1978 AHSME Problems/Problem 22

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There can be at most one true statement on the card, eliminating $\textbf{(A)}, \textbf{(B)},$ and $$ (Error compiling LaTeX. ! Missing $ inserted.)\textbf{(C)}$. If there are$0$true on the card, statement$4$("On this card exactly four statements are false") will be correct, causing a contradiction. Therefore, the answer is$\qquad \textbf{(D)}\ 3$, since$3$ are false and only the third statement ("On this card exactly three statements are false") is correct.

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