Which of the following pairs relating to the revolt of 1857 in rural…

The correct answer is Option (3) → Oude - the spelling of Awadh used in a British officer's account

Option (1) Punjab - a region where the British had to reconquer the villages one by one — Incorrect. The Punjab was largely peaceful in 1857. Village-by-village reconquest happened in the Gangetic plain.

Option (2) Bengal Presidency - the area put under martial law by the Acts of May and June 1857 — Incorrect. The Acts of May and June 1857 put the whole of North India under martial law.

Option (3) Oude - the spelling of Awadh used in a British officer's account — Correct. A British officer reporting from rural Awadh wrote the name as Oude. His account describes the Awadh villagers who kept attacking British lines.

Option (4) Acts of May and June 1857 - laws that kept the ordinary processes of law and trial in force — Incorrect. These Acts did the reverse. They suspended the ordinary processes of law and trial, so officers and even ordinary Britons could try and punish suspects.