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# If N is a polygon, what is the shape of the polygon? 1. N has 15 diago

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If N is a polygon, what is the shape of the polygon? 1. N has 15 diago [#permalink]

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15 Apr 2017, 09:08
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Source: McGraw Hill GMAT

If N is a polygon, what is the shape of the polygon?

1. N has 15 diagonals.
2. When N is regular, each exterior angle is 60◦
[Reveal] Spoiler: OA

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Re: If N is a polygon, what is the shape of the polygon? 1. N has 15 diago [#permalink]

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15 Apr 2017, 09:20
statement 1 would water down to n*(n-1)/2-n =15 and that gives a quadratic equation with two roots one being positive(accepted), other being negative (discarded) and thus, results in a unique solution -> sufficient.
Statement 2 could easily be proved sufficient => answer option D

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Re: If N is a polygon, what is the shape of the polygon? 1. N has 15 diago [#permalink]

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15 Apr 2017, 09:34
the sum of the measures of the exterior angles of a polygon is always 360. Hence ii point suggests it will be hexagon.

Ans D.

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Re: If N is a polygon, what is the shape of the polygon? 1. N has 15 diago [#permalink]

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26 Apr 2017, 04:51
no. of diagonal n(n-3) /2 = 15 hence sufficient only one postive solution
Exterior angle is 60 degree . hence hexagonal ..sufficient

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Re: If N is a polygon, what is the shape of the polygon? 1. N has 15 diago [#permalink]

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02 May 2017, 00:40
IMO B

the first statement will not yield in any "integral value" of n

Waiting for expert opinion

@Buneul plz comment.

Thanks

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Re: If N is a polygon, what is the shape of the polygon? 1. N has 15 diago   [#permalink] 02 May 2017, 00:40
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