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If a wire 27 meters long is cut into three pieces of three

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If a wire 27 meters long is cut into three pieces of three [#permalink] New post 01 Feb 2012, 07:05
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A
B
C
D
E

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70% (01:43) correct 30% (00:09) wrong based on 20 sessions
If a wire 27 meters long is cut into three pieces of three different lengths, what is the length of the longest piece?

(1) The length of the longest piece is twice the length of the shortest piece
(2) The sum of the length of the two shorter pieces is 15 meters
[Reveal] Spoiler: OA

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Re: aritnmetic [#permalink] New post 01 Feb 2012, 07:17
Let S = shortest piece, M = middle piece, and L = longest piece. The stem says that S + M + L = 27 meters.

(1) INSUFFICIENT. The statement says L = 2S. However, the statement says nothing about the length of M. As a result, more than one solution is possible. For example, if S = 6, then L = 12 and M = 9. Or, if S = 5.5, then L = 11 and M = 10.5.

(2) SUFFICIENT. This statement says S + M = 15. If you substitute this equation into the original equation provided in the stem, you have:
S + M + L = 27 (original equation)
15 + L = 27 (substitute 15 for "S + M")
L = 12 (subtract 15 from both sides)

Answer: B
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Re: If a wire 27 meters long is cut into three pieces of three [#permalink] New post 01 Feb 2012, 10:00
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If a wire 27 meters long is cut into three pieces of three different lengths, what is the length of the longest piece?

Actually one can solve the question without any formula.

(1) The length of the longest piece is twice the length of the shortest piece --> 6+8+12=27 or 5.5+10.5+11=27. Not sufficient.

(2) The sum of the length of the two shorter pieces is 15 meters --> if the sum of the two shorter pieces is 15 meters then longest piece must be 27-15=12. Sufficient.

Answer: B.
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Re: If a wire 27 meters long is cut into three pieces of three [#permalink] New post 01 Feb 2012, 15:08
Bunuel wrote:
If a wire 27 meters long is cut into three pieces of three different lengths, what is the length of the longest piece?

Actually one can solve the question without any formula.

(1) The length of the longest piece is twice the length of the shortest piece --> 6+8+12=27 or 5.5+10.5+11=27. Not sufficient.

(2) The sum of the length of the two shorter pieces is 15 meters --> if the sum of the two shorter pieces is 15 meters then longest piece must be 27-15=12. Sufficient.

Answer: B.


Hi Bunnel

I too came up with same solution

But From 2

we know that all three have different lengths and we now know that one of the lengths is 12 and sum of the other two lengths is 15, but now when you consider all 3 lengths they can be

11,3,12--------->Length of longest piece is 12
14,1,12----------->Length of longest piece is 14
13,2,12----------->Length of longest piece is 13

So we do not get a unique solution, so i marked C.......Plz correct me if i am wrong

Thanks in advance
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Re: If a wire 27 meters long is cut into three pieces of three [#permalink] New post 01 Feb 2012, 15:15
Expert's post
kotela wrote:
Bunuel wrote:
If a wire 27 meters long is cut into three pieces of three different lengths, what is the length of the longest piece?

Actually one can solve the question without any formula.

(1) The length of the longest piece is twice the length of the shortest piece --> 6+8+12=27 or 5.5+10.5+11=27. Not sufficient.

(2) The sum of the length of the two shorter pieces is 15 meters --> if the sum of the two shorter pieces is 15 meters then longest piece must be 27-15=12. Sufficient.

Answer: B.


Hi Bunnel

I too came up with same solution

But From 2

we know that all three have different lengths and we now know that one of the lengths is 12 and sum of the other two lengths is 15, but now when you consider all 3 lengths they can be

11,3,12--------->Length of longest piece is 12
14,1,12----------->Length of longest piece is 14
13,2,12----------->Length of longest piece is 13

So we do not get a unique solution, so i marked C.......Plz correct me if i am wrong

Thanks in advance


Look at the red part. (2) states this in a different way: The sum of the length of the two SHORTER pieces is 15 meters, so the third one left must be the longest piece.

Does that make sense?
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

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RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If a wire 27 meters long is cut into three pieces of three [#permalink] New post 01 Feb 2012, 17:18
Bunuel wrote:
kotela wrote:
Bunuel wrote:
If a wire 27 meters long is cut into three pieces of three different lengths, what is the length of the longest piece?

Actually one can solve the question without any formula.

(1) The length of the longest piece is twice the length of the shortest piece --> 6+8+12=27 or 5.5+10.5+11=27. Not sufficient.

(2) The sum of the length of the two shorter pieces is 15 meters --> if the sum of the two shorter pieces is 15 meters then longest piece must be 27-15=12. Sufficient.

Answer: B.


Hi Bunnel

I too came up with same solution

But From 2

we know that all three have different lengths and we now know that one of the lengths is 12 and sum of the other two lengths is 15, but now when you consider all 3 lengths they can be

11,3,12--------->Length of longest piece is 12
14,1,12----------->Length of longest piece is 14
13,2,12----------->Length of longest piece is 13

So we do not get a unique solution, so i marked C.......Plz correct me if i am wrong

Thanks in advance


Look at the red part. (2) states this in a different way: The sum of the length of the two SHORTER pieces is 15 meters, so the third one left must be the longest piece.

Does that make sense?


Thanks Bunnel it makes sense

I always make silly mistakes...when i review i almost crack every problem,the problem with me is i am unable to do it during the exam time......Any suggestion please
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Re: If a wire 27 meters long is cut into three pieces of three [#permalink] New post 01 Feb 2012, 17:22
Expert's post
kotela wrote:
Thanks Bunnel it makes sense

I always make silly mistakes...when i review i almost crack every problem,the problem with me is i am unable to do it during the exam time......Any suggestion please


We all do from time to time. It will pass with practice. Just keep paying attention to all the words in the stem/statements. The GMAT questions are very well written and every word has its purpose.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If a wire 27 meters long is cut into three pieces of three   [#permalink] 01 Feb 2012, 17:22
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