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]: 1, 9, ['6869', '4103', 'S', 'k', '6745', 'n', 'x', '7657', 'F', 'd', '1953']
[A]: 25374


[Q]: 2, 5, ['8407', '1329', '2243', '2547', '5371', '6023', '7139', 'K', '339', '3301', '6771', 'Z', '9983', '17', 'V']
[A]: 11490


[Q]: 1, 5, ['I', '6153', '5531', '6505', 'Z', '1021', '1127', 'Q', '861', '2103', '8783', 'a', '7515', '5465', 'U']
[A]:
18189