1960 AHSME Problems/Problem 10

Problem 10

Given the following six statements: $\text{(1) All women are good drivers}$ $\text{(2) Some women are good drivers}$ $\text{(3) No men are good drivers}$ $\text{(4) All men are bad drivers}$ $\text{(5) At least one man is a bad driver}$ $\text{(6) All men are good drivers.}$

The statement that negates statement $(6)$ is:

$\textbf{(A) }(1)\qquad \textbf{(B) }(2)\qquad \textbf{(C) }(3)\qquad \textbf{(D) }(4)\qquad \textbf{(E) }(5)$

Solution

$\fbox{(E)5}$ \newline\newline If you look at (5) and (6), if either one of them are false, it implies that the other one is true and vice versa. \newline

1960 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 9	Followed by Problem 11
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1960 AHSME Problems/Problem 10

Problem 10

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