Difference between revisions of "1951 AHSME Problems/Problem 14"

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== Solution ==  
 
== Solution ==  
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After reading the options, it is very apparent that <math> \textbf{(E)}\ \text{Indirect proof can be used whenever there are two or more contrary propositions.}</math> is the correct answer; rigorous proof is needed no matter what.
  
 
== See Also ==
 
== See Also ==
 
{{AHSME 50p box|year=1951|num-b=13|num-a=15}}
 
{{AHSME 50p box|year=1951|num-b=13|num-a=15}}
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{{MAA Notice}}

Latest revision as of 12:20, 5 July 2013

Problem

In connection with proof in geometry, indicate which one of the following statements is incorrect:

$\textbf{(A)}\ \text{Some statements are accepted without being proved.}$ $\textbf{(B)}\ \text{In some instances there is more than one correct order in proving certain propositions.}$ $\textbf{(C)}\ \text{Every term used in a proof must have been defined previously.}$ $\textbf{(D)}\ \text{It is not possible to arrive by correct reasoning at a true conclusion if, in the given, there is an untrue proposition.}$ $\textbf{(E)}\ \text{Indirect proof can be used whenever there are two or more contrary propositions.}$

Solution

After reading the options, it is very apparent that $\textbf{(E)}\ \text{Indirect proof can be used whenever there are two or more contrary propositions.}$ is the correct answer; rigorous proof is needed no matter what.

See Also

1951 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 13
Followed by
Problem 15
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All AHSME Problems and Solutions

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