MAGOOSH Official Explanation:
Two possible pitfalls
Pitfall #1
This is a tricky question. Be careful not to get a case of “eliminitis” and unthinkingly get rid of (A) and (D). Sure, it’s tempting given that we automatically think that Ada Lovelace should immediately follow the comma. However, it is fine to have an adjective immediately following the comma as long as that adjective is modifying Ada Lovelace.
Pitfall #2
If you read the entire sentence, you’ll notice the two participles “leading” and “resulting”. Almost, reflexively our brain screams parallelism and we eliminate every answer choice that doesn’t have “ushering”. However, “leading” and “resulting” are not the second and third members of a list of three participles. Rather, we have a phrase with the past tense of ushered that is modified by the two participles “leading” and “resulting”. In other words, these two participles describe a noun in the preceding clause.
The original answer has “breakthrough” as this noun. The other answer choices change it so suddenly either Ada Lovelace is leading to every subsequent development in computers (weird) or the algorithm itself is leading to machines capable of executing functions (not as weird). For this reason, (B), (C), (D), and (E) can all be eliminated.
(A) provides the correct noun “breakthrough”, which serves as a summative modifier describing the work of Ada Lovelace. Only (A) does this.
Answer: (A)
POE:Split #1: idiom
This is a subtle idiom in English: [role #1] “turned” [role #2].
Clint Eastwood is an actor turned politician.
Michael Strahan is an athlete turned TV host.
This is a concise elegant way to sum up a person’s past and present role all at once. In this sentence, it is perfectly correct to describe Lovelace as a “mathematician turned computer scientist”; choices (A) & (D) use this elegant correct structure.
To call Lovelace simply “mathematician and computer scientist,” as in choice (B), is also brief and correct; we lose a little information in this formulation, but on its own, it’s perfectly correct.
The phrasing “the mathematician who turned into a computer scientist” is awkward, wordy, and clumsy by comparison. While not black/white wrong, this poorly phrasing certainly makes us suspicious about choices (C) & (E).
Split #2: the “breakthrough”
Choice (A): here, we have an independent clause, and then in an appositive, a noun that summarizes the action of the clause. This is correct.
Choice (B): we have a clause, then “and the breakthrough …” Wait! Exactly what was the breakthrough? We have an idea, but the grammar does not make this identity clear. Grammar that leaves us guessing is not good grammar. This choice is incorrect.
Choice (C): here we have an independent clause, then a comma, then another independent clause, with no conjunction separating the two clauses. This mistake is called a comma splice. This choice is incorrect.
Choice (D): here, the wording “developing as a breakthrough the first computer algorithm” is odd—as if she could have just developed the first computer algorithm in an ordinary way, but instead, decided to develop it “as a breakthrough.” The exact meaning is unclear. Furthemore, the “breakthrough” is mentioned in the first clause, and a semicolon correctly separates the clauses, but the pronoun “this” is ambiguous in its antecedent. This choice is incorrect.
Choice (E): the wording “had the breakthrough development of the first computer algorithm” is awkward; also, it’s unclear which part the infinite “to aid Charles Babbage” modifies. Awkward + unclear = wrong. This choice is incorrect.
The only possible choice is (A).