Several educational research groups are denouncing the mayor's proposal of a system by which individual teachers would be given raises or bonuses should it be that test scores show their students' mastery of reading skills having improved over a nine-month period.
(A) should it be that test scores show their students' mastery of reading skills having
(B) should it be that test scores show their students' mastery of reading skills have
(C) should test scores showing their students' mastery of reading skills has
(D) if test scores showing their students' mastery of reading skills having
(E) if test scores show that their students' mastery of reading skills has
A, B, C and D have some serious problem and so only E can be the possible answer.
As far as I know, "would" in the main clause of an if statement should be paired with "were/were to/verb in past tense/should" to express something that contradicts to the fact or something impossible to happen in the future..
I don't understand why the sentence uses "would be given" instead of "will be given".