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18 May 2018, 05:13
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B
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:
74% (00:33) correct
26%
(00:35)
wrong
based on 413
sessions
History
Date
Time
Result
Not Attempted Yet
How many sides does polygon P have?
(1) All sides of P have equal lengths.
(2) The sum of the measures of the interior angles of P is \(1,440^{\circ}\)
(1) All sides of P have equal lengths.
(2) The sum of the measures of the interior angles of P is \(1,440^{\circ}\)
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
18 May 2018, 05:35
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alanforde800Maximus
(1) All sides of P have equal lengths. - Clearly Not Sufficient.
(2) The sum of the measures of the interior angles of P is \(1,440^{\circ}\) - Sufficient.
Sum of Interior angles of a polygon = \((n-2)\) * \(180^{\circ}\)=\(1440^{\circ}\) \(-> n=10.\)
As its a DS question so, if we know the formula, we know that B will be sufficient. We don't have to do the entire calculation.
Answer: (B).
18 May 2018, 09:24
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alanforde800Maximus
Target question: How many sides does polygon P have?
Statement 1: All sides of P have equal lengths.
There are infinitely many polygons that satisfy statement 1. Here are two:
Case a: Polygon P is an equilateral triangle. In this case, the answer to the target question is polygon P has 3 sides
Case b: Polygon P is a square. In this case, the answer to the target question is polygon P has 4 sides
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: The sum of the measures of the interior angles of P is 1440º
Useful rule: the sum of the angles in an n-sided polygon = (n - 2)(180º)
So, we can write the equation: (n - 2)(180º) = 1440º
STOP: We need not solve this equation for n.
We need only recognize that we COULD solve it for n (but we won't, because that would be a waste of valuable time)
Since we COULD answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
