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90 < x < 180 and the perimeter of AOB
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Updated on: 20 Feb 2020, 14:02
Updated on: 20 Feb 2020, 14:02
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48% (01:18) correct
51% (01:34) wrong based on 109 sessions
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\(90 < x < 180\)
Quantity A |
Quantity B |
The perimeter of \(\triangle AOB\) |
\(17\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Originally posted by HarveyKlaus on 01 Jan 2017, 05:49.
Last edited by Carcass on 20 Feb 2020, 14:02, edited 2 times in total.
Last edited by Carcass on 20 Feb 2020, 14:02, edited 2 times in total.
Updated
Re: 90 < x < 180
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01 Jan 2017, 08:16
01 Jan 2017, 08:16
9
Expert Reply
Its not exactly a well worded question but Barron assumes that you assumes the O is the centere and OA and OB are radii.
Not the best thing to tell GRE students as GRE sometime traps students by wording the questions differently from the images.
While we are at it: Solution to the problem.
We have an isosceles triangle OAB. Now when the center angle X is cloase to 180 degrees. The perimeter of the triangle is almost 20.
As \(OA =5\) and \(OB = 5\) and \(AB = \approx 10\)
Now when the center angle X is close to 90 degrees. The perimeter of the triangle is almost 17.07.
As \(OA =5\) and \(OB = 5\) and \(AB = \approx 5\sqrt{2}\) As triangle OAB is right isosceles triangle.
Thus we can say: as \(90<x<180\) or \(7.07 < AB < 10\) so \(17.07 < Perimeter < 20\)
Hence A is the correct option.
Not the best thing to tell GRE students as GRE sometime traps students by wording the questions differently from the images.
While we are at it: Solution to the problem.
We have an isosceles triangle OAB. Now when the center angle X is cloase to 180 degrees. The perimeter of the triangle is almost 20.
As \(OA =5\) and \(OB = 5\) and \(AB = \approx 10\)
Now when the center angle X is close to 90 degrees. The perimeter of the triangle is almost 17.07.
As \(OA =5\) and \(OB = 5\) and \(AB = \approx 5\sqrt{2}\) As triangle OAB is right isosceles triangle.
Thus we can say: as \(90<x<180\) or \(7.07 < AB < 10\) so \(17.07 < Perimeter < 20\)
Hence A is the correct option.
General Discussion
Re: 90 < x < 180
[#permalink]
01 Jan 2017, 10:11
01 Jan 2017, 10:11
1
Thanks for clarifying!
So shall we always assume this kind of basic stuff in this type or question? Or in the real test, GRE will specifically mention?
PS: In GMAT, this would be a grave mistake! ;D
Thanks!
So shall we always assume this kind of basic stuff in this type or question? Or in the real test, GRE will specifically mention?
PS: In GMAT, this would be a grave mistake! ;D
Thanks!
