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

 It is currently 20 Jan 2019, 20:11

### 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

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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### 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.

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

Author Message
TAGS:

### Hide Tags

Intern
Joined: 29 Dec 2016
Posts: 20
Location: India
GMAT 1: 480 Q22 V22
What is the number of sides of a regular polygon in which 1/3rd of the  [#permalink]

### Show Tags

22 Aug 2018, 23:42
2
00:00

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
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

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
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

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
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

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

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