Final answer:
Two transactions that can be refunded without requiring a Credit Memo are a Cash Sale and an Unapplied Customer Deposit, due to the immediate payment and the funds not being applied against a receivable, respectively.
Step-by-step explanation:
The transactions that can be refunded without first requiring a Credit Memo are B. Cash Sale and D. Unapplied Customer Deposit. When a Cash Sale is made, payment is received immediately, and if a refund is necessary, it can be processed directly as the transaction doesn't involve credit. Similarly, for an Unapplied Customer Deposit, which is when a customer payment is received but not yet applied to any invoice or charge, the funds can be returned directly to the customer without the need for a Credit Memo since the deposit hasn't yet been applied against a receivable.