As they worked to get the candidate elected,

Hello, kntombat. An upgrade from Bugs Bunny for 2021? I took a little over 40 seconds on this one, and I did choose (A). Why? Because it is the safest bet. There are debates in grammar circles as to whether it is appropriate to use an object pronoun and a gerund. The traditional stance is that a possessive pronoun should be paired with a gerund instead. (And on the GMAT™, I often take a traditional stance.) Compare:

1. [object pronoun] + [gerund] - I appreciate you going the extra mile on that project.

2. [possessive pronoun] + [gerund] - I appreciate your going the extra mile on that project.

When I write such sentences the formal way to clients, I sometimes get an auto-correct recommendation to switch it to the more conversational object pronoun way. (In case you are curious, I leave my original sentence alone, just in case I get a grammarian client who might think less of me if I "missed" a finer grammar point.)

In the sentence at hand, we see two gerunds acting as objects, showing what the campaign workers felt. Thus, we want to keep things consistent and go with either him and him or his and his. Believe it or not, this consideration alone can whittle the answers down to (A) or (B). Again, there is no compelling reason to mix and match pronouns, so the his/him pairing in (D), for instance, warrants caution. The GMAT™ also likes consistency. Finally, we want to use felt + that to avoid an apparently tactile (and disturbing) description: the campaign workers felt him. Choice (A) is the best answer of the lot.

As they worked to get the candidate elected, the campaign workers felt that his self-sabotaging would result in his losing votes.

I hope that helps. Thank you for thinking to ask me.

- Andrew