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30 Oct 2017, 06:49
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The first question is:
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?
A. 24
B. 36
C. 48
D. 54
E. 72
The answer is E. 72=3*24; LCM of 4,6 and 8
Can anybody explain why I can solve this problem by calculating the LCM of 4, 6 and 8?
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?
A. 24
B. 36
C. 48
D. 54
E. 72
The answer is E. 72=3*24; LCM of 4,6 and 8
Can anybody explain why I can solve this problem by calculating the LCM of 4, 6 and 8?
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
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30 Oct 2017, 06:56
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HI..
your Q must have already been discussed, BUT it seems you know how the answer comes and need to know WHY?
so the reason is..
the first is being cut in lengths of 4, so its length can be 4,8,12,16,20,24,28 ... basically that comes in table of 4
the second is being cut in lengths of 6, so its length can be 6,12,18,24,...... basically that comes in table of 6
the third is being cut in lengths of 8, so its length can be 8,16,24,32... ... basically that comes in table of 8
but all lengths are EQUAL....
so that equal will be something that comes in tables of 4,6,8 and the lowest of these is nothing but LCM
I will be merging this with already discussed Q
https://gmatclub.com/forum/a-wire-is-cut-into-three-equal-parts-the-resulting-segments-are-then-209445.html
30 Oct 2017, 10:12
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very_nice
Discussed here: a-wire-is-cut-into-three-equal-parts-the-resulting-segments-are-then-209445.html
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
