Solve this extension to the earlier question:
(a) How many occasions are there when the minute hand and the hour hand coincide with each other?
(b) When are these occasions* ?
(c) What are the angles of both the hands clockwise from the position "12" at those instances where both hands coincide?
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* Warning! Except for the first and most trivial case (1200) the other cases comprise weird fractions (with minutes expressed as mixed numbers) :)
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If you have done your due diligence to solve the problem, check your answers against mine:
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