At 3.40, the hour hand and the minute hand of a clock form an angle of: - Clock Puzzels

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A. 110 degrees

B. 120 degrees

C. 130 degrees

D. 132 degrees

Answer: C . 130 degrees

Justification:

Angle traced by hour hand in 12 hrs. = 360º.

Angle traced by it in 11/3 hrs= $36012*113°"> (360 12 * 11 3) ?$

= $110°"> 110 ?$

Angle traced by minute hand in 60 min. = 360º.

Angle traced by it in 40 min. =(360/60*40) $°"> °$

=240 $°"> °$

Required angle (240 - 110)º = 130º