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Question

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

Options:
A .  80º
B .  75º
C .  60º
D .  105º
Answer: Option B

Angle traced by hour hand in \(\frac{17}{7}hrs = \left(\frac{360}{12}\times\frac{17}{7}\right)^{0}=255^{0}\)


Angle traced by min. hand in 30 min. = \(\left(\frac{360}{60}\times30\right)^{0}=180^{0}.\)


So, Required angle = (255 - 180)º = 75º


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