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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 & ...

\text{(A)}\ 1 \qquad \text{(B)}\ 6 \qquad \text{(C)}\ 7 \qquad \text{(D)}\ 12 \qquad \text{(E)}\ 15

Solution

The largest numbers in the first, second, third, fourth and fifth columns are 13,7,15,12,9 respectively. Of these, only 7 is the smallest in its row \rightarrow \boxed{\text{C}}.

See Also

1991 AJHSME (ProblemsResources)
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
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