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655-705 (Hard)|   Geometry|      
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amanvermagmat
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A rectangle PQRS contains a circle C, with center O such that C is the 22 Jul 2018, 10:58
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

46% (01:57) correct 54% (01:17) wrong based on 43 sessions

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A rectangle PQRS contains a circle C, with center O such that C is the largest possible circle which can be inscribed inside PQRS without crossing the sides of this rectangle. Is PQRS a square?

(1) OP = OR

(2) OP = OQ
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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
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A rectangle PQRS contains a circle C, with center O such that C is the 22 Jul 2018, 18:57
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amanvermagmat
A rectangle PQRS contains a circle C, with center O such that C is the largest possible circle which can be inscribed inside PQRS without crossing the sides of this rectangle. Is PQRS a square?

(1) OP = OR

(2) OP = OQ
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Both statements tell us that the centre of circle is equidistant from four vertices..

But the same can be both the rectangle or square. See attached figire
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PicsArt_07-23-07.26.38.jpg
PicsArt_07-23-07.26.38.jpg [ 53.23 KiB | Viewed 1220 times ]

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