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

 It is currently 06 Oct 2015, 20:55

### 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 June
Open Detailed Calendar

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

Author Message
TAGS:
Manager
Joined: 09 Feb 2013
Posts: 121
Followers: 1

Kudos [?]: 467 [0], given: 17

A regular polygon can be constructed with a compass and stra [#permalink]  12 Mar 2013, 07:35
1
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

61% (02:37) correct 39% (01:23) wrong based on 113 sessions
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.

Manager
Joined: 24 Jan 2013
Posts: 81
Followers: 5

Kudos [?]: 105 [2] , given: 6

Re: A regular polygon can be constructed with a compass and stra [#permalink]  13 Mar 2013, 08:05
2
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.

_________________

Does this post deserve KUDOS?

Free Flashcards: Free GMAT Flashcards

There are many things you want to know before doing the GMAT exam (how is exam day, what to expect, how to think, to do's...), and you have them in this blog, in a simple way

Current Student
Status: After a long voyage, land is visible.
Joined: 22 Mar 2013
Posts: 991
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 120

Kudos [?]: 866 [0], given: 223

Re: A regular polygon can be constructed with a compass and stra [#permalink]  01 Apr 2014, 01:09
I think following wording is ambiguous :

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

1st interpretation :

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

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

60= 2^n * {3 or 5}

2nd interpretation :

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

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

60= 2^n * {3 and 5}

_________________

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

Kudos [?]: 6 [0], given: 118

Re: A regular polygon can be constructed with a compass and stra [#permalink]  26 Jul 2014, 22:02
yes the wordings in the question is ambiguous ....esp coz of option E
Re: A regular polygon can be constructed with a compass and stra   [#permalink] 26 Jul 2014, 22:02
Similar topics Replies Last post
Similar
Topics:
1 ABCDEF is a regular six sided polygon, and EFG is a regular three side 1 01 Oct 2014, 02:45
4 ABCDEF is a regular six sided polygon, and EFG is a regular three side 2 30 Sep 2014, 12:29
5 What is the perimeter of a regular polygon with sides of len 3 12 Jun 2014, 22:39
57 Consider a regular polygon of p sides. The number of values 15 21 May 2011, 02:33
If the sum of the interior angles of a regular polygon... 6 05 Oct 2010, 04:40
Display posts from previous: Sort by