CAT DILR Questions | CAT Analytical Reasoning questions
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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 . 72
What is the minimum number of different numerals needed to fill a 5×5 square matrix?
Explanatory Answer
Method of solving this CAT DILR Question from Analytical Reasoning question
Correct Answer: 4
Solution:
Now, we have worked with a 3 x 3. We know that the 4 corner squares of the 3 x 3 can be the same number.
So, let us fill out a set of 3 x 3’s within this 5 x 5. We can build from there.
Now, let us fill out squares in between the 1’s row wise and then column wise.
Now, let us fill out squares in between the 1’s row wise and then column wise.
Now, this wonderful matrix fills itself. All the missing numbers should be the 4th numeral.
We know that to fill a mere 3 x 3 we needed at least 4 numerals.
If we have filled a 5 x 5 with 4 numerals, this fills me with enormous confidence.
Now, we can kill this set.
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