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Good question where you simply need to avoid super calculations and be simple as the GMAT demands.
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Official Solution:


Is the length of the diagonal of the rectangle greater than \(\sqrt{6}\) centimeters ?

(1) The shorter side of the rectangle measures 2 centimeters.

Since the length of the shorter side of the rectangle is 2 centimeters, the length of the diagonal must be greater than \(\sqrt{2^2 + 2^2} = \sqrt{8}\) centimeters. Therefore, the length of the diagonal of the rectangle is indeed greater than \(\sqrt{6}\) centimeters. Sufficient.

(2) The longer side of the rectangle measures 3 centimeters.

With the longer side of the rectangle measuring 3 centimeters, the length of the diagonal must be greater than \(\sqrt{0^2 + 3^2} = \sqrt{9}\) centimeters. Therefore, the length of the diagonal of the rectangle is also greater than \(\sqrt{6}\) centimeters. Sufficient.


Answer: D
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