1991 AMC 8 Problem 6
Attempt Problem 6 of the 1991 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1991 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
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: C
Small hint:
First find the largest number in each of the five columns
Big hint:
Then check which of those column-maxima is also the smallest number in its own row
Solution:
The largest entry in each column is (column ), (column ), (column ), (column ), and (column ).
Of these, only is the smallest number in its own row (row is ).
Thus, the correct answer is C .
Problem 6 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1992 AMC 8
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