There are four persons $P, Q, R$ 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?

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?

Point $B$ is $12 \,meters$ south of point $A.$ Point $C$ is $24 \,meters$ east of point $B.$ Point $D$ is $8 \,meters$ south of point $C.$ Point $D$ is $12 \,meters$ east of point $E$ and point $F$ is $8 \,meters$ north of point $E.$ If a man has to travel to point $E$ from point $A$ (through these points by the shortest distance),which of the following points will he pass through first?

Gaurav walks $20 \, m$ towards North. He then turns left and walks $40 \, m$. He again turns left and walks $20 \, m$. Further,he moves $20 \, m$ after turning to the right. How far is he from his original position (in $, m$)?

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 $\text{hours}$)

Laxman went $15 \, km$ to the west from my house,then turned left and walked $20 \, km$. He then turned east and walked $25 \, km$ and finally turning left,covered $20 \, km$. How far was he from my house? (in $\, km$)