Saturday, December 25, 2010

CP #22

GMATClub m#02 test:

Is [m]x \gt y^2[/m] ?
  1. [m]x \gt y + 5[/m]
  2. [m]x^2 - y^2 = 0[/m]
(C) 2008 GMAT Club - [t]m02#19[/t]
  • Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
  • Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
  • BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
  • EACH statement ALONE is sufficient
  • Statements (1) and (2) TOGETHER are NOT sufficient
Statement (1) by itself is insufficient. Consider [m](x,y)=(5, -1)[/m] or [m](5, -3)[/m] .
Statement (2) by itself is insufficient. Consider [m](x,y)=(\frac{1}{2}, \frac{1}{2})[/m] or [m](2, 2)[/m] .
Statements (1) and (2) combined are sufficient. The absolute values of [m]x[/m] and [m]y[/m] are equal and [m]x \gt y[/m] , implying that [m]x[/m] is positive and [m]y[/m] is negative. Therefore, [m]x \gt y^2[/m] is false.
The correct answer is C.
Posted by gmat delhi at 8:01 AM
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