Each questions is followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether: Is the product of x and y positive? (1) \(x - y = 1/3\) (2) \((x+y)/(x-y) >1\)

Explanation: Statement 1 alone gives an idea about the difference between \(x\) and \(y\), not whether the numbers are positive or negative. From statement 2 alone, \(\frac{x+y}{x-y}>1\). Or, \(x+y>x-y\), or \(y>0\). But this does not prove whether \(x\) is positive or negative. Taking both statements together: \(\frac{x+y}{x-y}>1\). Or, \(x+y>1/3\). Here, \(y\) is positive. This means that \(x\) might be a negative number such that, \(x+y>1/3\). So, both statements together are not sufficient. Correct Answer (E)