A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question.
B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question.
C. Both statements taken together are sufficient to answer the questions, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
Explanation: From statement 1 alone, \(x>-1\). This does not give any ideas about \(y\). From statement 2 alone, since \(xy>0\), this means that both must together be positive or negative. Taking both statements together: \(xy>0\) And \(x>-1\). So, x is a non-negative integer. \(y>0\). Answer (C)