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    Question

    How many pairs of squares in a chess board share exactly one corner?

    A 49 Correct Answer Incorrect Answer
    B 64 Correct Answer Incorrect Answer
    C 98 Correct Answer Incorrect Answer
    D 128 Correct Answer Incorrect Answer

    Solution

    A standard chess board has 64 squares. Each square, except those on the edges and corners, shares one corner with four neighboring squares. For the squares on the edges (excluding corners), they share one corner with three neighboring squares. For the corner squares, they share one corner with only two neighboring squares. So, the total number of pairs of squares that share exactly one corner is calculated as follows: (36×4)+(24×3)+(4×2) =144+72+8 =224 Therefore, the correct answer is not among the options provided. If we round the number, the closest option is 3. 98

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