It is currently 17 Oct 2017, 10:33

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

Events & Promotions in June
Open Detailed Calendar

The greatest number of diagonals that can be drawn from one vertex of

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128565 [0], given: 12180

The greatest number of diagonals that can be drawn from one vertex of [#permalink]

Show Tags

New post 19 Sep 2017, 23:47
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

84% (00:22) correct 16% (00:25) wrong based on 19 sessions

HideShow timer Statistics

Kudos [?]: 128565 [0], given: 12180

Manager
Manager
User avatar
S
Joined: 25 Nov 2015
Posts: 218

Kudos [?]: 62 [0], given: 234

Location: India
GPA: 3.64
WE: Engineering (Energy and Utilities)
GMAT ToolKit User Reviews Badge
Re: The greatest number of diagonals that can be drawn from one vertex of [#permalink]

Show Tags

New post 20 Sep 2017, 06:14
Bunuel wrote:
The greatest number of diagonals that can be drawn from one vertex of a regular six sided polygon is

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6


Drawing a regular hexagon.
We see that the greatest no. of diagonals can be 3.

Answer B

Please press kudos, if u liked my post!
_________________

When the going gets tough, the tough gets going...

Kudos [?]: 62 [0], given: 234

Director
Director
avatar
P
Joined: 22 May 2016
Posts: 799

Kudos [?]: 252 [0], given: 544

The greatest number of diagonals that can be drawn from one vertex of [#permalink]

Show Tags

New post 20 Sep 2017, 07:02
Bunuel wrote:
The greatest number of diagonals that can be drawn from one vertex of a regular six sided polygon is

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

It's probably easier to draw and count with this small number of sides.

But if the number of sides were greater (36? ugh), it would be better to know that

The number of diagonals that can be drawn from one vertex of a regular n-sided polygon is (n - 3)

That formula underlies the formula for the total number of diagonals for a regular n-sided polygon:\(\frac{n(n-3)}{2}\)

(n - 3) makes sense. There are as many vertices as there are sides.

To draw a diagonal, you cannot include three vertices in the count of diagonals from one vertex to another: the vertex from which you start (there is no "other" vertex) and the two adjacent vertices (those are sides). There are n vertices. Hence (n - 3).

So from one vertex of a regular six-sided polygon, you can draw (6 - 3) = 3 diagonals

Answer B

Kudos [?]: 252 [0], given: 544

The greatest number of diagonals that can be drawn from one vertex of   [#permalink] 20 Sep 2017, 07:02
Display posts from previous: Sort by

The greatest number of diagonals that can be drawn from one vertex of

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.