Sufficient & Necessary Questions - - Question 15
Editorial: It is clear that if this country's universities were living up to both their moral and their intellectual...
Reply
Naz June 30, 2014
The principle rule in the stimulus is: "If this country's universities were living up to both their moral and their intellectual responsibilities, the best-selling publications in most university bookstores would not be frivolous ones like TV Today and Gossip Review."PR: MR & IR ==> not F
F ==> not MR or not IR
The next sentence is: "However, in most university bookstores the only publication that sells better than Gossip Review is TV Today."
It's true that you could write this out as a MOST statement like so: UB-most-F.
It's helpful to recognize that the sufficient condition of the contrapositive of the first sentence: "the best-selling publications in most university bookstores would are be frivolous ones like TV Today and Gossip Review," is basically the same thing as the last sentence: "in most university bookstores the only publication that sells better than Gossip Review is TV Today." The last sentence is stating that the best-selling publications in most university bookstores are frivolous ones, i.e. the sufficient condition of the contrapositive of the first sentence.
So, instead of writing out the last sentence as a quantity statement, we can just use this information to invoke the contrapositive of the first sentence. Since we know we have "F," the contrapositive of the principle rule is invoked to prove that we must then also have "not MR or not IR," which answer choice (E) illustrates: "At least some of this country's universities are not meeting their moral responsibilities or their intellectual responsibilities or both."
The point of the question is to invoke the contrapositive. This is why we solved it as a Sufficient & Necessary statement. However, it can also be solved as a Quantifier question. We would write it like so:
PR: MR & IR ==> not F
F ==> not MR or not IR
QS: UB-most-F (i.e. TVT>GR, as mentioned above, constitutes being frivolous)
F-some-UB
We can combine them like so: UB-most-F ==> not MR or not IR to conclude: UB-most-not MR or not IR.
We read this as: Most university bookstores are not living up to their moral or their intellectual responsibilities.
This still leads us to answer choice (E) because "at least some" is encompassed in "most."
Hope that was helpful! Please let us know if you have any other questions.