One morning after sunrise,Vikram and Shailesh were standing in a lawn with their backs towards each other. Vikram's shadow fell exactly towards his left-hand side. Which direction was Shailesh facing?

Deepa moved a distance of $75 \, \text{metres}$ towards the north. She then turned to the left and,walking for about $25 \, \text{metres}$,turned left again and walked $80 \, \text{metres}$. Finally,she turned to the right at an angle of $45^{\circ}$. In which direction was she moving finally?

$A$ 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?

Raman starts from point $P$ and walks towards South and stops at point $Q.$ He now takes a right turn followed by a left turn and stops at point $R.$ He finally takes a left turn and stops at point $S.$ If he walks $5 \, km$ before taking each turn,towards which direction will Raman have to walk from point $S$ to reach point $Q$?

Deepak starts walking straight towards east. After walking $75 \, m$,he turns to the left and walks $25 \, m$ straight. Again he turns to the left,walks a distance of $40 \, m$ straight,and again he turns to the left and walks a distance of $25 \, m$. How far is he from the starting point?

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 $\text{hours}$)