If ab > cd and a, b, c and d are all greater than zero

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by GMATGuruNY » Tue Jun 18, 2013 11:47 pm
guerrero wrote:If ab > cd and a, b, c and d are all greater than zero, which of the following CANNOT be true?

A. c > b
B. d > a
C. b/c < d/a
D. a/c > d/b
E. (cd)^2 < (ab)^2

OA C
Since all of the values are positive, we can cross-multiply answer choices C and D:
C: ab < cd
D: ab > cd
Since C contradicts the constraint in the question stem that ab > cd, C cannot be true.

The correct answer is C.
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