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

It is currently 13 Oct 2019, 19:01

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

If O is the center of the circle shown in the figure, what is the sum

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
If O is the center of the circle shown in the figure, what is the sum  [#permalink]

Show Tags

New post 12 Sep 2018, 01:05
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

60% (01:54) correct 40% (01:45) wrong based on 67 sessions

HideShow timer Statistics

VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1019
WE: Supply Chain Management (Energy and Utilities)
If O is the center of the circle shown in the figure, what is the sum  [#permalink]

Show Tags

New post 12 Sep 2018, 01:36
Bunuel wrote:
Image
If O is the center of the circle shown in the figure, what is the sum of the measures of the angles x + y + z?

(1) Angle y is 60 degrees.
(2) Angle z is 15 degrees.


Attachment:
image007.gif


The angle which is subtended by an arc at the centre of a circle is double the size of the angle subtended at any point on the circumference.

central angle=y=60
x+z=180-60/2-60-60=30
Using the above theorem, only st1 is suficient.

Ans. (A)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Intern
Intern
avatar
B
Joined: 31 Aug 2018
Posts: 3
GMAT 1: 610 Q43 V31
Re: If O is the center of the circle shown in the figure, what is the sum  [#permalink]

Show Tags

New post 09 Oct 2018, 05:12
Bunuel Hello, I tried solving for statement (B):
(180-0.5y)/2 - (180-y)/2 = 15
therefore 0.5y/2 = 15
therefore y=60.
so we can find x+y+z using this method (15+60+15).

Why is B not sufficient then?
VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1019
WE: Supply Chain Management (Energy and Utilities)
Re: If O is the center of the circle shown in the figure, what is the sum  [#permalink]

Show Tags

New post 14 Oct 2018, 08:31
yarawehbe1 wrote:
Bunuel Hello, I tried solving for statement (B):
(180-0.5y)/2 - (180-y)/2 = 15
therefore 0.5y/2 = 15
therefore y=60.
so we can find x+y+z using this method (15+60+15).

Why is B not sufficient then?



Hi yarawehbe1,
Could you please elaborate (180-0.5y)/2 - (180-y)/2 = 15 ?
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
GMAT Club Bot
Re: If O is the center of the circle shown in the figure, what is the sum   [#permalink] 14 Oct 2018, 08:31
Display posts from previous: Sort by

If O is the center of the circle shown in the figure, what is the sum

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





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