1991 AJHSME Problems/Problem 8
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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 |