DILR CAT 2017 Slot 2 Chessboard

DILR CAT 2017 Slot 2: Chessboard

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 cth column and 5th row.

Video Solution

Detailed Solution

General Solution

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.





3. If the other pieces are only at positions a1, a3, b4, d7, h7 and h8, then from how many positions the queen cannot attack any of the pieces?
A) 0
B) 3
C) 4
D) 6


Ans. Let us think about the cells that will definitely get covered.
We eliminate 5 rows and 4 columns straight-away



Now, let us go after the diagonals



There are 4 cells remaining



Choice C

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