Difference between revisions of "1990 AJHSME Problems/Problem 7"
5849206328x (talk | contribs) (Created page with '==Problem== When three different numbers from the set <math>\{ -3, -2, -1, 4, 5 \} </math> are multiplied, the largest possible product is <math>\text{(A)}\ 10 \qquad \text{(B…') |
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Latest revision as of 00:05, 5 July 2013
Problem
When three different numbers from the set 
are multiplied, the largest possible product is
Solution
First we try for a positive product, meaning we either pick three positive numbers or one positive number and two negative numbers.
It is clearly impossible to pick three positive numbers. If we try the second case, we want to pick the numbers with the largest absolute values, so we choose 
, 
and 
. Their product is 
.
See Also
| 1990 AJHSME (Problems • Answer Key • Resources) | ||
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
