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Question

What is the included angle between the hour hand and the minute hand, if the time shown by the clock is 06:30? 


  1. 0º , Acute 

  2. 180º, Obtuse 

  3. 15º, Acute 

  4. 30º, Acute 


Solution

The correct option is C

15º, Acute 


In one hour, the minute hand covers 360º and the hour hand covers 360/12 = 30º. Accordingly when the minute hand covers 180º, the hour hand covers 15º. So at 6:30, the minute hand covers 180º and hour hand covers 195º. The angle included between the minute and hour hand at 6:30 is 15º.

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