It is currently 12 Dec 2017, 19:34

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the figure above, line segments AD and BE intersect at C. What is

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42575

Kudos [?]: 135405 [0], given: 12692

In the figure above, line segments AD and BE intersect at C. What is [#permalink]

Show Tags

New post 09 Aug 2017, 03:43
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

35% (00:53) correct 65% (00:42) wrong based on 38 sessions

HideShow timer Statistics

Image
In the figure above, line segments AD and BE intersect at C. What is the value of x in terms of y?

(A) 85 – y
(B) 90 – y
(C) y + 15
(D) y + 25
(E) y + 25

[Reveal] Spoiler:
Attachment:
2017-08-09_1259_001.png
2017-08-09_1259_001.png [ 12.92 KiB | Viewed 1061 times ]
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135405 [0], given: 12692

Intern
Intern
avatar
B
Status: Striving to get that elusive 740
Joined: 04 Jun 2017
Posts: 48

Kudos [?]: 11 [0], given: 24

GMAT 1: 690 Q49 V35
GPA: 3.7
WE: Analyst (Consulting)
Reviews Badge
Re: In the figure above, line segments AD and BE intersect at C. What is [#permalink]

Show Tags

New post 09 Aug 2017, 04:46
Lets consider angle c on both sides as p (since they opposite angles)

Now considering both the triangles separately, we get

x+85+p = 180 and y+110+p = 180

solving..
p = 70 - y. Putting this in first.

x+85+(70-y) = 180
x - y + 155 = 180
or
x = y +25

Both D and E are showing the same options.

So i believe we need to fix that :)

Kudos [?]: 11 [0], given: 24

Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1765

Kudos [?]: 1061 [0], given: 90

Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
In the figure above, line segments AD and BE intersect at C. What is [#permalink]

Show Tags

New post 09 Aug 2017, 07:53
Bunuel wrote:
Image
In the figure above, line segments AD and BE intersect at C. What is the value of x in terms of y?

(A) 85 – y
(B) 90 – y
(C) y + 15
(D) y + 25
(E) y + 25

[Reveal] Spoiler:
Attachment:
2017-08-09_1259_001.png


\(\angle\) ECD = 180 - (110+y) = 70 -y
\(\angle\)BCA =\(\angle\) ECD = 70-y (Veritically opposite angles are equal )

\(\angle\) BAC = x = 180 -( 85+70-y)
=> x = 180 - 155 +y
=> x = 25 + y

Answer D and E both are y+25 .

Bunuel, Can you please check as both options D and E are same here .
Also , vertex B in upper triangle is missing .
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Kudos [?]: 1061 [0], given: 90

Intern
Intern
User avatar
B
Joined: 05 Feb 2017
Posts: 26

Kudos [?]: 9 [0], given: 49

Re: In the figure above, line segments AD and BE intersect at C. What is [#permalink]

Show Tags

New post 11 Aug 2017, 20:06
Take Angle ACB as a .Angle DCE will also be a since they are vertically opposite .
From Tr.ACB x+a=95
FromTr.DCE y+a=70

Therefor X+a= y+a+25
And therefore x=y+25

Option D and E both are correct.




Sent from my iPhone using GMAT Club Forum

Kudos [?]: 9 [0], given: 49

Re: In the figure above, line segments AD and BE intersect at C. What is   [#permalink] 11 Aug 2017, 20:06
Display posts from previous: Sort by

In the figure above, line segments AD and BE intersect at C. What is

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


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

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

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®.