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.)
Answer Choices:
A.
B.
C.
D.
E.
Solution:
First mark the largest number in each column.
Determine if any of the marked numbers is the smallest in its row. Only is.
Note. One could also begin by finding the smallest number in each row. Then a check of the columns yields the answer .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions