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# Quadrilateral ABCD is a rectangle.

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Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 [0], given: 220

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Question Stats:

66% (01:15) correct 33% (00:58) wrong based on 9 sessions

[Reveal] Spoiler:
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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

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[Reveal] Spoiler: OA
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Joined: 03 Sep 2017
Posts: 521
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Kudos [?]: 344 [1] , given: 66

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Remember that figures in GRE are not drawn to scale, so that, in this case, our rectangle can be shrunk or widened as we want.

Having said that, if our triangle were a square, then quantity A would have been $$\frac{\sqrt2 x}{x} = \sqrt2$$ and quantity B $$\frac{x}{x} = 1$$, so that A>B.

However, it can be the case that AB = 3, AD = 1 so that AC = $$\sqrt{10}$$. In this case A = $$\frac{\sqrt{10}}{3} \sim 1$$ while B = 3 so that A<B.

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