Is the answer to the question "Is the answer to the outer question 'Yes'?" 'No'?
Both the inner and outer questions are Yes/No questions.
Is the answer to the question "Is the answer to the outer question 'Yes'?" 'No'?
Both the inner and outer questions are Yes/No questions.
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$\newcommand{\getsto}{\gets\hspace{-2ex}\to}$ Let $X$ be the answer to the outer question. Let $Y$ be the answer to the inner question.
The answer to the inner question confirms the answer to the outer question. $Y\getsto X$
The answer to the outer question contradicts the answer to the inner question. $X\getsto\neg Y$
That infers that $X\getsto \neg X$. So, clearly, the outer question is inconsistent.