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A wire is cut into three equal parts. The resulting segments [#permalink]
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. src: orbit test prep




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Re: A wire is cut into three equal parts. The resulting segments [#permalink]
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]
17 May 2018, 21:52
Someone explain? And the question too please. What is an 'integer' length?



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Re: A wire is cut into three equal parts. The resulting segments [#permalink]
17 May 2018, 22:11
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Integer is a fundamental concept in GRE. Refer to https://greprepclub.com/forum/mathlessoninteger2620.htmlThe 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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Re: A wire is cut into three equal parts. The resulting segments [#permalink]
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. src: orbit test prep Answer is 72 3 equal parts must be =24,24,24



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Re: A wire is cut into three equal parts. The resulting segments [#permalink]
14 Dec 2018, 19:22
mohan514 wrote: LCM of 4, 6 and 8 multiplied with 3.
Least common multiple as this would give the value in whole number. Why are we using the least common multiple? Can someone explain in more depth?



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Re: A wire is cut into three equal parts. The resulting segments [#permalink]
17 Dec 2018, 12:45
adeel wrote: 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. src: orbit test prep Answer is 72 3 equal parts must be =24,24,24 Why 24?



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Re: A wire is cut into three equal parts. The resulting segments [#permalink]
07 Feb 2019, 08:05
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Let N be the length of the wire Since the wire is cut into 3 equal parts So N/3, N/3, N/3 are the 1st partitions Again, The resulting segments are divided into 4,6,8 parts respectively Let x, y, z be the length of the each 4,6,8 segment partition respectively From the given data, 4x+6y+8z=N Also, 4x = 6y = 8z = N/3 Then 3*4x=N implies x= N/12, y = N/18, z= N/24, Also x,y,z must be integers We have to take LCM of (12,18,24) = 72 which is the possible value of N




Re: A wire is cut into three equal parts. The resulting segments
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07 Feb 2019, 08:05





