CAT 2017 Question Paper (Shift-2) Question 57

Instructions

In an 8 X 8 chess board a queen placed any where 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 $$c^{th}$$ column and $$5^{th}$$ row.

Question 57

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?

Name: 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?
Uploaded: Oct. 18, 2021, 5:09 p.m.
Duration: 13 min 22 s
Description: 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?

Solution

From the diagram we can see that except positions e2, f2, g2 and g5 queen can attack at least one among the given pieces.

Hence, we can say that there are exactly for position from where queen can’t attack any of the given pieces. Therefore, option C is the correct answer.