the angle between the minute hand and hour of a clock when..., Rances & Games of Skill, General Mathematics

Question:The angle between the minute hand and the hour hand of a clock when the time is 4.20, is :

A `0^°` 
B `10^°` 
C `5^°` 
D `20^°`

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+ AnswerB

+ ExplanationAngle traced by hour hand in `13/2` hrs` = (360/12 xx 13/3)^°`

                              `= 130^°`

Angle traced by min. hand in 20 min.` = (360/60 xx 20)^°`

                                    `= 120^°`

      :. Required angle` = (130 - 120)^° = 10^°`

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