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Is quadrilateral Q a square?

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Source: — Data Sufficiency |

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by Anurag@Gurome » Sun Mar 18, 2012 4:57 am
pappueshwar wrote:Is quadrilateral Q a square?

(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length.

[spoiler]I feel the ans is D
[/spoiler]
(1) The sides of Q have the same length implies Q can be either square or rhombus.
No definite answer; NOT sufficient.

(2) The diagonals of Q have the same length implies Q can either be a square or rectangle.
No definite answer; NOT sufficient.

Combining (1) and (2), we know that sides of Q are the same and its diagonals are of same length, which implies Q is a square; SUFFICIENT.

The correct answer is C.
Anurag Mairal, Ph.D., MBA
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Gurome, Inc.
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