This is the 13144th most frequent Korean word.
된건지
"된건지" means "whether it is done" or "whether it is completed."
'된건지' is used here to mean 'if it turned out well', indicating a condition or result of an action.
이 프로젝트가 진짜로 잘된건지 궁금하다.
I wonder if this project really turned out well.
Although '된건지' isn't directly in this sentence, the structure '뭔지' also inquires about a condition or state.
그가 그렇게까지 화가 난 이유가 뭔지 궁금하다.
I wonder what made him so angry to that extent.
'된건지' in this context means 'if it became', reflecting contemplation about the result of a previous decision.