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Is triangle MNP isosceles?

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by BTGModeratorVI » Mon Sep 14, 2020 8:50 am

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Is triangle MNP isosceles?

(1) Exactly two of the angles, M and N, have the same measure.
(2)Angles N and P do not have the same measure.

Answer: A
Source: Official guide
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Source: — Data Sufficiency |

Re: Is triangle MNP isosceles?

by Brent@GMATPrepNow » Tue Sep 15, 2020 6:18 am
BTGModeratorVI wrote:
Mon Sep 14, 2020 8:50 am
Is triangle MNP isosceles?

(1) Exactly two of the angles, M and N, have the same measure.
(2)Angles N and P do not have the same measure.

Answer: A
Source: Official guide
Target question: Is triangle MNP isosceles?

Statement 1: Exactly two of the angles, M and N, have the same measure.
Perfect. This is the precise definition of an isosceles triangle
The answer to the target question is YES, triangle MNP is isosceles
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: Angles N and P do not have the same measure
Here are two conflicting scenarios that satisfied statement 2
Case a: ∠N = 50°, ∠P = 80°, and ∠M = 50°. In this case, the answer to the target question is YES, triangle MNP is isosceles
Case b: ∠N = 50°, ∠P = 70°, and ∠M = 60°. In this case, the answer to the target question is NO, triangle MNP is not isosceles
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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