Difference between revisions of "1951 AHSME Problems/Problem 7"

(Created page with "== Problem == An error of <math> .02''</math> is made in the measurement of a line <math> 10''</math> long, while an error of only <math> .2''</math> is made in a measurement of ...")
 
 
(One intermediate revision by one other user not shown)
Line 6: Line 6:
  
 
== Solution ==
 
== Solution ==
{{solution}}
+
There error percentage of the first measure is <math>0.2\%</math>. The error percentage of the second measure is also <math>0.2\%</math>. Therefore, the answer is <math>\textbf{(B)}\ \text{the same} </math>
  
 
== See Also ==
 
== See Also ==
Line 12: Line 12:
  
 
[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Algebra Problems]]
 +
{{MAA Notice}}

Latest revision as of 11:20, 5 July 2013

Problem

An error of $.02''$ is made in the measurement of a line $10''$ long, while an error of only $.2''$ is made in a measurement of a line $100''$ long. In comparison with the relative error of the first measurement, the relative error of the second measurement is:

$\textbf{(A)}\ \text{greater by }.18 \qquad\textbf{(B)}\ \text{the same} \qquad\textbf{(C)}\ \text{less}$ $\textbf{(D)}\ 10 \text{ times as great} \qquad\textbf{(E)}\ \text{correctly described by both (A) and (D)}$

Solution

There error percentage of the first measure is $0.2\%$. The error percentage of the second measure is also $0.2\%$. Therefore, the answer is $\textbf{(B)}\ \text{the same}$

See Also

1951 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png