Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49915

In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
14 Feb 2014, 01:56
Question Stats:
57% (01:45) correct 43% (02:13) wrong based on 734 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionIn the figure above, segments RS and TU represent two positions of the same ladder leaning against the side SV of a wall. The length of TV is how much greater than the length of RV? (1) The length of TU is 10 meters. (2) The length of RV is 5 meters. Data Sufficiency Question: 91 Category: Geometry Triangles Page: 159 Difficulty: 650 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! Attachment:
Untitled.png [ 35.11 KiB  Viewed 7953 times ]
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Math Expert
Joined: 02 Sep 2009
Posts: 49915

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
14 Feb 2014, 01:57
MUST KNOW FOR THE GMAT: • A right triangle where the angles are 30°, 60°, and 90°.This is one of the 'standard' triangles you should be able recognize on sight. A fact you should commit to memory is: The sides are always in the ratio \(1 : \sqrt{3}: 2\). Notice that the smallest side (1) is opposite the smallest angle (30°), and the longest side (2) is opposite the largest angle (90°). • A right triangle where the angles are 45°, 45°, and 90°. This is one of the 'standard' triangles you should be able recognize on sight. A fact you should also commit to memory is: The sides are always in the ratio \(1 : 1 : \sqrt{2}\). With the \(\sqrt{2}\) being the hypotenuse (longest side). This can be derived from Pythagoras' Theorem. Because the base angles are the same (both 45°) the two legs are equal and so the triangle is also isosceles. BACK TO THE ORIGINAL QUESTION: In the figure above, segments RS and TU represent two positions of the same ladder leaning against the side SV of a wall. The length of TV is how much greater than Length of RV?Given: RS=TU. Question: TVRV=? Now, according to the properties above if we knew RS (or which is the same TU), then we would be able to find ANY line segment in the given figure: RS would give us RV and SV, while TU would give us TV and UV. Thus knowing RS/TU would be sufficient to get the value of TVRV. If we knew RV: we could get RS (or which is the same TU) and would have the same exact case as above. (1) The length of TU is 10 meters. Sufficient. (2) The length of RV is 5 meters. Sufficient. Answer: D. Similar questions to practice: aladder25feetlongisleaningagainstawallthatis130364.htmlinthefigureabovesegmentsrsandturepresenttwo140752.html
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 04 Jan 2014
Posts: 118
GMAT 1: 660 Q48 V32 GMAT 2: 630 Q48 V28 GMAT 3: 680 Q48 V35

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
14 Feb 2014, 03:03
St1: The length of TU is 10 meters. Sufficient.
Triangle TUV is a 454590 triangle. The sides are in the ratio of 1:1:root 2. We can calculate the length of TV. Since the stem mentions TU and RS are the same ladder, RS = 10. Now, triangle RSV is a 306090 triangle. The sides are in the ratio of 1:root 3:2. We can calculate the length of RV.
St2: The length of RV is 5 meters. Sufficient. Applying same concept as statement 1, we can find TV.
Answer (D).



Manager
Joined: 20 Dec 2013
Posts: 238
Location: India

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
16 Feb 2014, 03:19
Option D.Each is sufficient. Using basic trigo: From S1: TU=RS=10 mts. cos 45=TV/TU (cos 45=1/sqrt2 and TU=10) We can find TV And cos 60=RV/RS (cos 60=1/2 and RS=10 We can find RV The diff can be found out.Sufficient.
From S2: RV=5 We can find RS and TU by the same trigo formulacos (angle)=Base/Hypotenuse Then the diff between TV and RV can be found out.Sufficient.



