Final answer:
MoneyGram transfers do not require bank account numbers and use a reference number and ID for transactions, while SWIFT and Telex transfers typically require bank account details.
Step-by-step explanation:
The type of wire transfer that can be received or sent without a deposit account number is C. MoneyGram. Unlike SWIFT transfers, which require the sharing of bank account information between financial institutions, and Telex transfers, which are a type of older wire transfer that also typically require bank account details, MoneyGram allows individuals to send and receive funds without needing to provide or use a bank account number. Instead, transactions are conducted using a reference number and a valid form of identification.