AMC8 1993
AMC8 1993 · Q14
AMC8 1993 · Q14. It mainly tests Logic puzzles.
The nine squares in the table shown are to be filled so that every row and every column contains each of the numbers 1, 2, 3. Then A + B =
表中的九个方格要填写，使得每行和每列都包含数字1、2、3。然后 A + B =
(A)
2
2
(B)
3
3
(C)
4
4
(D)
5
5
(E)
6
6
Answer
Correct choice: (C)
正确答案：（C）
Solution
Only 3’s can complete a $2\times2$ square whose diagonal is given. If two entries in a row or column are known, the third is determined. Use this to complete the table; thus $A=1$ and $B=3$. Therefore, $A+B=4$.
给定对角线的 $2\times2$ 方格只能用 3 来补全。若某一行或某一列已知两个数，则第三个数被确定。按此补全表格得到 $A=1$，$B=3$，因此 $A+B=4$。
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