Question data : xy≠0, given so that the term in the denominator is NOT zero. Typical of a GMAT type of question.
This is a value kind of DS question where we have to find the value of the given expression.
From statement I alone, \(\frac{x }{ (x+y)}\) = 2.
Cross multiplying and simplifying, we have, x = -2y. This value can now be plugged into the expression to find out its value.
\(\frac{(2x + y) }{ (x – 2y)}\) = \(\frac{(-4y + y) }{ (-2y – 2y)}\) = ¾.
Statement I alone is sufficient to find the value of the expression. Answer options B, C and E can be eliminated. Possible answer options are A or D.
From statement II alone, x – 2y = 4. We cannot compute either the values of the variables x and y OR the value of the expression.
Statement II alone is insufficient. Answer option D can be eliminated.
The correct answer option is A.
Hope that helps!
Aravind B T