Question
In an institute, the average score on an IBACIO Scholarship test for 52 aspirants is 51. Excluding the scores of the top 5 performers, the average score of the remaining aspirants drops by 3. None of the first five highest scores is below 60, and each of the top 5 scorers has distinct integral scores. Determine the maximum possible score of the top performer, considering the maximum score is 200.
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