$A$ clock is placed such that at $12$ noon,its minute hand points towards the north-east. In which direction does its hour hand point at $1:30 \,p.m.$?

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?

$A$ square field $ABCD$ of side $90 \,m$ is so located that its diagonal $AC$ is from north to south and the corner $B$ is to the west of $D$. Rohan and Rahul start walking along the sides from $B$ and $C$ respectively in the clockwise and anticlockwise directions with speeds of $8 \,km/hr$ and $10 \,km/hr$. Where shall they cross each other the second time?

In a square arrangement,let the initial positions be $A$ (North-West),$B$ (North-East),$C$ (South-East),and $D$ (South-West). $C$ and $A$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $B$ and $D$ move two sides each clockwise and anticlockwise respectively. Who is at the North-West corner?

Ramakant walks northwards. After a while,he turns to his right and a little further to his left. Finally,after walking a distance of $1 \ km$,he turns to his left again. In which direction is he moving now?

Sumesh went $15 \, km$ to the north from his house. Then he turned west and covered $10 \, km$. Then he turned south and covered $5 \, km$. Finally,he turned to the east and covered $10 \, km$. In which direction is he from his house?