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

 It is currently 22 May 2013, 05:42

# If Polygon X has fewer than 9 sides, how many sides does

Author Message
TAGS:
Director
Joined: 10 Feb 2006
Posts: 671
Followers: 1

Kudos [?]: 11 [0], given: 0

If Polygon X has fewer than 9 sides, how many sides does [#permalink]  23 Nov 2007, 11:02
If Polygon X has fewer than 9 sides, how many sides does Polygon X have?

(1) The sum of the interior angles of Polygon X is divisible by 16.

(2) The sum of the interior angles of Polygon X is divisible by 15.
_________________

GMAT the final frontie!!!.

Manager
Joined: 25 Jul 2007
Posts: 108
Followers: 1

Kudos [?]: 8 [0], given: 0

For any polygon, sum of interior angles = (n-2)*180.

Given: n<9

A) (n-2)*180 is divisible by 16. Only one value of 'n' (n = 6) is possible.
Sufficient.

B) (n-2)*180 is divisible by 15. 180 is divisible by 15. Therefore there are multiple possible values for 'n'.
Insufficient.
Senior Manager
Joined: 06 Aug 2007
Posts: 371
Followers: 1

Kudos [?]: 19 [0], given: 0

jbs wrote:

For any polygon, sum of interior angles = (n-2)*180.

Given: n<9

A) (n-2)*180 is divisible by 16. Only one value of 'n' (n = 6) is possible.
Sufficient.

B) (n-2)*180 is divisible by 15. 180 is divisible by 15. Therefore there are multiple possible values for 'n'.
Insufficient.

Same strategy...only A is sufficient..since (n-2)*180 is always divisible by 15.

1. (N-2)*180/16 = (N-2)*45/4

SO (N-2) should be divisible by 4 and only when N= 6 its possible!!
Similar topics Replies Last post
Similar
Topics:
How many diagonals does a polygon with 21 sides have, if one 5 09 Feb 2006, 18:00
How many diagonals does a polygon with 21 sides have, if one 3 06 Aug 2007, 18:32
If Polygon X has fewer than 9 sides, how many sides does 3 20 Feb 2008, 08:22
1 If Polygon X has fewer than 9 sides, how many sides does 7 11 Feb 2012, 18:15
Display posts from previous: Sort by