$ Sachin walked $20 \,m$ towards South. He turned left and walked $30 \,m.$ He then turned left and walked $20 \,m.$ He again turned left and walked $40 \,m$ and reached a point $Q.$ How far and in which direction is the point $Q$ from the point $P$?