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, 12, ['2873', '259', 'b', '2009', 'T', '6161', '8637', 'V', 'Z', 'Z', 'q', '6935', '5311']
[EX A]: 24001

[EX Q]: 5, 9, ['r', 'P', 'r', 'g', '5077', 'T', '2819', 'f', 'p', '6449', '8509', '8915', 'I', 'Z', 'N', '8657', 'R', '3739']
[EX A]: 7896

[EX Q]: 3, 4, ['l', 'B', '6259', '4339', '6483']
[EX A]:
10598