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

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Intern
Joined: 02 Jun 2006
Posts: 28
in which of the following scale is the number 3120 a perfect [#permalink]

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05 Jun 2006, 10:40
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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]
Manager
Joined: 10 May 2006
Posts: 186
Location: USA

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05 Jun 2006, 12:31
I'm not sure I understand the question.
Manager
Joined: 19 Apr 2006
Posts: 231

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05 Jun 2006, 18:24
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.
Intern
Joined: 04 May 2006
Posts: 49

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05 Jun 2006, 23:43
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).

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05 Jun 2006, 23:43
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