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# 90 < x < 180

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90 < x < 180 [#permalink]  01 Jan 2017, 05:49
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Question Stats:

100% (01:05) correct 0% (00:00) wrong based on 3 sessions
I found this question in Barrons practise test BUT I think that this question is flawed because WE ARE NOT TOLD ANYWHERE that O is the centre of the circle, neither any information regarding if we can assume/consider OA and OB the respective radii. Hence I think the answer should be D.

Any comments? Am I missing something?

Thanks
[Reveal] Spoiler: OA

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GRE Prep Club Legend
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Re: 90 < x < 180 [#permalink]  01 Jan 2017, 08:16
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Expert's post
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.
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Intern
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Re: 90 < x < 180 [#permalink]  01 Jan 2017, 10:11
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!
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Re: 90 < x < 180 [#permalink]  01 Jan 2017, 13:31
Expert's post
HarveyKlaus wrote:
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!

I don't think that actual GRE would have questions which require you to make such assumptions.

Generally speaking
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Re: 90 < x < 180 [#permalink]  01 Jan 2017, 14:45
Expert's post
I agree with Sandy; the GRE test-makers would never make you assume that a point is the center of a circle.

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: 90 < x < 180   [#permalink] 01 Jan 2017, 14:45
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