1959 AHSME Problems/Problem 47

Problem

Assume that the following three statements are true: (I). All freshmen are human. (II). All students are human. (III). Some students think.

Given the following four statements:

$\textbf{(1)}\ \text{All freshmen are students.}\qquad \\ \textbf{(2)}\ \text{Some humans think.}\qquad \\ \textbf{(3)}\ \text{No freshmen think.}\qquad \\ \textbf{(4)}\ \text{Some humans who think are not students.}$

Those which are logical consequences of I, II, and III are:

$\textbf{(A)}\ 2\qquad\textbf{(B)}\ 4\qquad\textbf{(C)}\ 2,3\qquad\textbf{(D)}\ 2,4\qquad\textbf{(E)}\ 1,2$

Solution

$\fbox{}$

1959 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 46	Followed by Problem 48
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1959 AHSME Problems/Problem 47

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