The sentence that uses the word them as an indirect object would be Leo sent them a postcard from NASA.
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Piece of cake. First person. You can tell by the way the narrator says "I".
The answer is D: The search for self.
Although this is not an exclusively literary modernist theme, it sure was one of the main themes that Virginia Woolf, one of the most notable modernist writers, developed. Throughout this novel, and specifically in the excerpt cited, Mrs. Dalloway, as well as many other female and male characters, continually expose their train of thoughts (“stream of consciousness” as it usually is called in literary studies) as the struggle to identify their personal subjectivity, showing a constant struggle and an intermittent quest for one´s own self.