Difference between revisions of "1960 AHSME Problems/Problem 10"
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==Solution== | ==Solution== | ||
| − | { | + | We can obviously see that statement <math>3</math> contradicts statement <math>6</math> since it says that all men are not good drivers while statement <math>6</math> says they are. So the answer is <math>\boxed{C}</math> |
Revision as of 11:45, 20 December 2018
Problem 10
Given the following six statements:
![\[\text{(1) All women are good drivers}\]](http://latex.artofproblemsolving.com/8/b/4/8b4895c70b5a5f213fc788dd36282abdda113eea.png)
![\[\text{(2) Some women are good drivers}\]](http://latex.artofproblemsolving.com/f/c/e/fce78ab7dbf59f07001747415c05eaca07fadc28.png)
![\[\text{(3) No men are good drivers}\]](http://latex.artofproblemsolving.com/8/f/9/8f923abd2a1e882968ae2eb896bdc580c3a9eca5.png)
![\[\text{(4) All men are bad drivers}\]](http://latex.artofproblemsolving.com/8/7/2/8724677501bea949fc6bce4ee0f9aa2a7373ed79.png)
![\[\text{(5) At least one man is a bad driver}\]](http://latex.artofproblemsolving.com/d/2/7/d279104945e6078b816bf516d1019ae80b675cf2.png)
![\[\text{(6) All men are good drivers.}\]](http://latex.artofproblemsolving.com/6/c/6/6c65b733bfc10fbd17953d943eaf7ac7c2e4f3a6.png)
The statement that negates statement 
is:
Solution
We can obviously see that statement 
contradicts statement 
since it says that all men are not good drivers while statement says they are. So the answer is 
