Find all School-related info fast with the new School-Specific MBA Forum

It is currently 19 Apr 2014, 14:27

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the figure shown, what is the value of v+x+y+z+w?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18401 [3] , given: 2350

GMAT Tests User CAT Tests
In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Jun 2012, 01:51
3
This post received
KUDOS
Expert's post
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (02:05) correct 43% (01:17) wrong based on 203 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

In the figure shown, what is the value of v+x+y+z+w?
Attachment:
Star.png
Star.png [ 9.16 KiB | Viewed 8311 times ]

(A) 45
(B) 90
(C) 180
(D) 270
(E) 360

Diagnostic Test
Question: 10
Page: 21
Difficulty: 650


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th 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!
[Reveal] Spoiler: OA

_________________

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesGMAT Pill GMAT Discount Codes
9 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18401 [9] , given: 2350

GMAT Tests User CAT Tests
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Jun 2012, 01:52
9
This post received
KUDOS
Expert's post
SOLUTION

In the figure shown, what is the value of v+x+y+z+w?
Image

(A) 45
(B) 90
(C) 180
(D) 270
(E) 360

Let's simplify the problem by imagining that we have a star that is inscribed in a circle as shown below:
Image
As we can see, 5 arcs subtended by the inscribed angles (x, y, z, w, and v) make the whole circumference. Hence the sum of the corresponding central angles must be 360 degrees, which makes the sum of the inscribed angels 360/2=180 degrees (according to the Central Angle Theorem the measure of inscribed angle is always half the measure of the central angle).

Answer: C.
_________________

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Director
Director
User avatar
Joined: 22 Mar 2011
Posts: 613
WE: Science (Education)
Followers: 63

Kudos [?]: 425 [0], given: 43

GMAT Tests User
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Jun 2012, 03:19
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

In the figure shown, what is the value of v+x+y+z+w?
Attachment:
The attachment Star.png is no longer available

(A) 45
(B) 90
(C) 180
(D) 270
(E) 360

Diagnostic Test
Question: 10
Page: 21
Difficulty: 650


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th 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!


I can suggest two solutions:

Solution A

We can compute the sum of the angles from the five triangles created on the sides of the pentagon ABCDE. In those triangles, we have five pairs of congruent angles (see them marked by colored arcs in the attached drawing). Those angles are external angles for the pentagon and their sum is 360^o. See at the end of the post the justification for the fact that in every convex polygon, the sum of the external angles is 360^o.
Therefore, v + x + y + z + w = 5 ∙ 180 – 2 ∙ 360 = 900 – 720= 180.

Solution B

Since the question is a multiple choice one, we can assume that there is one correct answer and that that answer does not depend on the shape of the “star”. Assuming that the star can be inscribed in a circle, we can see that the requested sum of the angles is 360/2 = 180, because each angle is inscribed in the circle and the five corresponding arcs complete the circle.
Remark: If one of the answers would have been “It cannot be determined” or something similar, than this argument wouldn’t work.

Correct answer: C

Sum of the external angles for a convex polygon:

We know that the sum of the interior angles in a convex polygon with n sides (n being a positive integer greater than 2) is given by the formula:
(n – 2)∙180 = 180n – 360.
Each external angle is 180 – the corresponding interior angle. Therefore, the total sum of the exterior angles is 180n – (n – 2) ∙ 180 = 180n – 180n + 360 = 360.

Note: Convex polygons have the property that each of their angles is less than 180. All the polygons dealt with on GMAT are convex (triangle, quadrilateral, pentagon, hexagon,...) or are made up of convex polygons. In this question, the figure of the star, without the sides of the small convex pentagon, is an example of a non-convex decagon: it has 10 sides, and 5 angles which are greater, and 5, which are smaller than 180.
Attachments

OG13-D10-A.png
OG13-D10-A.png [ 26.98 KiB | Viewed 8257 times ]

OG13-D10-B.png
OG13-D10-B.png [ 38.38 KiB | Viewed 8024 times ]


_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

4 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 28 Mar 2012
Posts: 280
Concentration: Entrepreneurship, Sustainability
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 13

Kudos [?]: 111 [4] , given: 23

GMAT ToolKit User GMAT Tests User
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Jun 2012, 03:23
4
This post received
KUDOS
Hi,

With reference to the attached diagram:
In triangle DFB, angle DFB = 180 - angle FDB - angle FBD
=180 - v - z

Similary, in other triangles,
angle AJC = 180 - y - w
angle EIB = 180 - x - z
angle AHD = 180 - v - y
angle EGC = 180 - x - w

Adding all, angle DFB + angle AJC + angle EIB + angle AHD +angle EGC = sum of interior angles of pentagon
=540 = 5*180 - 2(v+w+x+y+z)
so, v+w+x+y+z = 180

Answer (C)

Regards,
Attachments

angles.jpg
angles.jpg [ 12.75 KiB | Viewed 7989 times ]


_________________

My posts: Solving Inequalities, Solving Simultaneous equations, Divisibility Rules

My story: 640 What a blunder!


