CAT Questions | CAT LR DI

Solve this DILR Question on Chessboard from CAT 2017. This set is on the easier spectrum of questions that appear in CAT DILR Section. You are expected to answer the questions that follow, based on the simple rules as to how the pieces on a Chessboard move. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

CAT DILR : 2017 slot 2 questions

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.

Question 4: 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?

1. 32
2. 35
3. 36
4. 37

Video Explanation

Explanatory Answer

Method of solving this Question on CAT DILR

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.



A row, a column and two diagonals are out.
Each of these has 8 squares.But there will be overlaps here.

Squares under attack = 8 + 7 + 7 + 6 = 28 (including the One the queen is on)
Squares not under attack = 36



36 is the correct answer.

The question is "In how many positions can another piece be placed on the board such that it is safe from attack from the queen??"

Hence, the answer is "36".

Choice C is the correct answer.