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At what time between 3 O'clock and 4 O'clock will the hands of a clock lie on a straight line but do not coincide?
At the time 3:00 O'clock hour hand is 15 minutes away from centre.
But , minutes hand gain 5 minutes in every 60 minutes.So,to be in staright line it should cover $$(15-5)=10 minutes$$ away from 4 O'clock hand.
and in 60 seconds it will gain 55 seconds.
So, They will be in a straight line at
$$4 O'clock- 10 minutes-55seconds$$
at 3:49:05.
A is correct choice.
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