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# ps clock

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10 Oct 2008, 12:39
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a certain clock indicates 8 o'clock. if the clock runs accurately for the next 11,995 hours what hour will it indicate at the end of that time?

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14 Oct 2008, 07:20
The current clock is showing 8 O'clock, which is 2/3 of the 12 hours. So 1/3 ( 4 /12) is left to finish the clock cycle of 12 hours.
Now, 11995 when divided by 12 to eliminate the complete cycles of 12 hrs, we get 999+ 7 / 12 , here 999 is Quotient, 7 is remainder. So in 11995 hours we have taken 7/12 extra round aprt from 999 complete rounds.
Now, subtract the 1/3 (or 4/12) from 7 / 12 and we get 3/12 , which indicates 3 hours out of 12 hour cycle. Hence 3 o'clock on the time.
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14 Oct 2008, 09:37
gameCode wrote:
The current clock is showing 8 O'clock, which is 2/3 of the 12 hours. So 1/3 ( 4 /12) is left to finish the clock cycle of 12 hours.
Now, 11995 when divided by 12 to eliminate the complete cycles of 12 hrs, we get 999+ 7 / 12 , here 999 is Quotient, 7 is remainder. So in 11995 hours we have taken 7/12 extra round aprt from 999 complete rounds.
Now, subtract the 1/3 (or 4/12) from 7 / 12 and we get 3/12 , which indicates 3 hours out of 12 hour cycle. Hence 3 o'clock on the time.

i took a different approach

i divided 11995 by 24 to see number of complete cycles. i got 499 as quotient and 19 hrs as remainder.so after 499 hrs it will be 8 O'clock, then you add 19 hrs to 8 O'clock you will get 3'o clock.
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14 Oct 2008, 09:54
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12,000 hrs is a multiple of 12 hrs which will put us at 8 oclock again, minus 5 hrs and we are at 3 oclock
Re: ps clock   [#permalink] 14 Oct 2008, 09:54
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