GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 27 Jun 2019, 03:31

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.

Close

Request Expert Reply

Confirm Cancel

In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the leng

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55804
In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the leng  [#permalink]

Show Tags

New post 23 Oct 2018, 21:21
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:13) correct 17% (01:39) wrong based on 46 sessions

HideShow timer Statistics


CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2946
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the leng  [#permalink]

Show Tags

New post 23 Oct 2018, 21:25
Bunuel wrote:
In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the length of line segment BC?
Image
Note: Figure not drawn to scale

A. 2
B. 3
C. 4
D. 5
E. 6


Attachment:
GMAT_PS_Magoosh_315.png


Let,
AB = a
BC = b
CD = c
DE = d

AE = a+b+c+d = 20

AD = a+b+c = 14

i.e. d = 20 - 14 = 6

CD = c = 6

EB = b+c+d = 17
i..e b+6+6 = 17
i.e. b = 5

i.e. a = 14 - 5 - 6 = 3

Answer: Option D
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4505
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the leng  [#permalink]

Show Tags

New post 24 Oct 2018, 00:11
Bunuel wrote:
In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the length of line segment BC?
Image
Note: Figure not drawn to scale

A. 2
B. 3
C. 4
D. 5
E. 6


Attachment:
The attachment GMAT_PS_Magoosh_315.png is no longer available


\(AE = AB + BC + CD + DE\)

Or, \(AE = AD + DE\)

So, \(20 = 14 + DE\)

Or, \(DE = 6\)

Now, break down parts and solve ...
Attachment:
Solution.png
Solution.png [ 4.14 KiB | Viewed 460 times ]
Answer must be (D) 5
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2909
Re: In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the leng  [#permalink]

Show Tags

New post 24 Oct 2018, 03:58

Solution


Given:
    • AE = 20
    • AD = 14
    • CD = 6
    • EB = 17

To find:
    • The length of BC

Approach and Working:
    • BC = BE – CD – DE
    • DE = AE – AD
    • Thus, BC = BE – CD – (AE - AD)
    • Therefore, BC = 17 – 6 – (20 - 14) = 11 – 6 = 5

Hence, the correct answer is Option D

Answer: D

Image

_________________
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 3947
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the leng  [#permalink]

Show Tags

New post 28 Oct 2018, 00:17
In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the length of line segment BC?


A. 2
B. 3
C. 4
D. 5
E. 6

Using the given info we can find :
Total length is 20 AE

BE 17, CD 6, AD 14 ( given )
Info we can find using given details,
DC 6, DE 6

DC+DE+BC=BE
6+6+BC=17

BC=5

IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
GMAT Club Bot
Re: In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the leng   [#permalink] 28 Oct 2018, 00:17
Display posts from previous: Sort by

In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the leng

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne