You are correct that both Front Controller or Intercepting Filter could be used here. Without the question being more specific about needs, it's difficult to choose one over the other.
However, assuming the question requires only one answer...
If you read my notes, it points out that "centralized" would be a big clue toward Front Controller.
You might also notice in my notes that centralized control is also a consequence of Intercepting Filter, but I do not have it underlined there as a big clue because, exam-wise, it's more likely to be describing Front Controller.
The real exam would either require two answers to this question, only list one of FC or IF as answer options, or give you more design goal clues to help you out.