$A$ man is facing south. He turns $135^{\circ}$ in the anticlockwise direction and then $180^{\circ}$ in the clockwise direction. Which direction is he facing now?

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?

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 $P$?

Going $50 \,m$ to the South of her house,Radhika turns left and goes another $20 \,m.$ Then,turning to the North,she goes $30 \,m$ and then starts walking to her house. In which direction is she walking now?

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 $\text{hours}$)

$A$ man is facing north-west. He turns $90^{\circ}$ in the clockwise direction and then $135^{\circ}$ in the anticlockwise direction. Which direction is he facing now?