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In the figure above, \(ABCD\) is a rectangle, and each of \(AP\) and \(CQ\) is perpendicular to \(BD.\) If

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In the figure above, \(ABCD\) is a rectangle, and each of \(AP\) and \(CQ\) is perpendicular to \(BD.\) If

by Gmat_mission » Sun Jun 21, 2020 3:29 pm

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In the figure above, \(ABCD\) is a rectangle, and each of \(AP\) and \(CQ\) is perpendicular to \(BD.\) If \(DP = PQ = QB,\) what is the ratio of \(AB\) to \(AD?\)

(A) \(\sqrt2\) to 1

(B) \(\sqrt3\) to 1

(C) \(\sqrt3\) to \(\sqrt2\)

(D) 2 to 1

(E) 2 to \(\sqrt3\)


[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT
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