Last edited by cyberjadugar on 25 Jun 2012, 04:09, edited 1 time in total.
Director
Director
User avatar
Joined: 22 Mar 2011
Posts: 613
WE: Science (Education)
Followers: 63

Kudos [?]: 425 [0], given: 43

GMAT Tests User
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Jun 2012, 03:52
cyberjadugar wrote:
Hi,

With reference to the attached diagram:
In triangle DFB, angle DFB = 180 - angle FDB - angle FBD
=180 - v - z

Similary, in other triangles,
angle AJC = 180 - y - w
angle EIB = 180 - x - z
angle AHD = 180 - v - y
angle EGC = 180 - x - w

Adding all, angle DFB + angle AJC + angle EIB + angle AHD +angle EGC = sum of interior angles of pentagon
=540 = 5*180 - 2(v+w+x+y+z)

so, v+w+x+y+z = 360

Answer (E)

Regards,


Nice solution, you just forgot too divide by 2. The correct answer is 180.
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Manager
Manager
Joined: 07 Jun 2011
Posts: 79
Followers: 0

Kudos [?]: 9 [0], given: 31

Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Jun 2012, 03:58
As shown in the diagrams above, nothing about the colored angles can be assumed. So I considered triangles that forms the interior angles of the inside pentagon. Sum of those individual angles = 360

Bases on the above method I am getting 270 as my answer
Senior Manager
Senior Manager
User avatar
Joined: 28 Mar 2012
Posts: 280
Concentration: Entrepreneurship, Sustainability
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 13

Kudos [?]: 111 [0], given: 23

GMAT ToolKit User GMAT Tests User
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Jun 2012, 04:01
EvaJager wrote:
cyberjadugar wrote:
Hi,

With reference to the attached diagram:
In triangle DFB, angle DFB = 180 - angle FDB - angle FBD
=180 - v - z

Similary, in other triangles,
angle AJC = 180 - y - w
angle EIB = 180 - x - z
angle AHD = 180 - v - y
angle EGC = 180 - x - w

Adding all, angle DFB + angle AJC + angle EIB + angle AHD +angle EGC = sum of interior angles of pentagon
=540 = 5*180 - 2(v+w+x+y+z)

so, v+w+x+y+z = 360

Answer (E)

Regards,


Nice solution, you just forgot too divide by 2. The correct answer is 180.

Hi,

Thanks for pointing this out.

Updated the solution.

Regards,
_________________

My posts: Solving Inequalities, Solving Simultaneous equations, Divisibility Rules

My story: 640 What a blunder!

1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18401 [1] , given: 2350

GMAT Tests User CAT Tests
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 29 Jun 2012, 02:46
1
This post received
KUDOS
Expert's post
SOLUTION

In the figure shown, what is the value of v+x+y+z+w?
Attachment:
Star.png
Star.png [ 9.16 KiB | Viewed 8735 times ]


(A) 45
(B) 90
(C) 180
(D) 270
(E) 360

Let's simplify the problem by imagining that we have a star that is inscribed in a circle as shown below:
Attachment:
Star2.png
Star2.png [ 43.64 KiB | Viewed 8985 times ]
As we can see, 5 arcs subtended by the inscribed angles (x, y, z, w, and v) make the whole circumference. Hence the sum of the corresponding central angles must be 360 degrees, which makes the sum of the inscribed angels 360/2=180 degrees (according to the Central Angle Theorem the measure of inscribed angle is always half the measure of the central angle).

Answer: C.
_________________

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Manager
Manager
Joined: 28 Sep 2011
Posts: 68
Location: United States
GMAT 1: 520 Q34 V27
GMAT 2: 550 Q V
GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)
Followers: 1

Kudos [?]: 14 [0], given: 9

GMAT ToolKit User
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 29 Jun 2012, 10:49
The sum of all the angles of the pentagon in the middle is (5-3)180 = 540.
Each vertex of the pentagon has a angle of 108 degrees (on average).
Lets look at triangle AYW, since A is a vertex of the pentagon, the sum of y + w = 72.
In this same scenario z + v also = 72 and x equals 36 (72/2).

72 + 72 + 36 = 180
[Reveal] Spoiler:
C
Director
Director
User avatar
Joined: 22 Mar 2011
Posts: 613
WE: Science (Education)
Followers: 63

Kudos [?]: 425 [0], given: 43

GMAT Tests User
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 29 Jun 2012, 13:50
ashish8 wrote:
The sum of all the angles of the pentagon in the middle is (5-3)180 = 540.
Each vertex of the pentagon has a angle of 108 degrees (on average).
Lets look at triangle AYW, since A is a vertex of the pentagon, the sum of y + w = 72.
In this same scenario z + v also = 72 and x equals 36 (72/2).

