A few days after the interview, I received a letterme admission to the university.A. offer

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(答案→)A. offering
B. offered
C. having offered
D. to be offered
解析：考查非谓语动词。a letter与offer是主谓关系，即“信提供给我入学许可”，排除B；当两个动作有先后关系是，用having done，这里的receive和offer是同时发生的，排除C；不定式表将来，排除D，故选A。