Which of the following states launched a new program called “Ama Gaon, Ama…

Concept: A state government almost always names its own schemes in the official language of that state, so the language a scheme title is written in is a reliable pointer to the state that launched it. Translating the title word by word therefore identifies the state on its own, without having to recall the launch event.

Application: In the title "Ama Gaon, Ama Vikas", the word "ama" means "our" in Odia, and "gaon" is village — so the phrase reads "Our Village, Our Development" in Odia. That places the scheme in Odisha, and the record bears this out: the Government of Odisha launched Ama Gaon, Ama Vikas in 2018 as a rural development programme in which each village's own needs are identified locally, existing departmental schemes are converged on those needs, and gram-level representatives and residents take part in prioritising the works taken up.

Cross-check: Applying the same language test to every state offered separates them cleanly, because each renders "our" differently:

Result: Only Odia yields "ama", so the 2018 programme Ama Gaon, Ama Vikas is Odisha's. Assam is the near miss worth noting — Assamese "amar" is close to Odia "ama", which is exactly why it is an attractive distractor, but the two are not the same word.