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In the figure above, polygon N has been partially covered by a piece

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In the figure above, polygon N has been partially covered by a piece  [#permalink]

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New post 08 Mar 2018, 21:24
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  45% (medium)

Question Stats:

53% (00:59) correct 47% (01:42) wrong based on 46 sessions

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In the figure above, polygon N has been partially covered by a piece of paper. How many sides does N have?

(1) x + y = 45
(2) N is a regular polygon

Attachment:
Hidden_polygon_1.png
Hidden_polygon_1.png [ 3.95 KiB | Viewed 419 times ]

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Re: In the figure above, polygon N has been partially covered by a piece  [#permalink]

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New post 08 Mar 2018, 21:24
Bunuel wrote:
In the figure above, polygon N has been partially covered by a piece of paper. How many sides does N have?

(1) x + y = 45
(2) N is a regular polygon


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Collection of Questions:
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Re: In the figure above, polygon N has been partially covered by a piece  [#permalink]

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New post 09 Mar 2018, 00:47
1
Bunuel wrote:
In the figure above, polygon N has been partially covered by a piece of paper. How many sides does N have?

(1) x + y = 45
(2) N is a regular polygon


Bunuel Figure is missing. Please post the figure as well.
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Re: In the figure above, polygon N has been partially covered by a piece  [#permalink]

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New post 09 Mar 2018, 00:50
GMATinsight wrote:
Bunuel wrote:
In the figure above, polygon N has been partially covered by a piece of paper. How many sides does N have?

(1) x + y = 45
(2) N is a regular polygon


Bunuel Figure is missing. Please post the figure as well.


Added the figure. Thank you.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: In the figure above, polygon N has been partially covered by a piece  [#permalink]

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New post 09 Mar 2018, 01:03
Bunuel wrote:
Image
In the figure above, polygon N has been partially covered by a piece of paper. How many sides does N have?

(1) x + y = 45
(2) N is a regular polygon

Attachment:
Hidden_polygon_1.png


As per the figure, we see a triangle which has three angles x, y and an interior angle of the polygon

Each Exterior angle of a polygon = 360/n
Each Interior angle of a polygon = 180-360/n

where n = number of the sides in the regular polygon

Statement 1: x + y = 45

i.e. Third angle = 180 - (x+y) = 180-45 = 135
but we don't know if it's a regular polygon or not hence
NOT SUFFICIENT

Statement 2: N is a regular polygon
But we can't predict the number of sides unless we have measure one of the angles of the polygon hence
NOT SUFFICIENT

Combining the two statements
i.e. Third angle = 180 - (x+y) = 180-45 = 135

Each Interior angle of a polygon = 180-360/n
where n = number of the sides in the regular polygon

i.e. 135 = 180-360/n
i.e. n = 8 hence

SUFFICIENT

Answer: option C
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Re: In the figure above, polygon N has been partially covered by a piece &nbs [#permalink] 09 Mar 2018, 01:03
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