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If a rope is cut into three pieces of unequal length

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If a rope is cut into three pieces of unequal length [#permalink]

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New post 31 Aug 2003, 16:21
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76% (00:59) correct 24% (01:11) wrong based on 224 sessions

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If a rope is cut into three pieces of unequal length, what is the length of these pieces of rope?

(1) The combined length of the two longer pieces is 12 meters.

(2) The combined of the two shorter pieces is 11 meters.
[Reveal] Spoiler: OA

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Re: If a rope is cut into three pieces of unequal length [#permalink]

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New post 31 Aug 2003, 18:43
I got E. I don't see how you could know from the info provided and considering the fact that the peices are not perfect integer lengths.

What is the answer?

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Re: If a rope is cut into three pieces of unequal length [#permalink]

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New post 07 Sep 2003, 19:53
mciatto wrote:
This is from GMAT+, I can't get the answer that they provide...

If a rope is cut into three pieces of unequal length, what is the length of these pieces of rope?

I. The combined length of the two longer pieces is 12 meters.

II. The combined of the two shorter pieces is 11 meters.

Please explain as well.



Just a correction. I think it asks to find the length of shortest piece. It's problem 7 of section 2, right?

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Re: If a rope is cut into three pieces of unequal length [#permalink]

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New post 22 Aug 2014, 02:51
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If a rope is cut into three pieces of unequal length, what is the length of the shortest of these pieces of rope?
(1) The combined length of the longer two pieces of rope is 12 meters.
(2) The combined length of the shorter two pieces of rope is 11 meters.

Explanation:

I think the question is little ambiguity,

It is understood the question can not be solved by individual statements.

Let us combine both the statements and see....

According to the date S + M + L = Total length (T), shortest (S), largest (L), Middle (M)

(1) The combined length of the longer two pieces of rope is 12 meters. i.e., M + L = 12
(2) The combined length of the shorter two pieces of rope is 11 meters. i.e., S + M = 11

If we subtract both we get L - S = 1, that is the longest of the three is 1 greater than the shortest of the three ( L = S + 1 )

Now if S + M = 11 and M + L = 12, then 5.1 + 5.9 = 11 and 5.9 + 6.1 = 12 , and 5.1 + 5.9 + 6.1 = T ( 17.1) , here the greatest number is 1 greater than the least number, and the total value is 17.1

But 5.2 + 5.8 = 11 and 5.8 + 6.2 = 12 , and 5.2 + 5.8 + 6.2 = T ( 17.2) , here the greatest number is 1 greater than the least number, and the total value is 17.2

We can also check few more decimal values 5.01 + 5.99 = 11 and 5.99 + 6.01 = 12 , and 5.01 + 5.99 + 6.01 = T ( 17.01) , here the greatest number is 1 greater than the least number, and the total value is 17.01.


In the above three cases the lease value could be 5.2, 5.1, 5.01,..... and many more,
so we can not determine the least value as the total is not defined.

The correct answer is E.

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Re: If a rope is cut into three pieces of unequal length [#permalink]

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New post 31 Mar 2016, 16:28
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Re: If a rope is cut into three pieces of unequal length [#permalink]

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New post 06 Aug 2017, 20:41
can't you just take a look here and notice: i have 3 variables, but only 2 (different) equations. therefore, automatically "E"?

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Re: If a rope is cut into three pieces of unequal length   [#permalink] 06 Aug 2017, 20:41
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