There are four towns $P, Q, R$ and $T$. $Q$ is to the South-west of $P$,$R$ is to the East of $Q$ and South-east of $P$,and $T$ is to the North of $R$ in line with $QP$. In which direction of $P$ is $T$ located?

The post office is to the east of the school,while my house is to the south of the school. The market is to the north of the post office. If the distance of the market from the post office is equal to the distance of my house from the school,in which direction is the market with respect to my school?

Mohan correctly remembers that his father's birthday is before $20^{th}$ January but after $16^{th}$ January,whereas his sister correctly remembers that their father's birthday is after $18^{th}$ January but before $23^{rd}$ January. On which date in January is their father's birthday?

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 $\text{hours}$)

$A$ rat runs $20$ towards East and turns to right,runs $10$ and turns to right,runs $9$ and again turns to left,runs $5$ and then turns to left,runs $12$ and finally turns to left and runs $6.$ Now,which direction is the rat facing?

Ravi wants to go to the university. He starts from his home,which is in the East,and comes to a crossing. The road to the left ends in a theatre,and straight ahead is the hospital. In which direction is the university?