gmatyodha
Hi
Let:
X: Chandelier not selling well in the Eastern European market.
Y: Chandelier is a complete failure
Option (A) states that X --> Y (if X is true then Y is true).
The argument presented in the question stimulus states that X is false and hence Y is false, which is not necessary based on the assumption of option (A). For instance, if I state the following:
If I go out in the rain without cover (=X) then my hair will get wet (=Y).
Now, if X is known to be false (ie; I have not gone out in the rain without cover) then it is not necessary for Y to be false as well (ie; my hair is dry). When X --> Y, then Complement (X) being true does not necessarily imply Complement (Y) to be true. However, Complement (Y) being true (ie; my hair being dry) will necessarily imply Complement (X) being true (ie; I have not gone out in the rain without cover).
Another way to test whether an option presents a valid assumption or not is to negate the assumption and check the impact on the original conclusion - negation of a valid assumption should necessarily negate (or at least weaken) the original conclusion.
Here, negation of option (A) will read:
If a chandelier does not sell well in the Eastern European market, then it cannot be considered a complete failure. (Please note, the negation of "being a complete failure" is "not being a complete failure" and not "being a success").
The above statement has no impact on the conclusion drawn in the question stimulus since this presents an alternate way to "not be a complete failure" which is not mutually exclusive to the reason presented in the question stimulus. Hence (A) cannot be an underlying assumption for the argument presented.
Hope this clarifies.