Each hour, the hour hand turns $$30{}^{}\circ$$, so it will take $$5\frac{1}{2}$$ hours to turn $$165{}^{}\circ$$; the time will therefore be $$4.30\text{pm}$$. 
The clock is showing $$11\text{am}$$ now.  When the hour hand has turned through $$165{}^{}\circ$$, what time will it be? 
  - $$11.30\text{pm}$$ 
  - $$12.30\text{pm}$$ 
  - $$4.30\text{pm}$$ 
  - $$5.30\text{pm}$$ 
  - $$11.30\text{pm}$$ 