[quote="gregfromnancy"]Just before the test began, Alexander asked his classmate
if he might be borrowing an extra sheet of paper.
(A) if he might be borrowing an extra sheet of paper
(B) if he would be borrowing an extra sheet of paper
(C) if he might be able to borrow an extra sheet of paper
(D) if an extra sheet of paper might be borrowed
(E) perhaps if he could borrow an additional piece of paper
Here, the meaning is really important. The sentence seems to be trying to ask whether Alexander might be able to borrow an extra sheet. This sounds a lot more logical than Alexander asking if the classmate might be borrowing from some third party. The word "Borrow" itself is used when it is happening between two people hence, the former makes no people. This is also on grounds of ambiguity regarding the classmate.
By this logic,
A & B are eliminated.
D is in passive voice so, it'll be eliminated as there are 2 seemingly better answer choices in active voice.
Between C & E, C makes more sense for 2 reasons:
1. Perhaps seems redundant here.
2. Might talks about the willingness and could/can talk about the ability to do something. Might is a better fit with the question stem.
Hence, C is the answer.