Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
14 Aug 2008, 06:41
Kudos
Bookmarks
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
0% (00:00) correct
0%
(00:00)
wrong
based on 0
sessions
History
Date
Time
Result
Not Attempted Yet
R is a convex polygon. Does R have at least 8 sides?
(1) Exactly 3 of the interior angles of R are greater than 80 degrees.
(2) None of the interior angles of R are less than 60 degrees.
Please explain your answer.
Thanks
(1) Exactly 3 of the interior angles of R are greater than 80 degrees.
(2) None of the interior angles of R are less than 60 degrees.
Please explain your answer.
Thanks
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
14 Aug 2008, 07:14
Kudos
Bookmarks
A.
1) consider an 8 sides polygon, the sum of angles= 6*180 = 1080
Only 3 angles can be greater than 80 and the polygon is convex polygon so each angle must be < 180
let the measure of 3 angles each be 170
170* 3 = 510
sum of remaining angles = 1080 - 510 = 570
each of remaining angles= 570/3 = 190..which cant be true...
thus the polygon cant have atleast 8 sides.
suff
2) This can be true for any polygon, e.g. rectangle, hexagon or 9 sided polygon as well.
Thus insuff
1) consider an 8 sides polygon, the sum of angles= 6*180 = 1080
Only 3 angles can be greater than 80 and the polygon is convex polygon so each angle must be < 180
let the measure of 3 angles each be 170
170* 3 = 510
sum of remaining angles = 1080 - 510 = 570
each of remaining angles= 570/3 = 190..which cant be true...
thus the polygon cant have atleast 8 sides.
suff
2) This can be true for any polygon, e.g. rectangle, hexagon or 9 sided polygon as well.
Thus insuff
14 Aug 2008, 09:23
Kudos
Bookmarks
tarek99
A very very good question.
Answer A.
The sum total of an 8 sided convex polygon = 1080
If, three of the interior angles have a degree measure of more than 80, the rest of the 5 angles will have a degree measure of less than 80.
In a convex polygon none of the angle can be greater than 180.
considering the worst case scenario:
The 3 angles greater than 80, can at max have a degree measure of 179.
And the rest of the five angles, can at max have a degree measure of 79.
179*3 + 79*5 < 1080
The second is too broad of an option to give any kind of an answer.
