X and Y are non zero integers. If ( X^2)(Y) <0 and (X^3)(Y^2) >0, which of the following must be true?

A. X > 0

B. X < 0

C. Y > 0

D. Y < 0

"Outsmarting the Competition" - The Washington Post, 2001. (Hundreds of students accepted to TJ since 1994)

TJ test prep practice problems for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

X and Y are non zero integers. If ( X^2)(Y) <0 and (X^3)(Y^2) >0, which of the following must be true?

A. X > 0

B. X < 0

C. Y > 0

D. Y < 0