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I need help on 1 number properties question

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I need help on 1 number properties question [#permalink]

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New post 30 Oct 2017, 05:49
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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?

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Joined: 02 Aug 2009
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I need help on 1 number properties question [#permalink]

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New post 30 Oct 2017, 05:56
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very_nice wrote:
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?


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
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Re: I need help on 1 number properties question [#permalink]

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New post 30 Oct 2017, 09:12
very_nice wrote:
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?


Discussed here: https://gmatclub.com/forum/a-wire-is-cu ... 09445.html
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Re: I need help on 1 number properties question   [#permalink] 30 Oct 2017, 09:12
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