Problem

1967 AHSME Problem 28

Given the two hypotheses: \text{I} Some Mems are not Ens and \text{II} No Ens are Veens. If "some" means "at least one," we can conclude that:

\begin{array}{l} \textbf{(A)}\ \text{Some Mems are not Veens}\qquad \textbf{(B)}\ \text{Some Vees are not Mems}\\ \textbf{(C)}\ \text{No Mem is a Vee}\qquad \textbf{(D)}\ \text{Some Mems are Vees}\\ \textbf{(E)}\ \text{Neither} \; \textbf{(A)} \; \text{nor} \; \textbf{(B)} \; \text{nor} \; \textbf{(C)} \; \text{nor} \; \textbf{(D)} \; \text{is deducible from the given statements} \end{array}


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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