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  • In an 8 × 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions

In an 8 × 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece. 

The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The Position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in cth column and 5th row.

Question:

If the other pieces are only at positions a1, a3, b4, d7, h7 and h8, then which of the following positions of the queen results in the maximum number of pieces being under attack? 

Option: 1

f8


Option: 2

a7


Option: 3

c1


Option: 4

d3


Answers (1)

best_answer

The question asks us to find the position of the queen that results in the maximum number of pieces being under attack. The pieces on the board are a1, a3, b4, d7, h7, and h8.

If the queen is at f8, it can attack h8 and b4. If the queen is at a7, it can attack a3 and d7. If the queen is at c1, it can attack a1 and a3. If the queen is at d3, it can attack a3, d7, and h7.

Therefore, the queen can attack a maximum of 3 pieces if it is at d3. This is the only option that results in 3 pieces being under attack, so it is the correct answer.

Here is a table that summarizes the number of pieces that the queen can attack at each position:

                    Position

                                        Pieces under attack

                        f8

                                                      2

                        a7

                                                      2

                        c1

                                                      2

                        d3

                                                      3

The table shows that the queen can attack a maximum of 3 pieces if it is at d3. 

Therefore, option (4) is the correct answer.

 

Posted by

Ritika Kankaria

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