Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 Aug 2016, 05:56
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A regular polygon can be constructed with a compass and stra

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

Hide Tags

Manager
Manager
avatar
Joined: 09 Feb 2013
Posts: 120
Followers: 1

Kudos [?]: 721 [0], given: 17

A regular polygon can be constructed with a compass and stra [#permalink]

Show Tags

New post 12 Mar 2013, 08:35
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

62% (02:31) correct 38% (01:18) wrong based on 130 sessions

HideShow timer Statistics

A regular polygon can be constructed with a compass and straightedge if its number of sides is either any power of 2, any product of the five distinct primes 3, 5, 17, 257, and 65537, or the product of any power of 2 and any of the five distinct primes. Which of the following regular polygons is NOT constructable with a compass and straightedge?

A. A 15-sided regular polygon
B. An 18-sided regular polygon
C. A 48-sided regular polygon
D. A 51-sided regular polygon
E. A 60-sided regular polygon
[Reveal] Spoiler: OA

_________________

Kudos will encourage many others, like me.
Good Questions also deserve few KUDOS.

2 KUDOS received
Manager
Manager
User avatar
Joined: 24 Jan 2013
Posts: 79
Followers: 5

Kudos [?]: 122 [2] , given: 6

Re: A regular polygon can be constructed with a compass and stra [#permalink]

Show Tags

New post 13 Mar 2013, 09:05
2
This post received
KUDOS
a) 15: the product of the distinct prime numbers 3 and 5 (i.e. 3x5)
b) 18
c) 48: the product of the 4th power of 2, and the prime number 3 (i.e. 16x3)
d) 51: the product of the distinct prime numbers 3 and 17 (i.e. 3x17)
e) 60: the product of the 2nd power of 2, and the distinct prime numbers 5 and 3 (i.e. 4x5x3)

By the way, decomposing 18 gives: 2x3x3 ----> prime number 3 is repeated, so this does not satisfy the conditions to build a regular polygon with a compass and straightedge.

The answer is B
Current Student
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 993
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 159

Kudos [?]: 1257 [0], given: 226

Premium Member Reviews Badge
Re: A regular polygon can be constructed with a compass and stra [#permalink]

Show Tags

New post 01 Apr 2014, 02:09
I think following wording is ambiguous : :roll:

"the product of any power of 2 and any of the five distinct primes"

1st interpretation : :shock:

\(2^n * any-of-the-prime-from-set[ 3, 5, 17, 257, 65537 ]\)

Option E (A 60-sided regular polygon) does not qualifies for above interpretation.

60= 2^n * {3 or 5}

2nd interpretation : :shock:

\(2^n * any-product-of-the-prime-from-set[ 3, 5, 17, 257, 65537 ]\)

Option E (A 60-sided regular polygon) qualifies for above interpretation.

60= 2^n * {3 and 5}

:agrue:
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Intern
Intern
User avatar
Status: Pursuit of happyness
Joined: 07 Nov 2012
Posts: 27
Location: India
Concentration: General Management, Leadership
GMAT Date: 04-24-2013
WE: General Management (Energy and Utilities)
Followers: 0

Kudos [?]: 6 [0], given: 297

Premium Member CAT Tests
Re: A regular polygon can be constructed with a compass and stra [#permalink]

Show Tags

New post 26 Jul 2014, 23:02
yes the wordings in the question is ambiguous ....esp coz of option E
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11068
Followers: 511

Kudos [?]: 134 [0], given: 0

Premium Member
Re: A regular polygon can be constructed with a compass and stra [#permalink]

Show Tags

New post 06 Jun 2016, 12:18
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2015
Posts: 388
Concentration: Strategy, General Management
Followers: 2

Kudos [?]: 46 [0], given: 10

Re: A regular polygon can be constructed with a compass and stra [#permalink]

Show Tags

New post 06 Jun 2016, 22:06
18 = 2*3*3
an additional 3 , therefore B
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6830
Location: Pune, India
Followers: 1923

Kudos [?]: 11938 [0], given: 221

Re: A regular polygon can be constructed with a compass and stra [#permalink]

Show Tags

New post 06 Jun 2016, 22:48
sivaspurthy wrote:
yes the wordings in the question is ambiguous ....esp coz of option E


"any" means "one or more"

So when we say "the product of any power of 2 and any of the five distinct primes," it means one or more of the 5 distinct primes could be taken.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Re: A regular polygon can be constructed with a compass and stra   [#permalink] 06 Jun 2016, 22:48
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic ABCDEFGHI is a regular polygon with nine sides. What is the measure in Bunuel 2 09 Dec 2015, 08:52
8 Experts publish their posts in the topic ABCDEF is a regular six sided polygon, and EFG is a regular three side goodyear2013 3 30 Sep 2014, 13:29
5 What is the perimeter of a regular polygon with sides of len phlaym39 3 12 Jun 2014, 23:39
78 Experts publish their posts in the topic Consider a regular polygon of p sides. The number of values hussi9 16 21 May 2011, 03:33
1 Experts publish their posts in the topic If the sum of the interior angles of a regular polygon measures up to pzazz12 7 05 Oct 2010, 05:40
Display posts from previous: Sort by

A regular polygon can be constructed with a compass and stra

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.