The correct answer is: A. Sardar Abdul Hakim Khan Durrani.
Sardar Abdul Hakim Khan Durrani was the first Chairman of Jammu and Kashmir Public Service Commission. He was appointed on 15 August 1948 and served until 1953. He was a highly respected figure in the state and was known for his integrity and fairness.
A. J. Kidwai was a freedom fighter and politician who served as the Chief Minister of Jammu and Kashmir from 1948 to 1953. He was not the first Chairman of the Jammu and Kashmir Public Service Commission.
Nazir Ahmad Khan was a civil servant who served as the Chief Secretary of Jammu and Kashmir from 1953 to 1958. He was not the first Chairman of the Jammu and Kashmir Public Service Commission.
Major General Yadav Singh was a military officer who served as the Governor of Jammu and Kashmir from 1972 to 1977. He was not the first Chairman of the Jammu and Kashmir Public Service Commission.