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]: 1, 4, ['261', '6237', '3809', '1857']
[EX A]: 12164

[EX Q]: 11, 16, ['8617', '6133', '5505', '6601', 'y', 'a', '1019', 'r', 'P', 'd', 'P', '9647', '9831', 'I', 'z', 'k', '749', '8975']
[EX A]: 19478

[EX Q]: 2, 3, ['6239', 'd', 'X', '7925', '6805']
[EX A]:
0