Jack, the question was how to put an elephant into "a refrigerator", not "the refrigerator". I would argue that "a refrigerator" represents the set of all refrigerators, not just the subset of refrigerators with giraffes in them. Had the questions instead referred to "the refrigerator", that would make it possible that the second question, "How do you put an elephant into THE refrigerator", could be inferred to mean "the refrigerator from question 1". However, the lack of specificity in the question makes the inference unnecessary and therefore the question has multiple answers.
Clearly the questions are phrased in a general way while expecting specific answers, which is misleading. The question is vague, the inference is fallacious, and the question is specious. It is best to avoid answering such illogical questions.