Reaching the place of meeting on Tuesday $15 \text{ minutes}$ before $8:30 \text{ hours}$,Anuj found himself half an hour earlier than the man who was $40 \text{ minutes}$ late. What was the scheduled time of the meeting? (in $\text{hours}$)

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?

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?

Radha moves towards South-East a distance of $7 \, km$,then she moves towards West and travels a distance of $14 \, km$. From here she moves towards North-West a distance of $7 \, km$ and finally she moves a distance of $4 \, km$ towards East. How far is she now from the starting point? (in $km$)

Kunal walks $10 \,km$ towards North. From there he walks $6 \,km$ towards South. Then,he walks $3 \,km$ towards East. How far and in which direction is he with reference to his starting point?

$A$ 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?