1991 AJHSME Problems/Problem 6
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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 | ||
