Solution:National Institute of Ayurveda, established in 1976 at Jaipur by the Ministry of Health and Family Welfare, Government of India. It is the lone institute of Ayurveda under the AYUSH.
National Institute of Homoeopathy is an autonomous organisation under Ministry of AYUSH, Government of India. It was established on 10th December, 1975 in Kolkata.
National Institute of Unani Medicine is an autonomous organisation for research and training in Unani medicine in India. It was established in 1984 at Bengaluru. Under Ministry of AYUSH.
National Institute of Siddha is a institute for study and research of Siddha medicine. It was established in 2005 at Chennai.
Hence, option (c) is the correct match.