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.

Q: 5, 6, ['2277', 'k', 'S', '6367', 'q', '5455']

A: 5455
****
Q: 1, 3, ['7641', '5147', '995', 's', '6697']

A: 13783
****
Q: 4, 10, ['7117', 'r', '2777', '313', '2343', 'j', '8909', '6659', '5717', '3847', '3131', '8441', '5245', 't', '7937', '9561', '8799', '4101', 'B', 'H', '689', '8937', 'R', 'l']

A:
27788
****