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18 Feb 2016, 18:56
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
69% (00:32) correct
31%
(00:32)
wrong
based on 137
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There is a n-polygon, what is the value of n?
1) The sum of the inner angles is 900 degrees.
2) All the sides of the polygon have the same length.
* A solution will be posted in two days.
1) The sum of the inner angles is 900 degrees.
2) All the sides of the polygon have the same length.
* A solution will be posted in two days.
mahakmalik
Joined: 30 Apr 2015
Last visit: 08 May 2016
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Status:Build your own dreams,Otherwise some one else will hire you to build there's.
Location: India
Concentration: Finance
Schools: BYU-Marriott'18
GMAT 1: 590 Q45 V26
GMAT 2: 660 Q47 V34
GPA: 3.68
18 Feb 2016, 23:48
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Why will the answer be?
The formula 180(n-2) is valid only if it is a regular polygon.Which we get to know by statement 2.
Is there something that i am missing?
The formula 180(n-2) is valid only if it is a regular polygon.Which we get to know by statement 2.
Is there something that i am missing?
20 Feb 2016, 23:34
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
There is a n-polygon, what is the value of n?
1) The sum of the inner angles is 900o.
2) All the sides of the polygon have the same length.
In the original condition, there is 1 variable(n), which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equatin, which is likely to make D the answer.
For 1), n=7 is derived from 180(n-2)=900, which is unique and sufficient.
For 2), the value of n is not unique and not sufficient.
Therefore, the answer is A.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
There is a n-polygon, what is the value of n?
1) The sum of the inner angles is 900o.
2) All the sides of the polygon have the same length.
In the original condition, there is 1 variable(n), which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equatin, which is likely to make D the answer.
For 1), n=7 is derived from 180(n-2)=900, which is unique and sufficient.
For 2), the value of n is not unique and not sufficient.
Therefore, the answer is A.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
. As sum of angles is 900 only one value of N will satisfy. And N is 7. So answer is A. 
