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

It is currently 19 Aug 2018, 08:25

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 ∆ ABC above, what is the value of r + s + u + v?

  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: 47983
In ∆ ABC above, what is the value of r + s + u + v?  [#permalink]

Show Tags

New post 08 Aug 2017, 10:39
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (00:22) correct 0% (00:00) wrong based on 29 sessions

HideShow timer Statistics

Image
In ∆ ABC above, what is the value of r + s + u + v?

(A) 180
(B) 200
(C) 210
(D) 220
(E) 230

Attachment:
2017-08-08_2137.png
2017-08-08_2137.png [ 6.93 KiB | Viewed 757 times ]

_________________

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

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3044
Location: India
GPA: 3.12
Premium Member CAT Tests
In ∆ ABC above, what is the value of r + s + u + v?  [#permalink]

Show Tags

New post 08 Aug 2017, 10:57
Image

In ∆ABC, u+v+70 = 180
u+v = 110

Lets call the line in between DE
In ∆BDE, r+s+70 = 180
r+s = 110

r+s+u+v = 220(Option D)
_________________

You've got what it takes, but it will take everything you've got

Director
Director
User avatar
D
Joined: 04 Dec 2015
Posts: 700
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
In ∆ ABC above, what is the value of r + s + u + v?  [#permalink]

Show Tags

New post 08 Aug 2017, 12:00
Bunuel wrote:
Image
In ∆ ABC above, what is the value of r + s + u + v?

(A) 180
(B) 200
(C) 210
(D) 220
(E) 230

Attachment:
2017-08-08_2137.png


In \(\triangle\) \(ABC\),

\(70 + u + v = 180\)

\(u + v = 180 - 70 => 110\)

Let the smaller triangle be \(\triangle\) \(DBE\),

\(70 + r + s = 180\)

\(r + s = 180 - 70 => 110\)

\(r + s + u + v = 110 + 110 = 220\)

Answer (D)...
Manager
Manager
avatar
S
Joined: 23 Jul 2015
Posts: 162
GMAT ToolKit User
Re: In ∆ ABC above, what is the value of r + s + u + v?  [#permalink]

Show Tags

New post 08 Aug 2017, 23:40
Image

Lets call intersecting line DE

Sum of interior angles in a triangle = 180

Here we have two triangles \(\triangle ABC\) and \(\triangle BDE\)

70 + u + v + 70 + r + s = 360
therefore, u + v + r + s = 220 (choice D)
SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1908
Premium Member CAT Tests
In ∆ ABC above, what is the value of r + s + u + v?  [#permalink]

Show Tags

New post 09 Aug 2017, 07:12
Bunuel wrote:
Image
In ∆ ABC above, what is the value of r + s + u + v?

(A) 180
(B) 200
(C) 210
(D) 220
(E) 230

Attachment:
2017-08-08_2137.png

From smaller and larger triangles, then add:

r + s + 70 = 180
u + v + 70 = 180
--------------------------------
r + s + u + v + 140 = 360

r + s + u + v = 220

Answer D

_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

In ∆ ABC above, what is the value of r + s + u + v? &nbs [#permalink] 09 Aug 2017, 07:12
Display posts from previous: Sort by

In ∆ ABC above, what is the value of r + s + u + v?

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.