Final answer:
Real-time credit card transactions require online transaction processing (OLTP) and cannot function on a batch processing approach due to the necessity of immediate processing for verification and authorization at the point of sale.
Step-by-step explanation:
The transactions that definitely require online transaction processing (OLTP) and cannot work on a batch processing approach are real-time credit card transactions. OLTP is necessary for any operation where immediate updating is critical. Real-time credit card transaction processing is a quintessential example of OLTP, where each transaction needs to be processed instantaneously to verify the user's credit information and confirm the transaction at the point of sale.
Alternatively, monthly payroll processing, quarterly tax reporting, and year-end financial statements are suited to batch processing, where transactions can be accumulated and processed together at a specific time without the need for immediate action.