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

It is currently 17 Sep 2014, 23:59

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 above, what is the value of x?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
5 KUDOS received
Manager
Manager
avatar
Joined: 09 Feb 2013
Posts: 121
Followers: 1

Kudos [?]: 233 [5] , given: 17

In the figure above, what is the value of x? [#permalink] New post 25 Mar 2013, 21:57
5
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

48% (02:34) correct 52% (01:38) wrong based on 93 sessions
Attachment:
1.gif
1.gif [ 2.64 KiB | Viewed 2478 times ]
In the figure above, what is the value of x?

(1) AD = AE = BE = CD = BC
(2) x = y
[Reveal] Spoiler: OA

_________________

Kudos will encourage many others, like me.
Good Questions also deserve few KUDOS.


Last edited by Bunuel on 26 Mar 2013, 00:22, edited 1 time in total.
Edited the question.
1 KUDOS received
BSchool Thread Master
User avatar
Status: If you think you can, then eventually you WILL!
Joined: 05 Apr 2011
Posts: 430
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 58

Kudos [?]: 240 [1] , given: 44

GMAT Tests User Premium Member
Re: In the figure above, what is the value of x? [#permalink] New post 28 Mar 2013, 04:34
1
This post received
KUDOS
emmak wrote:
Attachment:
The attachment 1.gif is no longer available
In the figure above, what is the value of x?

(1) AD = AE = BE = CD = BC
(2) x = y


Figure attached
STAT1.

Consider Triangle BCD
sum of all three angles = 180
so, y + b + d + e = 180

Also, BC = CD
=> b = d + e

so, equation becomes
y + d + e + d + e = 180
y + 2d + 2e= 180 ... (1)


Consider traingle BCE
sum of all three angles = 180
so, a + c+ y + e = 180

Also, BC = BE
so, a = c+y
so, equation becomes

y + c + y+ c+ y = 180
3y + 2c = 180 ...(2)

Consider traingle ABC
sum of all three angles = 180
so, x + y + c+ d + e = 180 ...(3)

Consider traingle AEB
AE = EB
so, x = d ...(4)

Consider traingle ADC
AD = DC
so, x = c ...(5)

putting d=x (1) becomes
2x + y + 2e = 180 ...(6)

putting c=x in (2) becomes
2x + 3y = 180 ...(7)

putting c=x and d=x in (3) we have
3x+y+e=180 ...(8)

mutiply (8) by 2 and subtract from (6) we have
4x + y = 180 ...(9)

equating (7) and (9) we have
2x+ 3y = 4x+y
=> 2y = 2x
or x=y
putting x=y in (7) we have
5x= 180
x= 36

So, STAT1 is sufficient

STAT2
STAT2 is not sufficient as we dont have relationship between any other angles.

So, Answer will be A.
Will reply in sometime with a smaller and more geometric solution if i get in sometime!

Hope it helps!
Attachments

figure.png
figure.png [ 14.6 KiB | Viewed 2326 times ]


_________________

ankit
you must believe

How to start GMAT preparations?
How to Improve Quant Score?
gmatclub topic tags
Check out my GMAT debrief
Thursdays with Ron link
Looking for a Quant tutor? Check out my post for the same!

Combined Formula Sheet :
Number Properties || Word Problems and PnC || Equations, Inequalities || Geometry

How to Solve :
Statistics || Reflection of a line || Remainder Problems

2 KUDOS received
Manager
Manager
avatar
Joined: 06 Jun 2012
Posts: 150
Followers: 0

Kudos [?]: 37 [2] , given: 37

GMAT ToolKit User
Re: In the figure above, what is the value of x? [#permalink] New post 02 May 2013, 00:32
2
This post received
KUDOS
A little simpler way

Statement 1:

Angle BEC = z; As AE = EB = CD ==> we have Angle EBD = Angle ECD =x (Isosceles Triangle)
z = 2x (exterior angle theorem)
As BE = BC ==> z = x+y ==> 2x = x + y; means y =x

For Triangle ABC, Angle ACB + Angle CBA + Angle BAC = 180
(x+y) + (x+y) + x = 180
as x = y ==> x =y = 36
Statement 1 sufficient

Statement 2: clearly insufficient

Ans A
_________________

Please give Kudos if you like the post

Manager
Manager
avatar
Status: Trying.... & desperate for success.
Joined: 17 May 2012
Posts: 79
Location: India
Concentration: Leadership, Entrepreneurship
Schools: NUS '15
GMAT 1: Q33 V27
GPA: 2.92
WE: Analyst (Computer Software)
Followers: 0

Kudos [?]: 21 [0], given: 61

Re: In the figure above, what is the value of x? [#permalink] New post 02 May 2013, 01:45
emmak wrote:
Attachment:
1.gif
In the figure above, what is the value of x?

(1) AD = AE = BE = CD = BC
(2) x = y


Good question and quite a learning...

Out of curiousity, can this sum be solved in less than 2mins that too under "GMAT exam" conditions that too at first sight??
Manager
Manager
User avatar
Joined: 07 May 2012
Posts: 76
Location: United States
Followers: 1

Kudos [?]: 42 [0], given: 23

Re: In the figure above, what is the value of x? [#permalink] New post 21 May 2013, 14:54
summer101 wrote:
A little simpler way

Statement 1:

Angle BEC = z; As AE = EB = CD ==> we have Angle EBD = Angle ECD =x (Isosceles Triangle)
z = 2x (exterior angle theorem)
As BE = BC ==> z = x+y ==> 2x = x + y; means y =x

For Triangle ABC, Angle ACB + Angle CBA + Angle BAC = 180
(x+y) + (x+y) + x = 180
as x = y ==> x =y = 36
Statement 1 sufficient

Statement 2: clearly insufficient

Ans A


Could you please elaborate on the highlighted one . As to , how did you arrive at Angle EBD = Angle ECD ??

Thanks,
Jyothi
_________________

Jyothi hosamani

Re: In the figure above, what is the value of x?   [#permalink] 21 May 2013, 14:54
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic In the figure above, what is the value of x? fozzzy 4 03 Sep 2013, 23:44
5 Experts publish their posts in the topic What is the value of x + y in the figure above? Walkabout 2 26 Dec 2012, 04:18
2 Experts publish their posts in the topic In the figure above, what is the value of x + y ? mydreammba 4 28 Dec 2011, 06:48
3 Experts publish their posts in the topic What is the value of x+y in the figure above? Baten80 3 08 Mar 2011, 13:16
In the figure above, what is the value of X? (See attached ellisje22 8 02 Jan 2006, 15:53
Display posts from previous: Sort by

In the figure above, what is the value of x?

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.