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Question

The reflex angle between the hands of a clock at 10.25 is:

Options:
A .  180º
B .  \(192\frac{1}{2}^{0}\)
C .  195º
D .  \(197\frac{1}{2}^{0}\)
Answer: Option D

Angle traced by hour hand in  \(\frac{125}{12}\)  hrs =\(\left(\frac{360}{12}\times\frac{125}{12}\right)^{0}= 312\frac{1}{2}^{0}\)


Angle traced by minute hand in 25 min = \(\left(\frac{360}{50}\times25\right)^{0}=150^{0}\)


So, Reflex angle = 360º – \(\left( 312\frac{1}{2}^{0}-150\right)^{0}=360^{0}-162\frac{1}{2}^{0}=197\frac{1}{2}^{0}\)


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