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Slot 1- Matrix Problem
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Matrix Problem

Riya Agarwal is teaching live on Unacademy Plus

Riya Agarwal
I'm here to liberate & share my knowledge. Mostly, all DILR topics are covered for aptitude exams. Use code "IRIYAAGARWAL" for discount on p

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Vivek Singh
6 months ago
Welcome
nice lecture mam really helpful But I have a question in the last problem (4th) 1 is in center so all other numerals cant be 1 since they are adj. to 1 so shouldn't it be 0,1,2,3,4,5,6,7,8.And in that way no's should be 10 which is not even in options :/
1. DILR ANSWER KEY & SOLUTION SLOT 1 CAT 2018

2. About Me .I hold a B.E degree in Electronics & Communication Engineering. . CAT, 17: DI & LR-98.29 %ile. Follow me on the Unacademy learning app for all conceptual courses and practice papers on DI 8 LR topics for CAT and other B-school entrance exams: https://unacademy.com/user/iriyaagarwal . Not al1 are born Einstein's but trust me with hard work and dedication we can together make it possible.

3. DILR ANSWER KEY & SOLUTION SLOT 1 CAT 2018

4. PROBLEM 3

5. Directions for the Q1-Q4: You are given an nxn 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.

6. Answer the following: Q1. What is the minimum number of different numerals needed to fill a 3x3 square matrix? Q2. What is the minimum number of different numerals needed to fill a 5x5 square matrix? Q3. 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 5x5 matrix? 1. 4 2. 16 3. 9 4. 25 Q4. 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 5x5 square matrix? 1. 25 2. 4 3. 16 4. 9

7. You are given an nxn 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.

8. Answer the following: Q1. What is the minimum number of different numerals needed to fill a 3x3 square matrix? Q2. What is the minimum number of different numerals needed to fill a 5x5 square matrix? Q3. 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 5x5 matrix? 1. 4 2. 16 3. 9 4. 25 Q4. 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 5x5 square matrix? 1. 25 2. 4 3. 16 4. 9

9. You are given an nxn 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.

10. You are given an nxn 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. 2 4 3

11. You are given an nxn 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. 2 4 3 4

12. You are given an nxn 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. 2 4 3 4 2

13. You are given an nxn 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. 2 2 4 3 4 3 4 2

14. You are given an nxn 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. 2 3 2 3 2 4 3 4 3 4 4

15. Answer the following: Q1. What is the minimum number of different numerals needed to fill a 3x3 square matrix? Answer: 4 Q2. What is the minimum number of different numerals needed to fill a 5x5 square matrix? Answer:4 Q3. 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 5x5 matrix? 1. 4 2. 16 3. 9 4. 25 Q4. 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 5x5 square matrix? 1. 25 2. 4 3. 16 4. 9

16. You are given an nxn 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. 2 3 2 3 2 4 3 4 3 4 4

17. Answer the following: Q1. What is the minimum number of different numerals needed to fill a 3x3 square matrix? Answer: 4 Q2. What is the minimum number of different numerals needed to fill a 5x5 square matrix? Answer:4 Q3. 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 5x5 matrix? 1. 4 2. 16 3. 9 4. 25 Q4. 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 5x5 square matrix? 1. 25 2. 4 3. 16 4. 9

18. You are given an nxn 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. 2 3 2 3 2 4 3 4 3 4 4