Camille Claudet worked continuously through the 1880’s and early 1890’s with the sculptor Auguste Rodin; since there are very few signed works of hers, the
inescapable conclusion seems to be one of Claudet conceiving and executing part of Rodin’s enormous production of that period.
Option Elimination - The question is simple, but let's also understand the basics that may help solve such problems.
(A) inescapable conclusion seems to be one of Claudet conceiving and executing part of Rodin’s enormous production of that period - "one of Claudet." Are there many Claudets, and are we talking about one? Wrong.
(B) conclusion of Claudet conceiving and executing part of Rodin’s enormous production of that period seems inescapable - "conclusion of Claudet"?
"Conclusion of" is used to communicate the result of something. E.g., The report provided a summary of the research and led to the conclusion of the project. Is Claudet a "something," and do we need to communicate the result of "Claudet"? Wrong.
"Conclusion that" This phrase is typically used when introducing a specific statement or idea that serves as the conclusion. For example, "The experiment concluded that the hypothesis was incorrect."
(C) conclusion seems inescapable that part of Rodin’s enormous production of that period was conceived and executed by Claudet - "that" here acts as a connector for the noun "part" and the verb "was conceived," so it introduces a noun clause which acts as an object of the verb. If we want to go in more depth - this noun clause, "that part of Rodin’s enormous production of that period was conceived and executed by Claudet," acts as a subject complement with the linking verb "seems" and provides more information about what the "conclusion" is.
A bit of refresher on linking verbs (To be verbs - is, am, are, was, were be, being, been. Sensation verbs - feel, look, appear, seem, sound, taste. Becoming verbs - become, grow, turn, remain. Other common linking verbs - appear, remain, prove, smell.). There is no need to cram. Just keep the concept in mind.
(D) conclusion of part of Rodin’s enormous production of that period having been conceived and executed by Claudet seems inescapable -
A quick refresher on basics -
"having been" - the present perfect participle, is a wired here. Usually, the structure is "Having finished his work, John went for a walk" - the action of finishing work happened before John went for a walk. Present perfect participle is used to indicate an action that occurred before another past action (different from past perfect - in past perfect, the action has been completed in the past before another past action, but in present perfect participle, the effect of that action (that occurred before another past action) is present). After "Having been conceived and executed," there is no other action here.
(E) seemingly inescapable conclusion is that Claudet would have conceived and executed part of Rodin’s enormous production of that period -
Refresher on the basics -
"would have conceived" construction is used to express a hypothetical action in the past. Action or situation that never really happened in the past. We think about the past and think about the outcome. E.g., If he had attended the concert, he would have found the performance outstanding. This never really happened in the past. Now, if he goes in the past and supposedly attended the concert, "he would have found the performance outstanding."
There is no hypothetical here.