AMC8 2007
AMC8 2007 · Q11
AMC8 2007 · Q11. It mainly tests Logic puzzles.
Tiles I, II, III and IV are translated so one tile coincides with each of the rectangles A, B, C and D. In the final arrangement, the two numbers on any side common to two adjacent tiles must be the same. Which of the tiles is translated to Rectangle C?
瓦片 I、II、III 和 IV 被平移，使得每个瓦片与矩形 A、B、C 和 D 中的一个重合。在最终排列中，任何两个相邻瓦片共用的边的两个数字必须相同。哪块瓦片被平移到矩形 C？
(A)
I
I
(B)
II
II
(C)
III
III
(D)
IV
IV
(E)
cannot be determined
无法确定
Answer
Correct choice: (D)
正确答案：（D）
Solution
(D) Because Tile III has a 0 on the bottom edge and there is no 0 on any other tile, Tile III must be placed on C or D. Because Tile III has a 5 on the right edge and there is no 5 on any other tile, Tile III must be placed on the right, on D. Because Tile III has a 1 on the left edge and only Tile IV has a 1 on the right edge, Tile IV must be placed to the left of Tile III, that is, on C.
（D）由于第III块瓷片的下边缘是0，并且其他任何瓷片上都没有0，因此第III块必须放在C或D上。由于第III块瓷片的右边缘是5，并且其他任何瓷片上都没有5，因此第III块必须放在右侧，即D上。由于第III块瓷片的左边缘是1，并且只有第IV块瓷片的右边缘是1，因此第IV块必须放在第III块的左边，也就是放在C上。
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