Ann will either take a leave of absence from Technocomp and return in a year or else she will quit her job there; but she would not do either one unless she were offered a one-year teaching fellowship at a prestigious university.
Conclusion
If Technocomp (T) doesn't find out that Ann has been offered the fellowship, then Ann will not quit her job.
Evidence
If T doesn't find out that Ann has been offered the fellowship, then it will allow her to take a leave of absence.
If T does find out, they won't allow her.
If A is offered a fellowship, she will either take a leave of absence from T for one year or quit her job.
If A is not offered a fellowship, then she will neither take a leave of absence nor quit her job.
Evaluate
We're trying to prove this conditional conclusion (written each of its two ways):
T doesn't find out → Ann will not quit about fellowship
Ann quits → T found out about fellowship
Would we rather try to work with the first or second formulation? We would base that on whether we recognize any of those triggers or outcomes from the premises.
We have a trigger that matches the first formulation:
T doesn't find out → T will allow leave about fellowship of absence
Were we told about anything that happens when T allows leave of absence? Does that idea take us somewhere else?
No. So we could predict a missing link assumption from this.
The Logic Path of the Conclusion: T doesn't ----------------------------> Ann won't find out quit
The part of the path the Evidence provides: T doesn't -----> offers leave find out of absence
The missing part that our answer should provide: offers leave ------> Ann won't of absence quit
The more conversational way to prep ourselves for the answers is to try to figure out where the wiggle room is with the conclusion. They're saying that she'll only quit if Technocomp finds out about the fellowship, so we'd have to figure out a way to argue that "Technocomp doesn't find out, but she still quits".
If they don't find out, they'll offer her the leave of absence. But who said she has to take the leave of absence just because it's offered? She could still decide to just quit, thinking to herself,
Goal
Look for something saying,
Or look for an answer that rules out the possibility that Technocomp offers the leave of absence, but Ann quits anyway.