Question 69

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?

Solution

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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