Topic: Group verb,

Best Answer Explained in Below-:

The phrase "She did not get through her first year exams" is idiomatic English. The preposition "through" in this context means to successfully complete or pass an examination or a particular stage in an academic or professional journey. In this case, it implies that she was unable to successfully finish or pass her first year exams.

Let's analyze the other options to understand why they are less suitable:

- **A) on**: This preposition does not fit the context, as "getting on" typically relates to progress or moving forward rather than passing or completing an exam.

- **B) about**: This does not fit grammatically or contextually since "getting about an exam" does not convey any meaning related to passing or failing.

- **D) at**: While "at" might imply performance in a broader sense (as in "doing well at exams"), it does not convey the idea of completing or passing them, which is essential in this context.

Thus, "through" is the most appropriate choice as it clearly indicates that she did not succeed in her exams.