Aptitude - Clock - Discussion

How we are getting after calculation 4min 48 sec in denominator i.e. (5?).

I understood 4*60=240 but I am not getting that how 5 came in the denominator.

Please, anyone help me. Thanks.

Sam sets alarm at 5 am. But the clock loses 16 minutes in 24 hours. Effectively, the clock indicates 10:00 pm on the 4th day. Find out the original time of the clock.

Tell me the answer for this question.

@Nitin

Initially, it is 2 min low at 12 pm so to compensate that loss 2min gain is there but at last, why do they calculate for 2 min gain individually? Explain it.

See, for gaining 4 mins and 48 seconds it should first gain from -2 to 0 (that is from loss to zero) so there it comes 2 mins gaining and remaining 4 minutes and 48 seconds gaining so totally 6 mins and 48 seconds gaining in 170 hours so 2 mins gaining comes in 50 hours. At 2 minutes gaining there was no error, so there the time was corrected. So 50 hours from starting time gives the answer.

@Vinesh

The question isn't that 2 min should be added or subtracted, the question is that why are we doing so ? got it ??

"gains uniformly is 2 minutes low". It means clock is 2 min late at noon on Monday Okay ?

Now on next Monday it is 4 min 48 sec fast means it total gain is
= ( 2 min + 4min 48sec)

Explain me clearly to get it.

Thank you everyone.

Gain means the clock's hands are moving fast than actual time (i.e it takes less than 60minutes for minute's hand to complete 360 degrees).

Initially, the time in given clock is 11:58am but the actual time is 12 pm (this might be because someone changed the time to 11:58 in given clock).

Since the clock is moving fast it's time is 4min 48sec fast on following Monday. Now at one point in between present Monday to next Monday the given clock's time coincides with normal clock's time (i.e correct time). Now total time from 12 pm to next Monday 2pm is 170hours. Total time gain by given clock = 2+ (4min 48sec) = 34/5min in 170 hours. What we need now is 'When it shows the correct time. ' If clock gains those 2minutes which it is lagging initially then it shows the correct time. 34/5min gain in 170hours then 2min will gain in 170*2* (5/34) hours.

Thank you all for the given explanation.

Very helpful. Thanks a lot @Akash.