Arthurito wrote:
GMATNinja I dont understand this one, most of the students means at least 51%, fine, but we don't know, as E is saying, that more than half received grade B minus or higher.
What if most of the students represented 90%. Then it would mean that 90% of the students attended the class, and 10% didn't. So E would be wrong as it says : "+50% of the students received a grade of B- or higher". Because only the 10% who missed the class would have received a B - or lower. Does that mean that among the 90% who attended the class, no one received B- or lower ? No, but I don't think we can infer E nonetheless
While B says : most, if not all of the students who missed at least one class received a grade lower than B -. This is exactly what we have in the argument :
However, each student who received a grade lower than B minus missed at least one class session.So should be B IMO, what do you guys think ?
This is a nasty, nasty question, but (E) is indeed the correct answer.
What we really have here is a two-way overlapping sets problem -- and it's honestly a bit of a stretch to imagine that a question like this would show up on the GMAT. If you do come across something like this, be wary of whether it's really worth your time to solve it through, or whether that time is better spent on a different question.
That being said, let's go through (B) and (E):
Quote:
(B) Most, if not all, of the students who missed at least one class session received a grade lower than B
Out of all of the students in the class, fewer than half missed at least one class. This is the subset of the class that we care about in evaluating (B).
Out of this subset, the students fall into one of two categories: either they received a grade below a B minus, or they received a grade equal to/higher than a B minus.
Can we really determine which of these two categories this subset of students falls into?
Nope, we can't -- as long as the two categories add up to less than 50% of the total class, the conditions of the prompt are met. Perhaps most of the non-perfect-attendance students got A's and B's, or perhaps most of them got C's and below.
Compare that to (E):
Quote:
(E) More than half of the students received a grade of B minus or higher.
(E) asks us to think about another subset of students: those who got a B minus or higher.
These students can fall into one of two categories: either they attended every class, or they didn't.
Let's consider the ones who attended every class: we KNOW that more than half of the students overall attended every class. In addition, we KNOW that the students with grades below a B minus DIDN'T attend every class.
That means that all of the students who attended every class MUST have gotten a B minus or higher -- in other words, more than half of the class got a B minus or higher.
We can infer (E), and that is the correct answer.
I hope that helps!