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.

[EX Q]: 2, 10, ['2797', 'm', '439', '5677', '6719', '1587', 'I', 'I', 'w', '8483', '7341', '341', 'H', 'K', '7727', '4467', 'L']
[EX A]: 22905

[EX Q]: 1, 6, ['H', '7937', '9919', 'G', 's', '1929', '8585', 'n', 'u', 'J', 'C', '387']
[EX A]: 19785

[EX Q]: 6, 18, ['P', 'T', 'F', 'K', 'f', '9169', '6343', '9071', '109', 'e', 'c', '9207', 'y', '3279', 'D', '1619', '3301', 'y']
[EX A]:
42098