CAT 2018 Slot 1 DILR Set 3 Q9–Q12

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2018 Slot 1, with 4 questions (Grids & Matrices). Answers are CAT's official key.

The set

You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.

Question 9

What is the minimum number of different numerals needed to fill a 3×3 square matrix? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 4 Grids & Matrices TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 10

What is the minimum number of different numerals needed to fill a 5×5 square matrix? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 4 Grids & Matrices TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 11

Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix?
  1. A
    4
  2. B
    16
  3. C
    9
  4. D
    25

Answer: (A) 4 Grids & Matrices MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 12

Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?
  1. A
    9
  2. B
    25
  3. C
    16
  4. D
    4

Answer: (A) 9 Grids & Matrices MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Fill a grid with symbols/numbers obeying adjacency or ordering rules.

More Grids & Matrices questions from CAT

All 67 Grids & Matrices questions asked since 2017.