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]: 4, 12, ['2337', 'A', 'j', 'p', 'c', 'k', 'Y', 'Q', 'N', 'L', '8857', '9985', 'N', 'x', 'u']
[A]: 18842


[Q]: 1, 6, ['S', 'i', 'F', 'w', '6345', 'L', '9727', 'u', 'F', '7911', 'K', '3151', '6181', 'N', 'a']
[A]: 6345


[Q]: 7, 9, ['j', 'v', '7567', '8553', '1711', 'V', '2023', '335', 'Y', '4633', '6759', '8033', '1405']
[A]:
2358