Year

CAT 2017

Section

Data

Topic

Games & Tournaments

Difficulty

Hard

Question

Slot-2

Read the passage and answer the questions below.

Passage:

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 1

If the queen is at c 5 , and the other pieces at positions $\mathrm{c} 2, \mathrm{~g} 1, \mathrm{~g} 3, \mathrm{~g} 5$ and a 3 , how many are under attack by the queen? There are no other pieces on the board.

Question 2

If the other pieces are only at positions $a 1, a 3, b 4, d 7, h 7$ and $h 8$ , then which of the following positions of the queen results in the maximum number of pieces being under attack?

f 8

Question 3

If the other pieces are only at positions $\mathrm{a} 1, \mathrm{a} 3, \mathrm{~b} 4, \mathrm{~d} 7, \mathrm{~h} 7$ and h 8 , then from how many positions the queen cannot attack any of the pieces?

Question 4

Suppose the queen is the only piece on the board and it is at position d 5 . In how many positions can another piece be placed on the board such that it is safe from attack from the queen?

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CAT 2017

Data

Games & Tournaments

Hard

Read the passage and answer the questions below.

From CAT Score to IIM Selection!

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