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At what time between 5 O’clock and 6 O’ clock in the evening will the hands of a clock be at an angle of 90 degree with each other?

A.	12:10 10/11 pm	B.	9:10 10/11 pm
C.	5:10 10/11 pm	D.	8:10 10/11 pm

Answer and Explanation

Answer:5:10 10/11 pm

Explanation:
Retaining let the time be 5:x pm
=> Angle effectively covered by the hour hand by 5:x p.m.
=> 5:x pm = (150 + x/2)º
=> Angle effectively covered by the minute hand by 5:x pm
=> 6xº
=> (150 + x/2)º – 6xº = 90º
=> x = 120/11 or 480/11
=> the required time is
=> 5: 10 10/11 pm

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