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

It is currently 25 Jun 2018, 08:32

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

If arc ABC in the circle above is 80°, then what is the value of x°+y°

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

Hide Tags

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46303
If arc ABC in the circle above is 80°, then what is the value of x°+y° [#permalink]

Show Tags

New post 11 Sep 2016, 05:33
2
3
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:48) correct 29% (01:12) wrong based on 87 sessions

HideShow timer Statistics

Image
If arc ABC in the circle above is 80°, then what is the value of x°+y°?

A. 30°
B. 40°
C. 45°
D. 50°
E. 80°

Attachment:
T5315.png
T5315.png [ 9.17 KiB | Viewed 1197 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

1 KUDOS received
Senior Manager
Senior Manager
User avatar
P
Joined: 12 Mar 2013
Posts: 297
Reviews Badge CAT Tests
Re: If arc ABC in the circle above is 80°, then what is the value of x°+y° [#permalink]

Show Tags

New post 11 Sep 2016, 07:02
1
Bunuel wrote:
Image
If arc ABC in the circle above is 80°, then what is the value of x°+y°?

A. 30°
B. 40°
C. 45°
D. 50°
E. 80°

Attachment:
T5315.png


x+y= 1/2 (Arc AB + BC) = 40°

Ans: B
_________________

We Shall Overcome... One day...

Manager
Manager
User avatar
Joined: 15 Apr 2016
Posts: 83
Re: If arc ABC in the circle above is 80°, then what is the value of x°+y° [#permalink]

Show Tags

New post 11 Sep 2016, 07:15
nahid78 wrote:
Bunuel wrote:
Image
If arc ABC in the circle above is 80°, then what is the value of x°+y°?

A. 30°
B. 40°
C. 45°
D. 50°
E. 80°

Attachment:
T5315.png


x+y= 1/2 (Arc AB + BC) = 40°

Ans: B


Hi Nahid78
can you please elaborate how you got

nahid78 wrote:
x+y= 1/2 (Arc AB + BC) = 40°

_________________

Cheers,
Shri
-------------------------------
GMAT is not an Exam... it is a war .. Let's Conquer !!!

1 KUDOS received
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3657
Premium Member Reviews Badge CAT Tests
If arc ABC in the circle above is 80°, then what is the value of x°+y° [#permalink]

Show Tags

New post 11 Sep 2016, 09:32
1
Shrivathsan wrote:
nahid78 wrote:
Bunuel wrote:
Image
If arc ABC in the circle above is 80°, then what is the value of x°+y°?

A. 30°
B. 40°
C. 45°
D. 50°
E. 80°

Attachment:
T5315.png


x+y= 1/2 (Arc AB + BC) = 40°

Ans: B


Hi Nahid78
can you please elaborate how you got

nahid78 wrote:
x+y= 1/2 (Arc AB + BC) = 40°


Angle subtended by the arc at the center is twice the angle subtended at the other end of the circle. So arc ABC could be written as the sum of angle AOB and Angle BOC each as twice angle x and y respectively.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog

GMAT Club Inbuilt Error Log Functionality - View More.
NEW VISA FORUM - Ask all your Visa Related Questions - here.

How to use an Error Log? Check out my tips!



Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free

1 KUDOS received
Intern
Intern
avatar
B
Joined: 08 Feb 2017
Posts: 15
CAT Tests
Re: If arc ABC in the circle above is 80°, then what is the value of x°+y° [#permalink]

Show Tags

New post 23 Mar 2017, 09:26
1
Connect point E to point C
Now angle BEC and angle CDB cuts the same arc
As per the rule, if two inscribed angle cuts the same arc then those two angles are same
Therefore angle BEC = angle CDB = y

Now consider the angle AEC=x+y
This angle cuts the arc ABC,
As per the rule, measure of inscribed angle is half the measure of the arc it cuts
Therefore Arc=80
Angle AEC=X+Y=40
Re: If arc ABC in the circle above is 80°, then what is the value of x°+y°   [#permalink] 23 Mar 2017, 09:26
Display posts from previous: Sort by

If arc ABC in the circle above is 80°, then what is the value of x°+y°

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


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®.