Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Aug 2016, 23:20
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If O is the center of the circle above, what fraction of the

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

Hide Tags

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34420
Followers: 6252

Kudos [?]: 79421 [0], given: 10016

If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 11 Sep 2012, 04:33
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:27) correct 10% (00:39) wrong based on 714 sessions

HideShow timer Statistics

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34420
Followers: 6252

Kudos [?]: 79421 [0], given: 10016

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 11 Sep 2012, 04:34
Expert's post
1
This post was
BOOKMARKED
SOLUTION

Image
If O is the center of the circle above, what fraction of the circular region is shaded?

(A) 1/12
(B) 1/9
(C) 1/6
(D) 1/4
(E) 1/3

150°+150°=300° of the circle is not shaded, hence 360°-300°=60° of the circle is shaded, which is \(\frac{60}{360}=\frac{1}{6}\) of the circular region.

Answer: C.
_________________

New to the Math Forum?
Please read this: 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
Manager
Manager
avatar
Joined: 12 Mar 2012
Posts: 171
Location: India
Concentration: Technology, General Management
GMAT Date: 07-23-2012
WE: Programming (Telecommunications)
Followers: 0

Kudos [?]: 45 [1] , given: 4

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 11 Sep 2012, 09:56
1
This post received
KUDOS
Bunuel wrote:

Attachment:
Circle.png
If O is the center of the circle above, what fraction of the circular region is shaded?

(A) 1/12
(B) 1/9
(C) 1/6
(D) 1/4
(E) 1/3




Total angle in a circle = 360 degree
One of Non-shaded angle = 150 degree
Other Non-shaded angle = 150 degree (?) because it is opposite angle
Total Non-shaded angle = 150 + 150 = 300 degree
So, shaded angle = 360 - 300 = 60 degree


Shaded angle 60
--------------- = ------- = 1/6
Total angle 360

Hence, C
_________________

FOCUS..this is all I need!

Ku-Do!

1 KUDOS received
Intern
Intern
avatar
Status: Life begins at the End of your Comfort Zone
Joined: 31 Jul 2011
Posts: 47
Location: Tajikistan
Concentration: General Management, Technology
GPA: 3.86
Followers: 1

Kudos [?]: 24 [1] , given: 4

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 11 Sep 2012, 09:57
1
This post received
KUDOS
I would say (C), but it seems such an easy answer. Anyways, here is the explanation: 360-2*150=60
60 degrees is the total of shaded regions, so 60/360 = 1/6.
So, please correct me if I went awry.

p.s.
where is trick here?
those shaded regions opposite to each other do not have equal angles?
_________________

God loves the steadfast.

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 15 Jun 2010
Posts: 368
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 10

Kudos [?]: 336 [1] , given: 50

Reviews Badge
Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 12 Sep 2012, 04:37
1
This post received
KUDOS
Bunuel wrote:

Attachment:
Circle.png
If O is the center of the circle above, what fraction of the circular region is shaded?

(A) 1/12
(B) 1/9
(C) 1/6
(D) 1/4
(E) 1/3



Since both Lines pass through centers they are alternate angles. Hence shaded degree measure is 360- (150x2)=60

So fraction of circle shaded = 60/360 = 1/6.

Hence Answer Choice C.
_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

1 KUDOS received
Director
Director
avatar
Joined: 24 Aug 2009
Posts: 504
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 13

Kudos [?]: 621 [1] , given: 241

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 12 Sep 2012, 12:57
1
This post received
KUDOS
Fraction of Shaded region = Angle made at the center by shaded region/ Angle at center of a circle
= (360-150*2)/360 = 60/360 = 1/6
Answer C
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34420
Followers: 6252

Kudos [?]: 79421 [0], given: 10016

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 14 Sep 2012, 05:28
SOLUTION

Image
If O is the center of the circle above, what fraction of the circular region is shaded?

(A) 1/12
(B) 1/9
(C) 1/6
(D) 1/4
(E) 1/3

150°+150°=300° of the circle is not shaded, hence 360°-300°=60° of the circle is shaded, which is \(\frac{60}{360}=\frac{1}{6}\) of the circular region.

Answer: C.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

New to the Math Forum?
Please read this: 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
User avatar
Joined: 23 May 2012
Posts: 5
Followers: 0

Kudos [?]: 10 [0], given: 1

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 15 Sep 2012, 08:35
Part of circle not shaded=150+150=300. So, shaded part is 360-300=60.
Required fraction is :60/360=1/6
_________________

subirhait

Manager
Manager
avatar
Joined: 07 Apr 2014
Posts: 147
Followers: 1

Kudos [?]: 19 [0], given: 81

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 10 Sep 2014, 03:54
Bunuel wrote:
Attachment:
Circle.png
If O is the center of the circle above, what fraction of the circular region is shaded?

(A) 1/12
(B) 1/9
(C) 1/6
(D) 1/4
(E) 1/3

Practice Questions
Question: 36
Page: 157
Difficulty: 550



not shaded is 150+150 =300.

so shaded has to be 360-300= 60..

60/360 = 1/6.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11042
Followers: 509

Kudos [?]: 133 [0], given: 0

Premium Member
Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 04 Feb 2016, 12:56
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
User avatar
Joined: 10 Jul 2015
Posts: 267
GMAT 1: 770 Q47 V48
WE: Education (Education)
Followers: 17

Kudos [?]: 150 [0], given: 35

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 10 May 2016, 18:13
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-10 at 5.50.02 PM.png
Screen Shot 2016-05-10 at 5.50.02 PM.png [ 67.54 KiB | Viewed 1790 times ]

Manager
Manager
User avatar
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 229
Location: United States (CA)
Followers: 5

Kudos [?]: 35 [0], given: 0

Re: If O is the center of the circle above, what fraction of the [#permalink]

Show Tags

New post 25 May 2016, 09:38
Bunuel wrote:
Attachment:
Circle.png
If O is the center of the circle above, what fraction of the circular region is shaded?

(A) 1/12
(B) 1/9
(C) 1/6
(D) 1/4
(E) 1/3


In solving this problem there are three angle rules that we must consider.

1) A circle measures a total of 360 degrees.

2) A straight angle measures 180 degrees.

3) Vertical angles, angles that are directly opposite one another, are always equal.

To solve, we can draw out a quick diagram of just the angles:

Image

Based on the angles we created, we know two important pieces of information:

1) angle A and 150 degrees sum to 180 degrees because they form a straight angle. Thus, angle A = 30 degrees.

2) angle A = angle B because they are vertical angles. Thus angle B = 30 degrees.

With this information we see that the shaded region represents 60 out of 360 degrees of the circle, or 60/360 = 1/6.

The answer is C.
_________________

Image
Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Re: If O is the center of the circle above, what fraction of the   [#permalink] 25 May 2016, 09:38
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic If O is the center of the circle shown above, what is the measure of x reto 2 09 May 2015, 04:46
Experts publish their posts in the topic The figure above shows three circles, all centered on point O. What is PareshGmat 2 30 Dec 2014, 20:59
19 Experts publish their posts in the topic In the figure above, showing circle with center O and points emmak 19 25 Feb 2013, 02:21
117 Experts publish their posts in the topic In the figure above, point O is the center of the circle and Bunuel 37 16 Jan 2011, 16:56
30 Experts publish their posts in the topic In the figure above, the radius of circle with center O is 1 over2u 19 27 Aug 2009, 12:03
Display posts from previous: Sort by

If O is the center of the circle above, what fraction of the

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


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.