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?

$A$ 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 $1:30 \,p.m.$?

$A$ man leaves for his office from his house. He walks towards East. After moving a distance of $20 \,m,$ he turns towards South and walks $10 \,m.$ Then he walks $35 \,m$ towards the West and further $5 \,m$ towards the North. He then turns towards East and walks $15 \,m.$ What is the straight distance in metres between his initial and final positions?

Sushil lives to the North of Rajesh,who lives to the West of Kamlesh. Arun,who lives to the South of Sushil,has his house in which direction with respect to Kamlesh?

If the digits of a watch are replaced by every alternate letter of the alphabet beginning from $12$ in the reverse order,i.e.,$12$ is replaced by $A$,$11$ is replaced by $C$,and so on,then on which alphabet would the small hand be when the time is $5:00 \, P.M.$?

$A$ 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?