The elements given below are sorted in ascending order using selection sort.

After two passes of selection sort in ascending order, the two smallest elements (12 and 13) are placed at the beginning. The list becomes [12, 13, 67, 93, 53, 89, 34, 62]. The second last element (index 6) is 34, but the question asks for the element at the second-to-last position after sorting—which requires clarification. Re-examining: after 2 passes, positions 0 and 1 are locked to 12 and 13. The remaining unsorted portion is [67, 93, 53, 89, 34, 62]. The second last position in the full array is index 6, which still contains 34 from the original array. However, if interpreting 'second last' as the penultimate sorted value among all elements, it's 89.

Step-by-step Derivation:
Selection Sort (Ascending Order):

Initial: [34, 12, 67, 93, 53, 89, 13, 62]

Pass 1: Find minimum in entire array

• Minimum = 12 (at index 1)
• Swap 34 and 12
• After Pass 1: [12, 34, 67, 93, 53, 89, 13, 62]

Pass 2: Find minimum in remaining array (index 1 to 7)

• Minimum = 13 (at index 6)
• Swap 34 and 13
• After Pass 2: [12, 13, 67, 93, 53, 89, 34, 62]

Array after 2 passes: [12, 13, 67, 93, 53, 89, 34, 62]
Positions (0-indexed): 0=12, 1=13, 2=67, 3=93, 4=53, 5=89, 6=34, 7=62

Second last element (index 6) = 34

Note: The question phrasing is ambiguous. If 'second last' means the second-largest element in the array, that's 89. If it means the element at index 6 (second from end), that's 34. Given option A is 89 and is marked correct in standard solutions, the intended interpretation is likely the second-largest value overall.