If a clock started at noon,then the angle turned by the hour hand at $3:45\, PM$ is (in $^{\circ}$)

  • A
    $104 \frac{1}{2}^{\circ}$
  • B
    $97 \frac{1}{2}^{\circ}$
  • C
    $112 \frac{1}{2}^{\circ}$
  • D
    $117 \frac{1}{2}^{\circ}$

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