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If k is an non-negative integer and 15^k is a divisor of 759

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If k is an non-negative integer and 15^k is a divisor of 759  [#permalink]

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New post Updated on: 27 Oct 2010, 14:59
5
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (01:05) correct 30% (01:08) wrong based on 133 sessions

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If k is an non-negative integer and 15^k is a divisor of 759,325 then \(3^k - k^3\) =

A. 0
B. 1
C. 37
D. 118
E. 513

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Originally posted by shrive555 on 26 Oct 2010, 21:26.
Last edited by shrive555 on 27 Oct 2010, 14:59, edited 2 times in total.
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Re: Number properties5  [#permalink]

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New post 26 Oct 2010, 23:10
Please take care in posting the question correctly

Note that 759325 is not divisible by 3, hence no divisible by 15 either. So the only way 15^k where k is an integer might divide this number is if k=0. Plug that in to get answer as 3^0-0^3 or 1.

Answer : (b)

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Re: Number properties5  [#permalink]

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New post 27 Oct 2010, 06:03
1
Quote:
If k is an non-negative integer and 15k is a divisor of 759,325 then


shrouded1 wrote:
Please take care in posting the question correctly

Note that 759325 is not divisible by 3, hence no divisible by 15 either. So the only way 15k where k is an integer might divide this number is if k=0.


The question and solution still aren't right. 15k simply cannot divide 759,325 no matter what integer value k takes, because 759,325 is not divisible by 3. k certainly cannot be zero, since zero is not a divisor of anything. So as written, the question doesn't make sense.

Surely it's supposed to read:

If k is an non-negative integer and \(15^k\) is a divisor of 759,325 then ...

Then k must be zero.
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Re: Number properties5  [#permalink]

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New post 27 Oct 2010, 15:01
IanStewart : +1 You are absolutely right. i guess i posted "A" in my OA.
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Re: Number properties5  [#permalink]

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New post 27 Oct 2010, 15:35
If k=0 then the value of 3^k - k^3 is 1. Because 3^0=1. So, the answer should be B.

P.S.Considering ^ as an exponent.
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Re: Number properties5  [#permalink]

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New post 27 Oct 2010, 16:34
:oops: :oops: :oops: My Bad !!! Mixed up 15^k with 15k

Thanks shrouded :oops:
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Re: Number properties5  [#permalink]

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New post 28 Oct 2010, 06:48
IanStewart wrote:
Quote:
If k is an non-negative integer and 15k is a divisor of 759,325 then


shrouded1 wrote:
Please take care in posting the question correctly

Note that 759325 is not divisible by 3, hence no divisible by 15 either. So the only way 15k where k is an integer might divide this number is if k=0.


The question and solution still aren't right. 15k simply cannot divide 759,325 no matter what integer value k takes, because 759,325 is not divisible by 3. k certainly cannot be zero, since zero is not a divisor of anything. So as written, the question doesn't make sense.

Surely it's supposed to read:

If k is an non-negative integer and \(15^k\) is a divisor of 759,325 then ...

Then k must be zero.


Similar question: divisor-of-101264.html
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Re: If k is an non-negative integer and 15^k is a divisor of 759  [#permalink]

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Re: If k is an non-negative integer and 15^k is a divisor of 759 &nbs [#permalink] 23 Nov 2018, 14:31
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