Difference between revisions of "1991 AJHSME Problems/Problem 6"
5849206328x (talk | contribs) (Created page with '==Problem== Which number in the array below is both the largest in its column and the smallest in its row? (Columns go up and down, rows go right and left.) <cmath>\begin{tabul…') |
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{{AJHSME box|year=1991|num-b=5|num-a=7}} | {{AJHSME box|year=1991|num-b=5|num-a=7}} | ||
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
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Latest revision as of 00:06, 5 July 2013
Problem
Which number in the array below is both the largest in its column and the smallest in its row? (Columns go up and down, rows go right and left.)
![\[\begin{tabular}[t]{ccccc} 10 & 6 & 4 & 3 & 2 \\ 11 & 7 & 14 & 10 & 8 \\ 8 & 3 & 4 & 5 & 9 \\ 13 & 4 & 15 & 12 & 1 \\ 8 & 2 & 5 & 9 & 3 \end{tabular}\]](http://latex.artofproblemsolving.com/a/2/f/a2f94b73e928c49ee0bf3205e524e03cf1f6cfb4.png)
Solution
The largest numbers in the first, second, third, fourth and fifth columns are 
respectively. Of these, only 
is the smallest in its row 
.
See Also
| 1991 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 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. 
