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in which of the following scale is the number 3120 a perfect

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in which of the following scale is the number 3120 a perfect [#permalink] New post 05 Jun 2006, 09:40
in which of the following scale is the number 3120 a perfect cube?

a.4 b.5

c.6 d. none of these[/list][/code]
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 [#permalink] New post 05 Jun 2006, 11:31
I'm not sure I understand the question.
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Re: numbers [#permalink] New post 05 Jun 2006, 17:24
yasmeen wrote:
in which of the following scale is the number 3120 a perfect cube?

a.4 b.5

c.6 d. none of these[/list][/code]


I think that question is asking if

n=4,5,6, or none

(3120)^(1/n) = an integer

My answer is D none. Although 5 comes very close.
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 [#permalink] New post 05 Jun 2006, 22:43
I think the question is asking for the base in which the number is perfect cube.
For ex. 125, 216 are perfect cube in base 10.
Similarly, converting this number (given in base-4) to number in decimal form gives us: -
4^3 * 3 + 4^2 * 1 + 4^1 * 2 + 4^0 * 0
= 192+16+8+0 = 216
which is a perfect cube. So answer is (a).

Please clarify.
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If A equals success, then the formula is: A = X + Y + Z, X is work. Y is play. Z is keep your mouth shut.
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  [#permalink] 05 Jun 2006, 22:43
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in which of the following scale is the number 3120 a perfect

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