at 3 40 the hours hand and minute of a clock form..., Rances & Games of Skill, General Mathematics

Question:At 3.40 the hours hand and the minute hand of a clock form an angle of :

A 120° 
B 125° 
C 130° 
D 135°

/59

+ AnswerC

+ ExplanationAngle traced by hour hand in 12 hrs = 360°

Angle traced by it in` 11/3` hrs` = (360/12 xx 11/3)^° = 110^°`

Angle traced by minute hand in 60 min.` = 360^°`

Angle traced by it in 40 min` = (360/60 xx 40)^° = 240^°

:. Required angle` = (240 - 110)^° = 130^°`

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