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In an 8 X 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 ctn column and 5tn row.
Q.
Suppose the queen is the only piece on the board and it is at position d5.
In how many positions can another piece be placed on the board such that it is safe from attack from the queen?
- a)32
- b)33
- c)36
- d)37
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In an 8X 8chessboard a queen placed anywhere can attack another piece ...
In order to determine the number of positions where another piece can be placed on the chessboard such that it is safe from attack from the queen, we need to consider the possible positions in each direction - row, column, and diagonals.
1. Row Attacks:
The queen can attack any piece in the same row. Since there are 8 rows on the chessboard, there are 8 possible positions where another piece can be placed in the same row as the queen.
2. Column Attacks:
Similarly, the queen can attack any piece in the same column. Since there are 8 columns on the chessboard, there are 8 possible positions where another piece can be placed in the same column as the queen.
3. Diagonal Attacks:
The queen can attack any piece in the diagonals. There are four possible diagonal directions - top left to bottom right, top right to bottom left, bottom left to top right, and bottom right to top left.
- Top Left to Bottom Right Diagonal:
Starting from position d5, the diagonal positions are: c4, b3, a2, e6, f7, g8. This gives us a total of 6 positions.
- Top Right to Bottom Left Diagonal:
Starting from position d5, the diagonal positions are: e4, f3, g2, h1, c6, b7, a8. This gives us a total of 7 positions.
- Bottom Left to Top Right Diagonal:
Starting from position d5, the diagonal positions are: e6, f7, g8, c4, b3, a2. This gives us a total of 6 positions.
- Bottom Right to Top Left Diagonal:
Starting from position d5, the diagonal positions are: c6, b7, a8, e4, f3, g2, h1. This gives us a total of 7 positions.
4. Total Positions:
Adding up the positions from each direction, we have:
Row attacks: 8 positions
Column attacks: 8 positions
Diagonal attacks: 6 + 7 + 6 + 7 = 26 positions
Therefore, the total number of positions where another piece can be placed on the chessboard such that it is safe from attack from the queen is 8 + 8 + 26 = 42.
However, we need to subtract the position of the queen itself, as it cannot be attacked by another piece. Therefore, the final answer is 42 - 1 = 41.
Therefore, the correct answer is option D) 41.
1. Row Attacks:
The queen can attack any piece in the same row. Since there are 8 rows on the chessboard, there are 8 possible positions where another piece can be placed in the same row as the queen.
2. Column Attacks:
Similarly, the queen can attack any piece in the same column. Since there are 8 columns on the chessboard, there are 8 possible positions where another piece can be placed in the same column as the queen.
3. Diagonal Attacks:
The queen can attack any piece in the diagonals. There are four possible diagonal directions - top left to bottom right, top right to bottom left, bottom left to top right, and bottom right to top left.
- Top Left to Bottom Right Diagonal:
Starting from position d5, the diagonal positions are: c4, b3, a2, e6, f7, g8. This gives us a total of 6 positions.
- Top Right to Bottom Left Diagonal:
Starting from position d5, the diagonal positions are: e4, f3, g2, h1, c6, b7, a8. This gives us a total of 7 positions.
- Bottom Left to Top Right Diagonal:
Starting from position d5, the diagonal positions are: e6, f7, g8, c4, b3, a2. This gives us a total of 6 positions.
- Bottom Right to Top Left Diagonal:
Starting from position d5, the diagonal positions are: c6, b7, a8, e4, f3, g2, h1. This gives us a total of 7 positions.
4. Total Positions:
Adding up the positions from each direction, we have:
Row attacks: 8 positions
Column attacks: 8 positions
Diagonal attacks: 6 + 7 + 6 + 7 = 26 positions
Therefore, the total number of positions where another piece can be placed on the chessboard such that it is safe from attack from the queen is 8 + 8 + 26 = 42.
However, we need to subtract the position of the queen itself, as it cannot be attacked by another piece. Therefore, the final answer is 42 - 1 = 41.
Therefore, the correct answer is option D) 41.
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In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer?
Question Description
In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer?.
In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer?.
Solutions for In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In an 8X 8chessboard 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 ctn column and 5tn row.Q.Suppose the queen is the only piece on the board and it is at position d5.In how many positions can another piece be placed on the board such that it is safe from attack from the queen?a)32b)33c)36d)37Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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