CAT DILR Questions | CAT Analytical Reasoning questions

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FundaMakers as a team has taken a painstaking step to bring you all the video solutions of the Data Interpretation and Logical Reasoning (DILR) asked in the Previous Year CAT exam. CAT question bank offered by FundaMakers is a power-packed topic-wise compilation of the entire CAT previous year questions. DILR  is mostly about meticulous practice, as there are minimal concepts to learn. To maximize your CAT score in DILR make use of FundaMakers CAT Question Bank. Questions from CAT previous years” examination papers have been incorporated. Let’s get started with CAT Past Year Data Interpretation and Logical Reasoning (DILR) Questions.

Comprehension

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.

CAT/2018.1

Question . 71

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

Explanatory Answer

Method of solving this CAT DILR Question from Analytical Reasoning question

Correct Answer: 4

Solution:

Let us fill out the 4 corner squares with the same numeral

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The center cell has to be different from everything else, so let us worry about it right at the end. We can accommodate cells (2,1) and (2,3) with the same number. We can also fill (1, 2) and (3,2) with the same number
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The center cell has to be a different number.
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Now, this is feasible. Question is, can we fill with only 3 numbers?
Note that the center cell has to be different from everything else.
So, if we had to fill the entire matrix with only 4 numbers, we would have to fill the 8 border squares with only 2 numerals.
This is impossible.

 

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