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# If n is a non-negative integer such that 6^n is a divisor of

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If n is a non-negative integer such that 6^n is a divisor of [#permalink]

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06 Oct 2009, 03:46
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66% (02:02) correct 34% (01:42) wrong based on 486 sessions

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If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11
[Reveal] Spoiler: OA

Last edited by yangsta8 on 06 Oct 2009, 15:24, edited 2 times in total.
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Re: Number Properties, Divisors [#permalink]

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06 Oct 2009, 07:55
seems to be an error in the question
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Re: Number Properties, Divisors [#permalink]

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06 Oct 2009, 14:35
Sorry, have fixed it now

Posted from my mobile device
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Re: Number Properties, Divisors [#permalink]

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06 Oct 2009, 15:15
7
KUDOS
Expert's post
yangsta8 wrote:
Sorry, have fixed it now

Posted from my mobile device

Was not able to read the Q. Does it states:

"If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6-6^n?"

If so, than it's not hard one.

6^n is a divisor of 5,178,791 --> as far as n is non-negative integer (given) the only value of n is 0 (5,178,791 is not even, thus it can not be divided by 6 in any power but 0)

n=0
0^6-6^0=-1
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Re: Number Properties, Divisors [#permalink]

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06 Oct 2009, 15:26
1
KUDOS
Bunuel wrote:
yangsta8 wrote:
Sorry, have fixed it now

Posted from my mobile device

Was not able to read the Q. Does it states:

"If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6-6^n?"

If so, than it's not hard one.

6^n is a divisor of 5,178,791 --> as far as n is non-negative integer (given) the only value of n is 0 (5,178,791 is not even, thus it can not be divided by 6 in any power but 0)

n=0
0^6-6^0=-1

Apologies... not quite sure what went wrong. Removed the tags ... and yes thats what it asks.

Nice solution. Answer is correct.
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Re: Number Properties, Divisors [#permalink]

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06 Oct 2009, 17:19
Thanks Bunnel! +1 Kudos for you!
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Re: If n is a non-negative integer such that 6^n is a divisor of [#permalink]

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19 Jul 2014, 00:46
Hello from the GMAT Club BumpBot!

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Re: If n is a non-negative integer such that 6^n is a divisor of [#permalink]

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19 Jul 2014, 02:10
1
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yangsta8 wrote:
If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11

Let us say that n = 0 then 6^0 = 1 which is a divisor of any number.

Now the question is asking the value of 0^6 - 6^0 = -1
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Re: If n is a non-negative integer such that 6^n is a divisor of [#permalink]

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03 Sep 2015, 19:38
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If n is a non-negative integer such that 6^n is a divisor of [#permalink]

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14 Dec 2015, 03:47
Dear Bunuel/Others

When its 'non-negative' in the question ; dosent this mean '0' or other positive values?
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Re: If n is a non-negative integer such that 6^n is a divisor of [#permalink]

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14 Dec 2015, 04:51
seemachandran wrote:
Dear Bunuel/Others

When its 'non-negative' in the question ; dosent this mean '0' or other positive values?

Yes, non-negative numbers include 0 and positive numbers.
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Re: If n is a non-negative integer such that 6^n is a divisor of   [#permalink] 14 Dec 2015, 04:51
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# If n is a non-negative integer such that 6^n is a divisor of

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