The correct answer is: A. Oudh commercial Bank.
The Oudh Commercial Bank was the first bank of limited liability managed by Indians and founded in 1881. It was established by a group of Indian businessmen, including Sir Syed Ahmed Khan, in order to provide banking services to the Indian community. The bank was headquartered in Lucknow, and it had branches in several other cities in India. The Oudh Commercial Bank was a successful bank, and it played an important role in the development of the Indian economy.
The other options are incorrect. The Hindustan Commercial Bank was founded in 1875, and the Punjab National Bank was founded in 1894. The Punjab and Sind Bank was founded in 1897.