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 . 74

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?

A : 9 B : 25 C : 16 D : 4

View Answer

Explanatory Answer

Method of solving this CAT DILR Question from Analytical Reasoning question

Correct Option: A

Solution:

This is what we get for saying this set is easy!
Let us keep all our 1’s in place and work down from there.
Now, let us take the middle 1 and fill different numerals all around it. We will worry about the rest later on.
CAT DI LR 2018 Slot 1
Hang on, this does not work. The 4 at (2, 4) has four 1’s surrounding it. That cannot be right. Our approach of filling the 1’s is not correct.
Two boxes that have only two cells in between them cannot have the same numeral. If that happens we are in trouble. So, let us restart by keeping this in mind. Fill a few 1’s.
CAT DI LR 2018 Slot 1
Let us fill 1’s that cannot conflict in any way. The way shown in the diagram is good as it ensures that there is no conflict.

So, we can fill the 5 x 5 entirely with 9 different numerals.