Answer: (a) 1 only
Explanation:
The Quality Council of India (QCI) was indeed established as a public-private partnership in 1997, jointly set up by the Government of India and the Indian Industry (represented by the Confederation of Indian Industry (CII), Associated Chambers of Commerce and Industry of India (ASSOCHAM), and Federation of Indian Chambers of Commerce and Industry (FICCI)). This makes Statement 1 correct.
However, Statement 2 is incorrect. The Chairman of QCI is not appointed by the Prime Minister on the recommendations of the industry to the Government. The appointment process involves the QCI Governing Body, which includes representatives from the Government and industry, but it does not follow the specific mechanism described in Statement 2.
Solution:
Since only Statement 1 is correct, the right answer is (a) 1 only.