72 + 72 + 36 = 180
[Reveal] Spoiler:
C


Nice! In other words, if we understand from the answers that the sum does not depend on the shape of the star, we can consider a regular pentagon. Then each of its angles is 108, and each angle of the star is 36, so the sum is 180.
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

6 KUDOS received
Director
Director
Joined: 29 Nov 2012
Posts: 936
Followers: 11

Kudos [?]: 157 [6] , given: 543

Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Dec 2012, 03:33
6
This post received
KUDOS
I was thinking of using the exterior angle property with 2 triangles

Angle 1 = X + W
Angle 2 = v + Y

angle 1 + angle 2 + Z = 180

then add those angles up its 180 degrees.
Attachments

Star2.jpg
Star2.jpg [ 24.67 KiB | Viewed 6177 times ]


_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Director
Director
Joined: 29 Nov 2012
Posts: 936
Followers: 11

Kudos [?]: 157 [0], given: 543

Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Dec 2012, 03:36
Bunuel wrote:
SOLUTION

In the figure shown, what is the value of v+x+y+z+w?
Attachment:
Star.png


(A) 45
(B) 90
(C) 180
(D) 270
(E) 360

Let's simplify the problem by imagining that we have a star that is inscribed in a circle as shown below:
Attachment:
Star2.png
As we can see, 5 arcs subtended by the inscribed angles (x, y, z, w, and v) make the whole circumference. Hence the sum of the corresponding central angles must be 360 degrees, which makes the sum of the inscribed angels 360/2=180 degrees (according to the Central Angle Theorem the measure of inscribed angle is always half the measure of the central angle).

Answer: C.


could you please elaborate on this method. very interesting approach.
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18401 [0], given: 2350

GMAT Tests User CAT Tests
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Dec 2012, 03:45
Expert's post
fozzzy wrote:
Bunuel wrote:
SOLUTION

In the figure shown, what is the value of v+x+y+z+w?
Attachment:
Star.png


(A) 45
(B) 90
(C) 180
(D) 270
(E) 360

Let's simplify the problem by imagining that we have a star that is inscribed in a circle as shown below:
Attachment:
Star2.png
As we can see, 5 arcs subtended by the inscribed angles (x, y, z, w, and v) make the whole circumference. Hence the sum of the corresponding central angles must be 360 degrees, which makes the sum of the inscribed angels 360/2=180 degrees (according to the Central Angle Theorem the measure of inscribed angle is always half the measure of the central angle).

Answer: C.


could you please elaborate on this method. very interesting approach.


You should tell what exactly didn't you understand.
_________________

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Director
Director
Joined: 29 Nov 2012
Posts: 936
Followers: 11

Kudos [?]: 157 [0], given: 543

Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 25 Dec 2012, 03:48
Bunuel wrote:
fozzzy wrote:
Bunuel wrote:
SOLUTION

In the figure shown, what is the value of v+x+y+z+w?
Attachment:
Star.png


(A) 45
(B) 90
(C) 180
(D) 270
(E) 360

Let's simplify the problem by imagining that we have a star that is inscribed in a circle as shown below:
Attachment:
Star2.png
As we can see, 5 arcs subtended by the inscribed angles (x, y, z, w, and v) make the whole circumference. Hence the sum of the corresponding central angles must be 360 degrees, which makes the sum of the inscribed angels 360/2=180 degrees (according to the Central Angle Theorem the measure of inscribed angle is always half the measure of the central angle).

Answer: C.


could you please elaborate on this method. very interesting approach.


You should tell what exactly didn't you understand.


the highlighted part.... have a difficult time to apply the theory properly.
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

CBS Thread Master
Joined: 27 Aug 2012
Posts: 1061
Followers: 62

Kudos [?]: 332 [0], given: 97

Premium Member
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 27 Dec 2012, 02:33
Expert's post
fozzzy wrote:
I was thinking of using the exterior angle property with 2 triangles

Angle 1 = X + W
Angle 2 = v + Y

angle 1 + angle 2 + Z = 180

then add those angles up its 180 degrees.


