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Manager  Joined: 10 Jun 2003
Posts: 181
Location: Maryland
If a rope is cut into three pieces of unequal length, what is the leng  [#permalink]

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Difficulty:   5% (low)

Question Stats: 81% (01:19) correct 19% (01:29) wrong based on 409 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.

Project DS Butler: Day 12: Data Sufficiency (DS24)

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Intern  Joined: 17 Aug 2003
Posts: 36
Location: USA
Re: If a rope is cut into three pieces of unequal length, what is the leng  [#permalink]

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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?
Manager  Joined: 26 Aug 2003
Posts: 195
Location: United States
Re: If a rope is cut into three pieces of unequal length, what is the leng  [#permalink]

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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?
Intern  Joined: 26 Jan 2013
Posts: 4
Re: If a rope is cut into three pieces of unequal length, what is the leng  [#permalink]

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1
1
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, what is the leng  [#permalink]

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1
can't you just take a look here and notice: i have 3 variables, but only 2 (different) equations. therefore, automatically "E"?
Senior PS Moderator D
Status: It always seems impossible until it's done.
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GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: If a rope is cut into three pieces of unequal length, what is the leng  [#permalink]

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Three pieces are of unequal length. We need to find the sum of lengths of all the pieces.

(1) Insufficient as length of third piece is unknown.

(2) Insufficient for same reason as above.

(1) + (2) together: At first glance looks like two equations and two unknowns but on solving...
Lets say L, M , S are the three pieces,

L + M = 12
M + S = 11

L - S = 1
L = S + 1
If we substitute either L or S above, we just get the other equation.

Again, we cannot solve this as no further info is available.

Hence Option (E) is correct.

Best,

gmatbusters wrote:

Project DS Butler: Day 12: Data Sufficiency (DS24)

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.

_________________
Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
VP  D
Joined: 09 Mar 2016
Posts: 1230
Re: If a rope is cut into three pieces of unequal length, what is the leng  [#permalink]

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gmatbusters wrote:

Project DS Butler: Day 12: Data Sufficiency (DS24)

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.

Good evening gmatbusters , i think you omitted word "length" in statement TWO. VP  D
Joined: 09 Mar 2016
Posts: 1230
If a rope is cut into three pieces of unequal length, what is the leng  [#permalink]

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gmatbusters wrote:

Project DS Butler: Day 12: Data Sufficiency (DS24)

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.

statement one: the length of the two longer pieces could be 5 and 7 or 4 and 8 INSUFFICIENT

statement two: the length of the two shorter pieces could be 3 and 8 INSUFFICIENT

COMBINING BOTH STILL INSUFFICIENT

E Manager  S
Joined: 21 Jul 2018
Posts: 186
Re: If a rope is cut into three pieces of unequal length, what is the leng  [#permalink]

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LakerFan24 wrote:
can't you just take a look here and notice: i have 3 variables, but only 2 (different) equations. therefore, automatically "E"?

Hi LakerFan24

I thought the same and selected option E, but sometime in GMAT they make options with such twist that we can find answer in same kind situations we had in this question. Like ans might would have been possible if question would have said length of all 3 pieces were in sequence.
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Please let me know if I'm wrong somewhere and help me to learn  Re: If a rope is cut into three pieces of unequal length, what is the leng   [#permalink] 14 Jan 2019, 07:04
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