It is currently 26 Jun 2019, 02:02
My 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.

In the circle, line segments AD, BE, and CF all pass through

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 7019
Followers: 117

Kudos [?]: 1369 [0], given: 6383

CAT Tests
In the circle, line segments AD, BE, and CF all pass through [#permalink] New post 04 Mar 2017, 03:19
Expert's post
00:00

Question Stats:

75% (00:59) correct 24% (01:12) wrong based on 62 sessions


Attachment:
#GREpracticequestion In the circle, line segments AD, BE, and CF.jpg
#GREpracticequestion In the circle, line segments AD, BE, and CF.jpg [ 11.7 KiB | Viewed 1475 times ]



In the circle, line segments AD, BE, and CF all pass through center 0.

Quantity A
Quantity B
The area of shaded sector BOC
The area of shaded sector AOF



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1910 [0], given: 397

Re: In the circle, line segments AD, BE, and CF all pass through [#permalink] New post 07 Mar 2017, 15:37
Expert's post
Explanation

The sector with the greatest central angle will have the greatest area.

Angle BOC is a vertical angle with angle EOF, so BOC also equals 42°.

Angle AOB + angle AOF + angle EOF = 180° (because BE is a straight line).

\(\angle AOB + \angle AOF + \angle EOF =180\)

\(95 + \angle AOF + 42 = 180\)

\(95+ \angle AOF + 42 = 180\)

\(137 + \angle AOF = 180\)

\(\angle AOF = 43\)

Because angle AOF is greater than angle BOC, sector AOF is greater. Hence option B is correct.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 2022
Followers: 62

Kudos [?]: 1841 [1] , given: 9

CAT Tests
Re: In the circle, line segments AD, BE, and CF all pass through [#permalink] New post 18 Feb 2019, 08:44
1
This post received
KUDOS
Expert's post
Carcass wrote:


Attachment:
#GREpracticequestion In the circle, line segments AD, BE, and CF.jpg


Image

In the circle, line segments AD, BE, and CF all pass through center 0.

Quantity A
Quantity B
The area of shaded sector BOC
The area of shaded sector AOF



Since angles on a line must add to 180°...
Image
...we can conclude that ∠AOF = 43°


Since opposite angles are EQUAL...
Image
...we can conclude that ∠BOC = 42°


We now have...
Image
Since sector AOF has a greater central angle (43°) than sector BOC (42°), we can conclude that the AREA of sector AOF is greater than the AREA of sector BOC

Answer: B

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for my free GRE Question of the Day emails

Re: In the circle, line segments AD, BE, and CF all pass through   [#permalink] 18 Feb 2019, 08:44
Display posts from previous: Sort by

In the circle, line segments AD, BE, and CF all pass through

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.