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

 It is currently 24 May 2019, 13:20

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

Is the pentagon ABCDE whose point A is on the circle a regular pentago

Author Message
TAGS:

Hide Tags

Manager
Joined: 04 Jul 2017
Posts: 59
Location: India
Concentration: Marketing, General Management
GPA: 1
WE: Analyst (Consulting)
Is the pentagon ABCDE whose point A is on the circle a regular pentago  [#permalink]

Show Tags

26 Aug 2017, 09:43
1
00:00

Difficulty:

(N/A)

Question Stats:

21% (01:33) correct 79% (01:10) wrong based on 28 sessions

HideShow timer Statistics

Is the pentagon ABCDE whose point A is on the circle a regular pentagon?

Stmt 1: All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.
Stmt 2: Angle ABC is equal to Angle CDE is equal to 108 degrees.

Math Expert
Joined: 02 Aug 2009
Posts: 7686
Re: Is the pentagon ABCDE whose point A is on the circle a regular pentago  [#permalink]

Show Tags

26 Aug 2017, 09:49
aashishagarwal2 wrote:
Is the pentagon ABCDE whose point A is on the circle a regular pentagon?

Stmt 1: All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.
Stmt 2: Angle ABC is equal to Angle CDE is equal to 108 degrees.

OA: I don't have the OA as its not mentioned, part of Home Work.

Hi..

statement I just tells you that all the points are on the circle..
statement II tells us two angles are 108 but the points other than A could be anywhere..

combined..
for a regular pentagon, all angles should be 108..
we do not know about the sides too, if they are equal or not..

insuff

E
_________________
Manager
Joined: 04 Jul 2017
Posts: 59
Location: India
Concentration: Marketing, General Management
GPA: 1
WE: Analyst (Consulting)
Re: Is the pentagon ABCDE whose point A is on the circle a regular pentago  [#permalink]

Show Tags

26 Aug 2017, 12:57
chetan2u wrote:
aashishagarwal2 wrote:
Is the pentagon ABCDE whose point A is on the circle a regular pentagon?

Stmt 1: All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.
Stmt 2: Angle ABC is equal to Angle CDE is equal to 108 degrees.

OA: I don't have the OA as its not mentioned, part of Home Work.

Hi..

statement I just tells you that all the points are on the circle..
statement II tells us two angles are 108 but the points other than A could be anywhere..

combined..
for a regular pentagon, all angles should be 108..
we do not know about the sides too, if they are equal or not..

insuff

E

I may be wrong. But Stmt I says that points of pentagon (it's vertices) are equidistant from the center. Can that mean its sides are equal and/or something?
Current Student
Joined: 02 Jul 2017
Posts: 294
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Re: Is the pentagon ABCDE whose point A is on the circle a regular pentago  [#permalink]

Show Tags

26 Aug 2017, 13:18
aashishagarwal2 wrote:
chetan2u wrote:
aashishagarwal2 wrote:
Is the pentagon ABCDE whose point A is on the circle a regular pentagon?

Stmt 1: All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.
Stmt 2: Angle ABC is equal to Angle CDE is equal to 108 degrees.

OA: I don't have the OA as its not mentioned, part of Home Work.

Hi..

statement I just tells you that all the points are on the circle..
statement II tells us two angles are 108 but the points other than A could be anywhere..

combined..
for a regular pentagon, all angles should be 108..
we do not know about the sides too, if they are equal or not..

insuff

E

I may be wrong. But Stmt I says that points of pentagon (it's vertices) are equidistant from the center. Can that mean its sides are equal and/or something?

statement 1 : All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.

As given A lies on circumference of circle and all the points are equidistant from circle => that all other points lie on circumference of circle as well.
That is the given pentagon is Cyclic pentagon (`Can be regular or irregular pentagon)
Re: Is the pentagon ABCDE whose point A is on the circle a regular pentago   [#permalink] 26 Aug 2017, 13:18
Display posts from previous: Sort by