Concept: The question tests on the application of Algebra in a DS format
Solution:
Simplifying the following expression, we have
xy(x−y)/(1/x−1/y)
=xy(x−y) / (y−x/xy)
=−(x2y2)
=−(xy)^2
So all we need is the value of x and y or the value of xy to answer the question
Statement 1: xy = 6. This is sufficient to answer the question as shown above. Answer Options could be A or D (Sufficient)
Statement 2: x - y = 1. This statement is insufficient as we can only derive the fact that x = y + 1, and we can get multiple answers for the same. (Insufficient)
Option A