CAT Questions | CAT LR DI

CAT DILR | CAT Previous year questions

CAT DI LR section has become increasingly tough beginning from 2015. However, Understanding the basics of Bar graphs, Pie Charts, Multiple graphs, Line Graphs etc forms an integral part of solving tougher CAT level DI LR questions for the CAT Exam. This question is from CAT 2017 Slot 2 CAT DILR.

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 3: If the other pieces are only at positions al, a3, b4, d7, h7 and h8, then from how many positions the queen cannot attack any of the pieces?

  1. 0
  2. 3
  3. 4
  4. 6

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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.

CAT DI LR 2017 Slot 2

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

CAT DI LR 2017 Slot 2

Now, let us go after the diagonals

CAT DI LR 2017 Slot 2

There are 4 cells remaining

CAT DI LR 2017 Slot 2

4 is the correct answer.

The question is "how many positions the queen cannot attack any of the pieces?"

Hence, the answer is "4".

Choice C is the correct answer.

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