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]: 3, 16, ['1165', 't', '4833', 'b', '6361', '1175', '3943', 'd', 'l', '7519', 'j', 'X', 'E', 'A', 'm', '6469', '9429', '2415', '5187', 'k', 'd', '9607', '1375', '8913', 'c', 'A', '9229']
[A]: 30300


[Q]: 5, 12, ['2653', 'A', '4739', '149', 'J', '817', 'n', '9589', '965', '1545', 'r', '9061', '7973', '5769', 'Y', '5889', 'A', 'P', '5789', '9757']
[A]: 21977


[Q]: 2, 2, ['L', '4725', '1427', '6879']
[A]:
4725