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At what time between 4:15 am and 5:05 am will the angle between the hour hand and the minute hand of a clock be the same as the angel between the hands at 8:45 pm?

A.	23 7/11 minutes past 4 oâ€™clock	B.	22 2/11 minutes past 4 oâ€™clock
C.	27 2/11 minutes past 4 oâ€™clock	D.	23 2/11 minutes past 4 oâ€™clock

Answer and Explanation

Answer:23 2/11 minutes past 4 oâ€™clock

Explanation:
We have â€“ θ= 6(40 â€“ 11*45 / 12) = â€“ 30/4. At 8 :45, the angle between the minute hand and the hour hand of the clock will be 30/4Â°. This is the same as the required angle.
Therefore Â±30/4 = 6(20 â€“ 11m/12).
On solving, m=20 m 5/11 minutes or 23 2/11 minutes past 4 oâ€™clock

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