Author 
Message 
TAGS:


Director
Joined: 07 Jan 2018
Posts: 644
Followers: 7
Kudos [?]:
601
[1]
, given: 88

A wire is cut into three equal parts. The resulting segments [#permalink]
10 May 2018, 18:00
1
This post received KUDOS
Question Stats:
40% (00:42) correct
60% (01:03) wrong based on 5 sessions
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




Manager
Joined: 26 Jan 2018
Posts: 186
Followers: 0
Kudos [?]:
115
[1]
, given: 3

Re: A wire is cut into three equal parts. The resulting segments [#permalink]
11 May 2018, 04:34
1
This post received KUDOS
LCM of 4, 6 and 8 multiplied with 3.
Least common multiple as this would give the value in whole number.



Manager
Joined: 27 Feb 2017
Posts: 189
Followers: 1
Kudos [?]:
53
[0], given: 15

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?



Director
Joined: 07 Jan 2018
Posts: 644
Followers: 7
Kudos [?]:
601
[1]
, given: 88

Re: A wire is cut into three equal parts. The resulting segments [#permalink]
17 May 2018, 22:11
1
This post received KUDOS
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.
_________________
This is my response to the question and may be incorrect. Feel free to rectify any mistakes



Intern
Joined: 15 May 2018
Posts: 38
Followers: 0
Kudos [?]:
5
[0], given: 1

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



Manager
Joined: 02 Dec 2018
Posts: 74
Followers: 0
Kudos [?]:
7
[0], given: 60

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?



Manager
Joined: 02 Dec 2018
Posts: 74
Followers: 0
Kudos [?]:
7
[0], given: 60

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?



Intern
Joined: 03 Feb 2019
Posts: 2
Followers: 0
Kudos [?]:
1
[1]
, given: 0

Re: A wire is cut into three equal parts. The resulting segments [#permalink]
07 Feb 2019, 08:05
1
This post received KUDOS
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
[#permalink]
07 Feb 2019, 08:05