Math Expert
Joined: 02 Sep 2009
Posts: 49915

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
17 Feb 2014, 03:01
MUST KNOW FOR THE GMAT: • A right triangle where the angles are 30°, 60°, and 90°.This is one of the 'standard' triangles you should be able recognize on sight. A fact you should commit to memory is: The sides are always in the ratio \(1 : \sqrt{3}: 2\). Notice that the smallest side (1) is opposite the smallest angle (30°), and the longest side (2) is opposite the largest angle (90°). • A right triangle where the angles are 45°, 45°, and 90°. This is one of the 'standard' triangles you should be able recognize on sight. A fact you should also commit to memory is: The sides are always in the ratio \(1 : 1 : \sqrt{2}\). With the \(\sqrt{2}\) being the hypotenuse (longest side). This can be derived from Pythagoras' Theorem. Because the base angles are the same (both 45°) the two legs are equal and so the triangle is also isosceles. BACK TO THE ORIGINAL QUESTION: In the figure above, segments RS and TU represent two positions of the same ladder leaning against the side SV of a wall. The length of TV is how much greater than Length of RV?Given: RS=TU. Question: TVRV=? Now, according to the properties above if we knew RS (or which is the same TU), then we would be able to find ANY line segment in the given figure: RS would give us RV and SV, while TU would give us TV and UV. Thus knowing RS/TU would be sufficient to get the value of TVRV. If we knew RV: we could get RS (or which is the same TU) and would have the same exact case as above. (1) The length of TU is 10 meters. Sufficient. (2) The length of RV is 5 meters. Sufficient. Answer: D. Similar questions to practice: aladder25feetlongisleaningagainstawallthatis130364.htmlinthefigureabovesegmentsrsandturepresenttwo140752.html
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12660
Location: United States (CA)

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
21 Feb 2015, 18:12
HI All, This is a great "pattern matching" question, in that if you recognize what you're looking at, you won't need to do ANY math to get to the correct answer. It doesn't take much to recognize the 30/60/90 and 45/45/90 right triangles in the drawing. The "key" to the shortcut is that we're told that that RS and TU are the SAME length  in math terms, this means that the hypotenuse of those two triangles is the SAME. By extension, if you know the length of ANY of the sides in EITHER of the triangles, then you can figure out EVERY side length in that drawing. If you recognize this pattern, then dealing with the two Facts won't take much time or effort at all. As an aside on the prior post in this thread, the GMAT will NEVER ask you a question that requires Trigonometry to solve it, so you do NOT need to know any Trig rules for this test. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****



Director
Joined: 10 Mar 2013
Posts: 519
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
12 Jul 2015, 02:38
The most important point is here the word "THE SAME LADDER !!!"  missed it at the begining, but then could easily solve.. all other things in this question are just using known formulas for two particular triangles.
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660



Board of Directors
Joined: 17 Jul 2014
Posts: 2654
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
08 Dec 2015, 18:52
I did a crucial mistake, and forgot to take into consideration that TS = RU. Clearly, D is the correct answer. with each statement, we can find the lengths of the legs/hypotenuse, and thus find the TR...



Intern
Joined: 10 Aug 2015
Posts: 32
Location: India
GPA: 3.5
WE: Consulting (Computer Software)

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
03 May 2016, 00:46
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionAttachment: Untitled.png In the figure above, segments RS and TU represent two positions of the same ladder leaning against the side SV of a wall. The length of TV is how much greater than the length of RV? (1) The length of TU is 10 meters. (2) The length of RV is 5 meters. Data Sufficiency Question: 91 Category: Geometry Triangles Page: 159 Difficulty: 650 This question is one of the finest example of C trap. But remember for a 306090(1:\sqrt{3}:2) and 454590(1:1:\sqrt{2}) right angle triangle, knowing any side is sufficient to find other side. And length of ladder will be same no matter what position or what angle we put it. Essentially we have 2 right triangles with equal hypotenuse. Statement 1&2 both give us mease of one side so we can find the measure of all the sides. Answer is D.



Intern
Joined: 11 Nov 2014
Posts: 36
Concentration: Marketing, Finance
WE: Programming (Computer Software)

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
10 May 2016, 08:56
Correct me if I am wrong.
Attachments
File comment: Solution attached.
New Doc_1.jpg [ 743.46 KiB  Viewed 3740 times ]



Manager
Joined: 10 Sep 2014
Posts: 84

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
14 Mar 2018, 03:02
How have we determined that RS=TU? Bunuel



Math Expert
Joined: 02 Sep 2009
Posts: 49915

Re: In the figure above, segments RS and TU represent two positions of the
[#permalink]
Show Tags
14 Mar 2018, 03:06




Re: In the figure above, segments RS and TU represent two positions of the &nbs
[#permalink]
14 Mar 2018, 03:06






