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If n is a non-negative integer such that 12^n is a divisor

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Senior Manager
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If n is a non-negative integer such that 12^n is a divisor [#permalink] New post 16 Jun 2007, 20:00
If n is a non-negative integer such that 12^n is a divisor of 3,176,793, what is the value of n^12 – 12^n ?
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Re: numbers problem [#permalink] New post 16 Jun 2007, 20:32
ArvGMAT wrote:
If n is a non-negative integer such that 12^n is a divisor of 3,176,793, what is the value of n^12 – 12^n ?


the question is wrong because n is a non-negative integer, 3,176,793 is an odd integer/number and 12^n is an even integer. no matter the value of n, 12^n can not be a divisor of 3,176,793.
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 [#permalink] New post 16 Jun 2007, 20:51
ArvGMAT wrote:
If n is a non-negative integer such that 12^n is a divisor of 3,176,793, what is the value of n^12 – 12^n ?


the question is wrong because n is a non-negative integer, 3,176,793 is an odd integer/number and 12^n is an even integer. no matter the value of n, 12^n can not be a divisor of 3,176,793.


First of all, Question is Right

n^12-12^n = -1

only number that satisfies this is n = 0 (which is non-negative integer)

12^0 = 1 which divides the large number
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Re: numbers problem [#permalink] New post 16 Jun 2007, 20:56
Himalayan wrote:
ArvGMAT wrote:
If n is a non-negative integer such that 12^n is a divisor of 3,176,793, what is the value of n^12 – 12^n ?


the question is wrong because n is a non-negative integer, 3,176,793 is an odd integer/number and 12^n is an even integer. no matter the value of n, 12^n can not be a divisor of 3,176,793.



Nice catch himalayan..
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 [#permalink] New post 17 Jun 2007, 11:45
ArvGMAT wrote:
ArvGMAT wrote:
If n is a non-negative integer such that 12^n is a divisor of 3,176,793, what is the value of n^12 – 12^n ?


the question is wrong because n is a non-negative integer, 3,176,793 is an odd integer/number and 12^n is an even integer. no matter the value of n, 12^n can not be a divisor of 3,176,793.


First of all, Question is Right

n^12-12^n = -1

only number that satisfies this is n = 0 (which is non-negative integer)

12^0 = 1 which divides the large number



interesting and make sense.

if you include the answer choices, would be much easier.
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 [#permalink] New post 18 Jun 2007, 07:59
Yeah... there was a reason i did not include it. It becomes obvious if it were included.
  [#permalink] 18 Jun 2007, 07:59
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