The correct answer is B. North West Frontier province.
The North West Frontier Province (NWFP) was a province of British India from 1901 to 1947. It was located in the northwest of the Indian subcontinent, bordering Afghanistan to the west and the British Indian provinces of Punjab to the east and Baluchistan to the south. The capital of the NWFP was Peshawar.
The NWFP was a Muslim-majority province, and in 1947, it was one of the provinces that was given the option to join Pakistan or India. A referendum was held in the NWFP in July 1947, and the results showed that a majority of the voters wanted to join Pakistan. The NWFP became a province of Pakistan on 14 August 1947.
The other options are incorrect for the following reasons:
- Option A, Ceded and Conquered Provinces, is not a specific province. It is a term used to refer to the provinces of British India that were ceded or conquered by the British East India Company.
- Option C, Sind, is a province of Pakistan. It was not a province of British India in 1947.
- Option D, Punjab, is a province of Pakistan. It was a province of British India in 1947, but there was no referendum held in Punjab to ascertain whether it should join Pakistan or not.