Clocks Q61

61. What is the angle between the hands of the clock at 3.45?

 Answer:

A.157.5 deg.                                 B.57.5 deg.

C.187.5 deg.                                 D.257.5 deg.

 At 3, the angle between the hands = A = 90 deg.

 In 45 min the hands will move angle of B = 45 X 5.5 deg (since 5.5 deg for 1 min)

 B = 247.5 deg.

 Required angle = A ~ B = 157.5 deg.