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A wire is cut into three equal parts. The resulting segments

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Director
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A wire is cut into three equal parts. The resulting segments [#permalink] New post 10 May 2018, 18:00
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A wire is cut into three equal parts. The resulting segments are then cut into 4,6, and 8 equal parts respectively. If each of the resulting segments has an integer length, what is the minimum length of the wire.


[Reveal] Spoiler:
72


src: orbit test prep
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Manager
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Re: A wire is cut into three equal parts. The resulting segments [#permalink] New post 11 May 2018, 04:34
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LCM of 4, 6 and 8 multiplied with 3.

Least common multiple as this would give the value in whole number.
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Re: A wire is cut into three equal parts. The resulting segments [#permalink] New post 17 May 2018, 21:52
Someone explain? And the question too please. What is an 'integer' length?
Director
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Re: A wire is cut into three equal parts. The resulting segments [#permalink] New post 17 May 2018, 22:11
Integer is a fundamental concept in GRE. Refer to https://greprepclub.com/forum/math-lesson-integer-2620.html

The question tells us that a given wire is equally cut into three parts and each of those three parts are further cut into 4,6 and 8 parts. We are required to find the original length of the wire if each of those parts is a +ve integer.
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

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Re: A wire is cut into three equal parts. The resulting segments [#permalink] New post 01 Jul 2018, 20:33
amorphous wrote:
A wire is cut into three equal parts. The resulting segments are then cut into 4,6, and 8 equal parts respectively. If each of the resulting segments has an integer length, what is the minimum length of the wire.


[Reveal] Spoiler:
72


src: orbit test prep


Answer is 72
3 equal parts must be =24,24,24
Re: A wire is cut into three equal parts. The resulting segments   [#permalink] 01 Jul 2018, 20:33
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A wire is cut into three equal parts. The resulting segments

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