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28 Oct 2014, 08:41
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
62% (01:33) correct
38%
(01:43)
wrong
based on 377
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Tough and Tricky questions: Geometry.
Triangle A has one side of length x. If √(x^8) = 81, what is the perimeter of Triangle A?
(1) Triangle A has sides whose lengths are consecutive integers
(2) Triangle A is NOT a right triangle
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
28 Oct 2014, 09:00
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Equation gives us -> x=3
Now - Consider -1) Triangle A has sides whose lengths are consecutive integers
Consecutive integers with having one value as 3 -
1-2-3, 2-3-4, 3-4-5.
In that 1-2-3 can not form triangle since it fails a necessary property of a triangle, i.e. -> a+b>c but here 1+2=3 -> so failed.
Rest two pairs are possible.
We can do much with those 2 pair so move two 2nd statement.
Now - Consider -2) Triangle A is NOT a right triangle
This kicks off 3-4-5 pair.
We r remained with just 1 pair- 1 solution -> Answer C
Now - Consider -1) Triangle A has sides whose lengths are consecutive integers
Consecutive integers with having one value as 3 -
1-2-3, 2-3-4, 3-4-5.
In that 1-2-3 can not form triangle since it fails a necessary property of a triangle, i.e. -> a+b>c but here 1+2=3 -> so failed.
Rest two pairs are possible.
We can do much with those 2 pair so move two 2nd statement.
Now - Consider -2) Triangle A is NOT a right triangle
This kicks off 3-4-5 pair.
We r remained with just 1 pair- 1 solution -> Answer C
03 Aug 2020, 19:22
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@Bunuel,@VeritasKarishma - i am confused with the first statement. The sentence says that the sides are consecutive integers, but does it mention that the sides are 3 different integers? I mean, from S1, we can infer that the sides could be 2,3,4 or 3,4,5 or 3,4,4, 3,3,4? That leaves us with 3 possibilities when we combine S1 and S2, so shouldn't the answer be E? Am i missing something obvious?
