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In triangle XYZ, whatis the length of YZ?

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In triangle XYZ, whatis the length of YZ? [#permalink] New post 29 Jan 2014, 01:19
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88% (01:36) correct 13% (00:21) wrong based on 97 sessions
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In triangle XYZ, whatis the length of YZ?

(1) The length of XY is 3.
(2) The length of XZ is 5.

Data Sufficiency
Question: 65
Category: Geometry Triangles
Page: 157
Difficulty: 600


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Re: In triangle XYZ, whatis the length of YZ? [#permalink] New post 29 Jan 2014, 01:20
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SOLUTION

In triangle XYZ, whatis the length of YZ?

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

(1) The length of XY is 3. Not sufficient.
(2) The length of XZ is 5. Not sufficient.

(1)+(2) (5-3) < YZ < (5+3) --> 2 < YZ < 8. Not sufficient.

Answer: E.
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Re: In triangle XYZ, whatis the length of YZ? [#permalink] New post 29 Jan 2014, 02:02
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In triangle XYZ, whatis the length of YZ?

(1) The length of XY is 3.
(2) The length of XZ is 5.


Thank you![/textarea]


IMO: D

taking only A, not sufficient because only one side is known
taking only B , insufficient since only one side is known

combining both together , sufficiant because it forms a triplet and the third side = 4
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Re: In triangle XYZ, whatis the length of YZ? [#permalink] New post 29 Jan 2014, 02:12
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From S1:knowing length of one side is not sufficient to determine length of others in a triangle unless it is of a particular type.
From S2:Sam explanation.Insuffficient.
Combining the two we could have the third side as 3,4,5,6,7(sum of two sides in a triangle always greater than third) but no single length can be known.
Ans.E
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Re: In triangle XYZ, whatis the length of YZ? [#permalink] New post 29 Jan 2014, 22:31
Statement 1: From length XY = 3, we cannot determine the length of YZ; Not Sufficient.
Statement 2: From lenth XZ = 5, we cannot determine the length of YZ; Not Sufficient.

Combining both statements, we still cannot definitely find a value for YZ as the length of YZ could be any integer from 3 to 7. Do not assume that YZ will be 4, as nowhere has it been stated that the triangle is a right angled triangle.

Ans is (E).
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Re: In triangle XYZ, whatis the length of YZ? [#permalink] New post 29 Jan 2014, 22:58
Straight (E).
Exactly as nutshell explained.
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Re: In triangle XYZ, whatis the length of YZ? [#permalink] New post 01 Feb 2014, 09:12
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SOLUTION

In triangle XYZ, whatis the length of YZ?

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

(1) The length of XY is 3. Not sufficient.
(2) The length of XZ is 5. Not sufficient.

(1)+(2) (5-3) < YZ < (5+3) --> 2 < YZ < 8. Not sufficient.

Answer: E.
_________________

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: In triangle XYZ, whatis the length of YZ?   [#permalink] 01 Feb 2014, 09:12
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