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.
3, 11, ['k', '403', 'P', 'N', 'Z', 'X', '2535', 't', 'r', 'x', 'X', '6213', 'P', '8145', '3027']