Excellent fozzy..! KUDOS for providing fastest possible soln to this problem I believe as I also did in the same way but didn't post seeing the rest of the solns..Their knowledge base is so widened man than ours..:? but still it's the fastest possible.. :wink:
_________________

e-GMAT SC Resources-Consolidated || ALL RC Resources-Consolidated || ALL SC Resources-Consolidated || UPDATED : AWA compilations-109 Analysis of Argument Essays

GMAT Club guide - OG 11-12-13 || Veritas Blog || Manhattan GMAT Blog

CBS Thread Master
Joined: 27 Aug 2012
Posts: 1061
Followers: 62

Kudos [?]: 332 [0], given: 97

Premium Member
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 27 Dec 2012, 02:43
Expert's post
cyberjadugar wrote:
Hi,

With reference to the attached diagram:
In triangle DFB, angle DFB = 180 - angle FDB - angle FBD
=180 - v - z

Similary, in other triangles,
angle AJC = 180 - y - w
angle EIB = 180 - x - z
angle AHD = 180 - v - y
angle EGC = 180 - x - w

Adding all, angle DFB + angle AJC + angle EIB + angle AHD +angle EGC = sum of interior angles of pentagon
=540 = 5*180 - 2(v+w+x+y+z)
so, v+w+x+y+z = 180

Answer (C)

Regards,


Very nice solution man..! :)

Happy Holidays...
Cheers :thumbup:
_________________

e-GMAT SC Resources-Consolidated || ALL RC Resources-Consolidated || ALL SC Resources-Consolidated || UPDATED : AWA compilations-109 Analysis of Argument Essays

GMAT Club guide - OG 11-12-13 || Veritas Blog || Manhattan GMAT Blog

Director
Director
Joined: 29 Nov 2012
Posts: 936
Followers: 11

Kudos [?]: 157 [0], given: 543

Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 15 Jan 2013, 20:04
debayan222 wrote:
fozzzy wrote:
I was thinking of using the exterior angle property with 2 triangles

Angle 1 = X + W
Angle 2 = v + Y

angle 1 + angle 2 + Z = 180

then add those angles up its 180 degrees.


Excellent fozzy..! KUDOS for providing fastest possible soln to this problem I believe as I also did in the same way but didn't post seeing the rest of the solns..Their knowledge base is so widened man than ours..:? but still it's the fastest possible.. :wink:


Thanks! Theory is really important in GMAT, bunuel's explanation is pretty fast if you know the theory :)
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Intern
Intern
Joined: 03 Feb 2011
Posts: 13
Followers: 0

Kudos [?]: 1 [0], given: 11

Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 28 Apr 2013, 07:21
Hi Bunuel,

I didn't understand the part where you used "Central Angle Theorem". Is it correct to assume that if I see one or more triangles then If I draw a
circle around those triangles which are kind of inter-connected then can I use the "Central Angle Theorem"?

Thanks a lot for the help,

LR
Intern
Intern
Joined: 12 Apr 2013
Posts: 9
Followers: 0

Kudos [?]: 2 [0], given: 21

Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 28 Apr 2013, 07:47
fozzzy wrote:
I was thinking of using the exterior angle property with 2 triangles

Angle 1 = X + W
Angle 2 = v + Y

angle 1 + angle 2 + Z = 180

then add those angles up its 180 degrees.

Bunuel's and fozzzy's solutions are the fastest ways
_________________

Life is not easy
I knew that and now I don't even expect life to be easy

1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18401 [1] , given: 2350

GMAT Tests User CAT Tests
Re: In the figure shown, what is the value of v+x+y+z+w? [#permalink] New post 28 Apr 2013, 23:59
1
This post received
KUDOS
Expert's post
nitestr wrote:
Hi Bunuel,

I didn't understand the part where you used "Central Angle Theorem". Is it correct to assume that if I see one or more triangles then If I draw a
circle around those triangles which are kind of inter-connected then can I use the "Central Angle Theorem"?

Thanks a lot for the help,

LR


Not sure understand what you mean.

Anyway, the Central Angle Theorem states that the measure of inscribed angle is always half the measure of the central angle:
Image

For more check here: math-circles-87957.html
_________________

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Re: In the figure shown, what is the value of v+x+y+z+w?   [#permalink] 28 Apr 2013, 23:59
    Similar topics Author Replies Last post
Similar
Topics:
New posts 4 In the figure shown (see the attachment), what is the value sdrandom1 6 27 Jun 2009, 19:40
Popular new posts 34 Experts publish their posts in the topic In the figure shown, what is the value of x? shorteverything 15 25 Jul 2010, 19:24
This topic is locked, you cannot edit posts or make further replies. New Experts publish their posts in the topic In the figure shown, what is the value of x? thagem01 5 08 Aug 2012, 06:39
New posts Experts publish their posts in the topic What is the value of x in the figure given ? antoxavier 1 14 Jul 2013, 19:51
New posts 2 Experts publish their posts in the topic In the figure shown, what is the are of the triangular yuvrajsub 5 29 Oct 2013, 03:14
Display posts from previous: Sort by

In the figure shown, what is the value of v+x+y+z+w?

  Question banks Downloads My Bookmarks Reviews Important topics  

Go to page    1   2    Next  [ 22 posts ] 



GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.