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

It is currently 30 Aug 2016, 20:24
GMAT Club 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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Geometry 7

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 19 Aug 2009
Posts: 79
Followers: 1

Kudos [?]: 201 [0], given: 46

Geometry 7 [#permalink]

Show Tags

New post 02 Oct 2009, 09:57
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (03:06) correct 0% (00:00) wrong based on 1 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Diagram not to scale
Q.
ABCD is a trapezium in which AB is parallel to DC, AD = BC, AB= 6 cm, AB=EF and DF=EC. If the two lines AF and BE are drawn so that area of ABEF is half of ABCD.
Find DF/CD.
1. 1/4
2. 1/3
3. 2/5
4.1/6
Attachments

geometry 7.JPG
geometry 7.JPG [ 10.89 KiB | Viewed 1232 times ]

Manager
Manager
avatar
Joined: 12 Oct 2009
Posts: 115
Followers: 2

Kudos [?]: 52 [0], given: 3

Re: Geometry 7 [#permalink]

Show Tags

New post 13 Oct 2009, 16:00
virtualanimosity wrote:
Diagram not to scale
Q.
ABCD is a trapezium in which AB is parallel to DC, AD = BC, AB= 6 cm, AB=EF and DF=EC. If the two lines AF and BE are drawn so that area of ABEF is half of ABCD.
Find DF/CD.
1. 1/4
2. 1/3
3. 2/5
4.1/6


1/3
as per diagram and info AB=EF=6 cm and DF = EC = x(say)
then area of ABEF is 6*h (hieght) = 1/2 [1/2*( 6+6+2x)*h]
we get x= 6 so DF/ CD = 6/18 =1/3
Senior Manager
Senior Manager
User avatar
Affiliations: PMP
Joined: 13 Oct 2009
Posts: 312
Followers: 4

Kudos [?]: 148 [0], given: 37

Re: Geometry 7 [#permalink]

Show Tags

New post 13 Oct 2009, 17:31
My Ans. is 2

1/2 (6+CD)h = 2* 1/2 (6+6)h

solving for CD, we get 18, since EF=6 and DF = EC , DF, EC must be 6 each.

hence DF/CD=6/18=1/3

matrix is always ahead of me and almost always right :) :)
_________________

Thanks, Sri
-------------------------------
keep uppp...ing the tempo...

Press +1 Kudos, if you think my post gave u a tiny tip

Manager
Manager
avatar
Joined: 12 Oct 2009
Posts: 115
Followers: 2

Kudos [?]: 52 [0], given: 3

Re: Geometry 7 [#permalink]

Show Tags

New post 13 Oct 2009, 22:42
srini123 wrote:
My Ans. is 2

1/2 (6+CD)h = 2* 1/2 (6+6)h

solving for CD, we get 18, since EF=6 and DF = EC , DF, EC must be 6 each.

hence DF/CD=6/18=1/3

matrix is always ahead of me and almost always right :) :)

:lol:
Manager
Manager
User avatar
Joined: 18 Jul 2009
Posts: 169
Location: India
Schools: South Asian B-schools
Followers: 2

Kudos [?]: 87 [0], given: 37

Re: Geometry 7 [#permalink]

Show Tags

New post 14 Oct 2009, 02:35
AB=EF=6
DF=EC=x cm

Area of ABCD = 2 ( Area of ABEF )
1/2*(6+6+x+x) = 2 ( 1/2*12*h )
x=6
thus DF/CD = 6/18 = 1/3
_________________

Bhushan S.
If you like my post....Consider it for Kudos :-D

Re: Geometry 7   [#permalink] 14 Oct 2009, 02:35
Display posts from previous: Sort by

Geometry 7

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| 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®.