Art of Problem Solving

1960 AHSME Problems/Problem 10: Difference between revisions

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==Solution==
==Solution==
<math>\fbox{(D)4}</math>
<math>\fbox{(C)3}</math>
Because No men are good negates All men are good.

Revision as of 12:47, 5 February 2019

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

$\fbox{(C)3}$ Because No men are good negates All men are good.