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?

$A$ clock gaining $2 \, \text{minutes}$ every hour was synchronized at midnight with a clock losing $1 \, \text{minute}$ every hour. How many minutes behind will the second clock be at $11:00 \, \text{AM}$ the following morning compared to the clock gaining $2 \, \text{minutes}$ every hour?

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?

$A$ 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?

If the above clock is turned through an angle of $135^{\circ}$ in an anticlockwise direction,in which direction will its minute hand point at $8.45 \, p.m.$?

Gopal starts from his house towards West. After walking a distance of $30 \, m$,he turns towards right and walks $20 \, m$. He then turns left and moves a distance of $10 \, m$,turns to his left again and walks $40 \, m$. He now turns to the left and walks $5 \, m$. Finally,he turns to his left. In which direction is he walking now?