When we simplify the question stem, we get A = \(\frac{xy }{ 6}\). So, to find out the value of A, we will have to find the value of the product of x and y.
Remember, \(\frac{a}{b}\) /\( \frac{c}{d }\) can be written as \(\frac{ad}{bc}\). This is the basic principle of dividing one fraction by another.
From statement I alone, we have xy = 8. This is sufficient to find the value of A since A = \(\frac{xy}{3}\). Remember that, in DS, you don’t have to find the exact answer all the time.
Statement I alone is sufficient. Answer options B, C and E can be eliminated. Possible answer options are A or D.
From statement II alone, we have \(\frac{x}{y}\) = 2. This means x = 2y and hence xy = 2\(y^2\). Therefore, A = \(\frac{2y^2 }{ 6}\) or A = \(\frac{y^2}{3}\) which is insufficient to find a value of A.
Statement II alone is insufficient. Answer option D can be eliminated.
The correct answer option is A.
Hope that helps!