In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
5, 8, ['2403', '1001', 'x', '8215', 'J', '701', '9825', '5137', '3881', '4083', '9147', '101']