This sentence opens with a modifying phrase. It's very useful to notice sentences that open with such phrases because as soon as we recognize this common GMAT pattern, we know that whatever follows the comma must be the thing the modifying phrase is modifying.
Here, the phrase "While studying the genetic makeup of corn" is modifying whoever was doing the studying. That means that the person conducting the study (the thing to which the modifying phrase refers) must follow the comma.
So
Barbara McClintock should follow the comma. A and B are gone.
In C we can assess the pronoun
it. To assess a pronoun we need to make sure that 1) the pronoun refers to the intended 'antecedent' (the thing the pronoun is filling in for), 2) the pronoun agrees in number with its antecedent and 3) there are not other potential antecedents the pronoun might refer to.
Here, the
it in C grammatically refers to 'a new class', the only singular noun-phrase available to us. But the intention of the sentence is to say that
the discovery led to a greater understanding, not that the new class itself let to a greater understanding.
So C, by using a pronoun with an unintended antecedent, changes the meaning of the sentence.
We can get rid of E by noticing that the sentence is incomplete without an active verb attached to the subject. The sentence, with E, never tells us what Barbara McClintock did.