1991 AJHSME Problems/Problem 8
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 | |
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All AJHSME/AMC 8 Problems and Solutions |
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