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

 It is currently 16 Jan 2019, 21:23

### 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
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# In a polygon, a diagonal is defined as the line that

Author Message
TAGS:

### Hide Tags

Intern
Joined: 07 Dec 2016
Posts: 40
In a polygon, a diagonal is defined as the line that  [#permalink]

### Show Tags

12 Apr 2017, 05:46
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:08) correct 38% (01:32) wrong based on 49 sessions

### HideShow timer Statistics

In a polygon, a diagonal is defined as the line that joins the vertex to any other vertex except the two adjacent vertices. How many diagonals does a seven sided polygon have?

A) 49
B) 42
C) 28
D) 21
E) 14

_________________

Cheers!
If u like my post..... payback in Kudos!!

Math Expert
Joined: 02 Sep 2009
Posts: 52164
Re: In a polygon, a diagonal is defined as the line that  [#permalink]

### Show Tags

12 Apr 2017, 06:03
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4331
Location: India
GPA: 3.5
Re: In a polygon, a diagonal is defined as the line that  [#permalink]

### Show Tags

12 Apr 2017, 07:48
1
2
amathews wrote:
In a polygon, a diagonal is defined as the line that joins the vertex to any other vertex except the two adjacent vertices. How many diagonals does a seven sided polygon have?

A) 49
B) 42
C) 28
D) 21
E) 14

No of diagonals of a Polygon : $$\frac{n(n - 3)}{2}$$ ; where n = Number of sides of the polygon.

So, No of diagonals of the 7 sided polygon : $$\frac{7*( 7 - 3 )}{2} = 14$$

Hence, the correct answer must be (E) 14
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: In a polygon, a diagonal is defined as the line that &nbs [#permalink] 12 Apr 2017, 07:48
Display posts from previous: Sort by