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

It is currently 20 Jan 2019, 20:11

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

What is the number of sides of a regular polygon in which 1/3rd of the

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

Hide Tags

 
Intern
Intern
User avatar
B
Joined: 29 Dec 2016
Posts: 20
Location: India
Concentration: Finance, International Business
GMAT 1: 480 Q22 V22
GMAT ToolKit User
What is the number of sides of a regular polygon in which 1/3rd of the  [#permalink]

Show Tags

New post 22 Aug 2018, 23:42
2
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

53% (01:55) correct 47% (00:54) wrong based on 34 sessions

HideShow timer Statistics

What is the number of sides of a regular polygon in which 1/3rd of the sum of exterior angle is equal to the each interior angle ?

(A) 3

(B) 4

(C) 5

(D) 6

(E) 8

_________________

Dread it, Run from it, Destiny still arrives.

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7210
Re: What is the number of sides of a regular polygon in which 1/3rd of the  [#permalink]

Show Tags

New post 22 Aug 2018, 23:52
2
1
Thanos7 wrote:
What is the number of sides of a regular polygon in which 1/3rd of the sum of exterior angle is equal to the each interior angle ?

(A) 3

(B) 4

(C) 5

(D) 6

(E) 8



sum of interior angles = \((n-2)*180\)...... so each interior angle = \(\frac{(n-2)*180}{n}\).
Sum of exterior angles = 360

thus \(\frac{(n-2)*180}{n}=\frac{1}{3}*360.............(n-2)*180=120n..........180n-120n=360......n=6\).

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Manager
Manager
User avatar
S
Joined: 05 Mar 2017
Posts: 191
Concentration: Operations, General Management
Re: What is the number of sides of a regular polygon in which 1/3rd of the  [#permalink]

Show Tags

New post 27 Aug 2018, 06:18
chetan2u wrote:
Thanos7 wrote:
What is the number of sides of a regular polygon in which 1/3rd of the sum of exterior angle is equal to the each interior angle ?

(A) 3

(B) 4

(C) 5

(D) 6

(E) 8



sum of interior angles = \((n-2)*180\)...... so each interior angle = \(\frac{(n-2)*180}{n}\).
Sum of exterior angles = 360

thus \(\frac{(n-2)*180}{n}=\frac{1}{3}*360.............(n-2)*180=120n..........180n-120n=360......n=6\).

D


chetan2u I may sound silly while asking this-
How to deduce the sum of exteriors=360?
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7210
Re: What is the number of sides of a regular polygon in which 1/3rd of the  [#permalink]

Show Tags

New post 27 Aug 2018, 06:37
1
siddreal wrote:
chetan2u wrote:
Thanos7 wrote:
What is the number of sides of a regular polygon in which 1/3rd of the sum of exterior angle is equal to the each interior angle ?

(A) 3

(B) 4

(C) 5

(D) 6

(E) 8



sum of interior angles = \((n-2)*180\)...... so each interior angle = \(\frac{(n-2)*180}{n}\).
Sum of exterior angles = 360

thus \(\frac{(n-2)*180}{n}=\frac{1}{3}*360.............(n-2)*180=120n..........180n-120n=360......n=6\).

D


chetan2u I may sound silly while asking this-
How to deduce the sum of exteriors=360?


Hi siddreal

Any polygon having n sides will have n angles and when you see each angle , the interior and exterior angles make a straight line and thus are equal to 180.

Therefore sum of all n interior angles and exterior angles is 180*n
But what is the sum of all interior angles of n sides = 180*(n-2)
So Sum of all exterior angles+180(n-2)=180n...
Sum of all exterior angles = 180n-180(n-2)=180n-180n+360=360
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: What is the number of sides of a regular polygon in which 1/3rd of the &nbs [#permalink] 27 Aug 2018, 06:37
Display posts from previous: Sort by

What is the number of sides of a regular polygon in which 1/3rd of the

  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®.