Difference between revisions of "1991 AJHSME Problems/Problem 8"
5849206328x (talk | contribs) (Created page with '==Problem== What is the largest quotient that can be formed using two numbers chosen from the set <math>\{ -24, -3, -2, 1, 2, 8 \}</math>? <math>\text{(A)}\ -24 \qquad \text{(B…') |
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
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Latest revision as of 23:07, 4 July 2013
Problem
What is the largest quotient that can be formed using two numbers chosen from the set 
?
Solution
Let the two chosen numbers be 
and 
. To maximize the quotient, we first have either 
or 
, and from there we maximize 
and minimize 
.
For the case , we have 
and 
, which gives us 
. For the case , we have 
and 
, which gives us 
.
Since 
, our answer is 
.
See Also
| 1991 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
