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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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New post 06 Oct 2009, 03:46
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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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New post 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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New post 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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New post 06 Oct 2009, 15:15
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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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New post 06 Oct 2009, 15:26
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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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New post 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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New post 19 Jul 2014, 00:46
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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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New post 19 Jul 2014, 02:10
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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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New post 03 Sep 2015, 19:38
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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New post 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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Re: If n is a non-negative integer such that 6^n is a divisor of [#permalink]

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New post 27 Aug 2017, 16:13
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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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New post 31 Aug 2017, 10:25
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


Since 5,178,791 is odd, it is not divisible by 6^n (which is an even number), except when n = 0.

Therefore, 0^6 - 6^0 = 0 - 1 = -1.

Answer: B
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Re: If n is a non-negative integer such that 6^n is a divisor of   [#permalink] 31 Aug 2017, 10:25
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