It is currently 12 Dec 2017, 00:32
My Tests

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.

BD is parallel to AE.

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 2501
Followers: 37

Kudos [?]: 361 [0], given: 1494

BD is parallel to AE. [#permalink] New post 02 Aug 2017, 08:31
Expert's post
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions


Attachment:
triangle.jpg
triangle.jpg [ 17.41 KiB | Viewed 630 times ]


BD is parallel to AE.

Quantity A
Quantity B
xz
wy


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Get the 17 FREE GREPrepclub Tests

Intern
Intern
Joined: 28 Feb 2017
Posts: 7
Followers: 0

Kudos [?]: 0 [0], given: 3

Re: BD is parallel to AE. [#permalink] New post 23 Sep 2017, 18:54
Explain Please
1 KUDOS received
Senior Manager
Senior Manager
Joined: 20 Apr 2016
Posts: 264
Followers: 1

Kudos [?]: 162 [1] , given: 54

Re: BD is parallel to AE. [#permalink] New post 23 Sep 2017, 20:23
1
This post received
KUDOS
Pria wrote:
Explain Please



Here given BD is parallel to AE,

so angle CBD = angle CAE, and angle BDC = angle AEC.

Therefore the triangles BCD and ACE are similar (Angle C is common to both triangles and by AAA triangle BCD and triangle ACE are similar)

Now it is given side BC = x , AB = y and AC =x+w.

side CD = y, DE = z and CE = y+Z


Now as both triangles BCD and ACE are similar

therfore we have

\frac{CB}{CA} = \frac{CD}{CE}

substitute the values we get

\frac{x}{(x+w)}= \frac{y}{(y+z)}

or x(y+z) = y(x+w)

or xy + xz = xy + wy

or xz = wy. So option C.
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Intern
Intern
Joined: 28 Feb 2017
Posts: 7
Followers: 0

Kudos [?]: 0 [0], given: 3

Re: BD is parallel to AE. [#permalink] New post 24 Sep 2017, 07:36
Thank you.
Intern
Intern
Joined: 22 Sep 2017
Posts: 1
Followers: 0

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

Re: BD is parallel to AE. [#permalink] New post 26 Sep 2017, 17:04
I don't understand.
CA could be different length than CE

Can anyone explain? Thank you
1 KUDOS received
Senior Manager
Senior Manager
Joined: 20 Apr 2016
Posts: 264
Followers: 1

Kudos [?]: 162 [1] , given: 54

Re: BD is parallel to AE. [#permalink] New post 26 Sep 2017, 20:48
1
This post received
KUDOS
pclawong wrote:
I don't understand.
CA could be different length than CE

Can anyone explain? Thank you


\frac{{CB}}{{CA}} = \frac{{CD}}{{CE}} because they are similar and the ratio's of there length has to be equal.


CA= x+w (total length of CA, x & w are given)

CE = y+z (total length of CE, y & z are given)
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Re: BD is parallel to AE.   [#permalink] 26 Sep 2017, 20:48
Display posts from previous: Sort by

BD is parallel to AE.

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms of Use| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.