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

It is currently 21 Jan 2019, 08:02

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

     January 21, 2019

     January 21, 2019

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

The sum of the interior angles of any polygon with n sides

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

Hide Tags

 
Moderator
avatar
V
Joined: 21 Jun 2014
Posts: 1113
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member
The sum of the interior angles of any polygon with n sides  [#permalink]

Show Tags

New post 23 Dec 2018, 08:44
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (00:56) correct 23% (01:01) wrong based on 35 sessions

HideShow timer Statistics

The sum of the interior angles of any polygon with n sides is 180(n - 2) degrees. If the sum of the interior angles of polygon P is three times the sum of the interior angles of quadrilateral Q, how many sides does P have?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 14

Project PS Butler : Question #96


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS

_________________

---------------------------------------------------------------
Target - 720-740
Project PS Butler - https://gmatclub.com/forum/project-ps-butler-practice-everyday-280904.html
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

Intern
Intern
avatar
B
Joined: 24 Jun 2018
Posts: 7
Re: The sum of the interior angles of any polygon with n sides  [#permalink]

Show Tags

New post 23 Dec 2018, 12:57
Answer is B ie. 8.

Sum of the internal angles of a quadrilateral is 360.
{Even if during the exam, the above fact isn't known by the examinee, one can simply substitute 4 in the formula stated in the question to get 360. 180(n-2) => 180(4-2) => 360}


Question states that sum of internal angles of a certain polygon P is three times the sum of internal angles of quadrilateral Q.

Hence, the Sum of internal angles(S) = 3 x 360 = 1080.

S=1080=180(n-2)

Hence, n=8
VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1273
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Re: The sum of the interior angles of any polygon with n sides  [#permalink]

Show Tags

New post 23 Dec 2018, 17:53
180(n-2)=3*360

n= 8

IMO B




HKD1710 wrote:
The sum of the interior angles of any polygon with n sides is 180(n - 2) degrees. If the sum of the interior angles of polygon P is three times the sum of the interior angles of quadrilateral Q, how many sides does P have?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 14

Project PS Butler : Question #96


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS

_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3334
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: The sum of the interior angles of any polygon with n sides  [#permalink]

Show Tags

New post 24 Dec 2018, 00:12
By definition, a quadrilateral has 4 sides and the sum of interior angles is 360.

From the question stem, we have been told that the sum of the interior angles of
the polygon is thrice the sum of the interior angles of the polygon(\(3*360 = 1080\))

Solving for n, we get \(180(n - 2) = 1080\) -> \(n - 2 = \frac{1080}{180} = 6\) -> \(n = 8\)

Therefore, Polygon P has 8(Option B) sides whose interior angles sum thrice that of a quadrilateral.
_________________

You've got what it takes, but it will take everything you've got

GMAT Club Bot
Re: The sum of the interior angles of any polygon with n sides &nbs [#permalink] 24 Dec 2018, 00:12
Display posts from previous: Sort by

The sum of the interior angles of any polygon with n sides

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


Copyright

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®.