The term "sine qua non" refers to something that is essential or indispensable; it is a condition or element that is absolutely necessary for something to occur or be true.
In this context, the two correct answers that reflect situations where a sine qua non condition is present are:
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An actor is told that he will not be considered for a role in a play unless he hires an agent to represent him. - Here, hiring an agent is the necessary condition for being considered for the role.
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A job listing requires candidates to have a college degree and a minimum of three years of experience. - In this case, both the college degree and the experience are essential requirements for candidates to be eligible for the job.
These situations involve prerequisites that must be met for the outcome (getting considered for a role or being eligible for a job) to happen.