National Rural Health Mission was launched in which year by the Central Government of India?

The correct option is 2005.

Detailed Explanation:
The National Rural Health Mission (NRHM) was launched by the Prime Minister of India on 12th April 2005.
It was introduced to provide accessible, affordable, and quality healthcare to the rural population, especially the vulnerable sections of society. The mission primarily focused on 18 states with weak public health indicators and weak infrastructure. It was later subsumed under the National Health Mission (NHM) as a sub-mission alongside the National Urban Health Mission (NUHM).