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

It is currently 19 Jan 2019, 08:40

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     January 20, 2019

     January 20, 2019

     07:00 AM PST

     07:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum

  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: 52294
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum  [#permalink]

Show Tags

New post 10 Jan 2019, 01:39
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

48% (00:55) correct 52% (00:41) wrong based on 31 sessions

HideShow timer Statistics

Image
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum of the measures of the angles marked?


A. 90°
B. 180°
C. 270°
D. 360°
E. It cannot be determined from the information given


Attachment:
2019-01-10_1338.png
2019-01-10_1338.png [ 19.89 KiB | Viewed 280 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

Intern
Intern
avatar
B
Joined: 10 Feb 2018
Posts: 21
GMAT ToolKit User
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum  [#permalink]

Show Tags

New post 10 Jan 2019, 01:47
My Answer is A 90"

The sum of exterior angles of a triangle is 360-Sum of angles of 3 rectangles ie 270
Would give us resulting measure of 90.

Official answer please!!

Please explain if my answer is incorrect
VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1248
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum  [#permalink]

Show Tags

New post Updated on: 11 Jan 2019, 01:32
Bunuel wrote:
Image
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum of the measures of the angles marked?


A. 90°
B. 180°
C. 270°
D. 360°
E. It cannot be determined from the information given


Attachment:
2019-01-10_1338.png


total sum of all three sides ; 360*3 = 1080
and for one side we have two sides of rectangle + 1 angle of triangle +1 external angle
2*90+angle a + ext a
total
3*2*90 + 180+ ext a+ext b+ext c = 1080
ext a+ext b+ext c= 360
IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.


Originally posted by Archit3110 on 10 Jan 2019, 05:58.
Last edited by Archit3110 on 11 Jan 2019, 01:32, edited 2 times in total.
Intern
Intern
avatar
Joined: 15 Dec 2018
Posts: 12
Re: Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum  [#permalink]

Show Tags

New post 10 Jan 2019, 06:16
IMO E

At first glance, you might finalize 180 but C and D vertices are differently aligned.

Posted from my mobile device
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7204
Re: Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum  [#permalink]

Show Tags

New post 11 Jan 2019, 00:55
1
1
Archit3110 wrote:
Bunuel wrote:
Image
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum of the measures of the angles marked?


A. 90°
B. 180°
C. 270°
D. 360°
E. It cannot be determined from the information given


Attachment:
2019-01-10_1338.png


chetan2u :
Hi could you please review the question and suggest the solution..


Hi..

Each vertice will make 360 when in a complete circle.
Now each vertice consists of two angles of rectangle, one angle at the exterior, say \(E_A\)and one angle of triangle, say A . So 2*90 +A+\(E_A\)

When we add all three vertices for the same .. we have 3*(2*90)+\(E_A+E_B+E_C\)+A+B+C..
We are looking for \(E_A+E_B+E_C\) and A+B+C =180

So 3*(2*90)+\(E_A+E_B+E_C\)+180=3*360...540+180+\(E_A+E_B+E_C\)=1080...
\(E_A+E_B+E_C\)=1080-540-180=360

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1248
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Re: Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum  [#permalink]

Show Tags

New post 11 Jan 2019, 01:26
chetan2u

thank you

chetan2u wrote:
Archit3110 wrote:
Bunuel wrote:
Image
Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum of the measures of the angles marked?


A. 90°
B. 180°
C. 270°
D. 360°
E. It cannot be determined from the information given


Attachment:
2019-01-10_1338.png


chetan2u :
Hi could you please review the question and suggest the solution..


Hi..

Each vertice will make 360 when in a complete circle.
Now each vertice consists of two angles of rectangle, one angle at the exterior, say \(E_A\)and one angle of triangle, say A . So 2*90 +A+\(E_A\)

When we add all three vertices for the same .. we have 3*(2*90)+\(E_A+E_B+E_C\)+A+B+C..
We are looking for \(E_A+E_B+E_C\) and A+B+C =180

So 3*(2*90)+\(E_A+E_B+E_C\)+180=3*360...540+180+\(E_A+E_B+E_C\)=1080...
\(E_A+E_B+E_C\)=1080-540-180=360

D

_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

GMAT Club Bot
Re: Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum &nbs [#permalink] 11 Jan 2019, 01:26
Display posts from previous: Sort by

Rectangles lie on sides AB, BC, and AC of ΔABC above. What is the sum

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


Copyright

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®.