1. What does it mean?
노답 combines English 'no' with 답, an answer. It vents frustration about a situation that seems impossible to solve, or dismisses behavior as beyond reason.
Also written or said as nodap
2. The nuance
Applied to a person, it can be demeaning. It is usually emotional exaggeration rather than proof that a problem has no solution; use clearer wording when someone needs practical help.
3. Examples
“이 일정에 이동 시간까지 넣으면 진짜 노답이네.”
This schedule looks impossible once we include travel time.
“한 번 틀렸다고 스스로 노답이라고 할 필요 없어.”
You don't have to call yourself hopeless because you got one thing wrong.
Sources
References support the meaning and usage. Example sentences are written for NoCapWiki.