Logical Reasoning – In an 8 X 8 chessboard a queen

DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

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.

Questions

Q1) If the queen is at c5, and the other pieces at positions c2, gl, g3, g5 and a3, how many are under attack by the queen? There are no other pieces on the board.

A) 2
‘ B) 3
C) 4
D) 5

Q2) If the other pieces are only at positions al, a3, b4, d7, h7 and h8, then which of the following positions of the queen results in the maximum number of pieces being under attack?

A) f8
B) a7
C) c1
D) d3

Q3) 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?

A) 0
B) 3
C) 4
D) 6

Q4) 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?

A) 32
B) 35
C) 36
D) 37

Answers

Q1: Option (C)
Q2: Option (D)
Q3: Option (C)
Q4: Option (C)

Solutions

Q1 CAT 2017 – Logical Reasoning

P1 is in the same column as Queen
P2 is in the same diagonal as Queen
P3 is not in the same diagonal, column or row of the queen
P4 is in the same row as queen
P5 is diagonal to queen
So, acc to the question, queen can attack P1, P2, P4 and P5

Q2 CAT 2017 – Logical Reasoning
When Queen is at f8

The Queen can attack P6 (same row), P3 (Same diagonal). So, 2
When Queen is at a7

The Queen can attack P2 (Same column), P4 (Same row). So, 2
When Queen is at c1

The Queen can attack P1 (Same row), P2 (Same Diagonal). So, 2
When Queen is at d3

Here, the queen can attack P2 (Same row), P4 (Same Column), P5 (Same Diagonal). So, 3
Option (D) is the right answer.

Q3 CAT 2017 – Logical Reasoning
Queen cannot be placed in Columns A, B, D, and H. From the remaining columns, it has to be assessed. For e.g. COLUMN C:-> If Queen is placed in c2, it will attack h7. Further, other positions in the column c can be ruled out. Similarly, analyzing other squares, the result is as follows:
Queen can be placed in e2, f2, g2, g5 (such that the pieces on board are NOT under attack). So, there are a total of 4 such squares for the Queen.

Q4 CAT 2017 – Logical Reasoning
Given that Queen is at d5. The squares which will be under attack are as indicated below. These squares are either lying in the diagonal, or in the row or in the column. The remaining squares that are safe have been kept empty. A total of 36 such squares are safe (by counting).

Option (C)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 4: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N).
Logical Reasoning – Set 5: A new airlines company is planning to start operations in a country.
Logical Reasoning – Set 6: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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