A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matri×-I are numbered from 0 to 4 and that of Matri×-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and ne×t by its column, for e×ample ‘C’ can be represented by 21, 34 etc and ‘T’ can be represented by 97, 89 etc. Similarly, you have to identify the set for the word ‘MAZE’. Matrix- I 0 1 2 3 4 0 E F H E I 1 E G E M M 2 K C H G L 3 L J G G C 4 J A M J J Matrix- II 5 6 7 8 9 5 N W P V S 6 R W Q Y N 7 P Z P U U 8 N Q U R T 9 R V T Q O
14,41,76,12
Understanding Matrix Coding
This question asks us to find the numerical code for the word 'MAZE' based on the provided matrices and a specific coding rule. Each letter is represented by a pair of numbers, where the first number indicates the row and the second number indicates the column in which that letter is found.
The matrices are divided into two parts: Matrix-I covers rows and columns numbered 0 to 4, and Matrix-II covers rows and columns numbered 5 to 9.
Coding Rule Explained
The rule for representing a letter is to use its row number followed by its column number. For example, to find codes for the letter 'C', we look in the matrices:
- In Matrix-I, 'C' is at row 2, column 1, giving the code 21.
- In Matrix-I, 'C' is also at row 3, column 4, giving the code 34.
Similarly, for 'T':
- In Matrix-II, 'T' is at row 9, column 7, giving the code 97.
- In Matrix-II, 'T' is also at row 8, column 9, giving the code 89.
We need to apply this rule to find the code for the word 'MAZE'.
Provided Matrices
Here are the matrices given in the problem:
| 0 | 1 | 2 | 3 | 4 | |
|---|---|---|---|---|---|
| 0 | E | F | H | E | I |
| 1 | E | G | E | M | M |
| 2 | K | C | H | G | L |
| 3 | L | J | G | G | C |
| 4 | J | A | M | J | J |
| 5 | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|
| 5 | N | W | P | V | S |
| 6 | R | W | Q | Y | N |
| 7 | P | Z | P | U | U |
| 8 | N | Q | U | R | T |
| 9 | R | V | T | Q | O |
Decoding the Word 'MAZE'
We need to find a sequence of four number pairs that represent the letters M, A, Z, and E in that exact order. Let's find the possible codes for each letter:
- M: Look for 'M' in the matrices. In Matrix-I, 'M' is at (1,2), (1,3), (1,4), (4,2), (4,3). Possible codes for M are 12, 13, 14, 42, 43.
- A: Look for 'A'. In Matrix-I, 'A' is at (4,0), (4,1). Possible codes for A are 40, 41.
- Z: Look for 'Z'. In Matrix-II, 'Z' is at (7,6). The possible code for Z is 76.
- E: Look for 'E'. In Matrix-I, 'E' is at (0,0), (1,0). In Matrix-II, 'E' is at (5,8), (6,5). Possible codes for E are 00, 10, 58, 65.
Checking the Given Options
Now we check each option to see if the sequence of numbers corresponds to the letters M, A, Z, E based on our findings from the matrices. We need to find an option where the first number is a valid code for M, the second for A, the third for Z, and the fourth for E.
Let's examine the option given as the correct answer: 14, 41, 76, 12.
- First number: 14
Check if 14 is a valid code for 'M'. In Matrix-I, row 1, column 4 contains 'M'. So, 14 represents 'M'. This matches the first letter of 'MAZE'.
- Second number: 41
Check if 41 is a valid code for 'A'. In Matrix-I, row 4, column 1 contains 'A'. So, 41 represents 'A'. This matches the second letter of 'MAZE'.
- Third number: 76
Check if 76 is a valid code for 'Z'. In Matrix-II, row 7, column 6 contains 'Z'. So, 76 represents 'Z'. This matches the third letter of 'MAZE'.
- Fourth number: 12
Check if 12 is a valid code for 'E'. In Matrix-I, row 1, column 2 contains 'M'. So, 12 represents 'M'. This does not match the fourth letter 'E' of 'MAZE'.
Conclusion based on the provided option
Following the process of checking the provided option against the matrices:
- 14 corresponds to M (Matrix-I, 1,4).
- 41 corresponds to A (Matrix-I, 4,1).
- 76 corresponds to Z (Matrix-II, 7,6).
- 12 corresponds to M (Matrix-I, 1,2).
Thus, the sequence 14, 41, 76, 12 represents M A Z M based on the matrices and the coding rule. We are asked to identify the set for 'MAZE' from the options provided.
Revision Table: Key Concepts in Matrix Coding
| Concept | Description | Application in this Problem |
|---|---|---|
| Matrix structure | Letters arranged in rows and columns. | Letters are in two matrices with specific row/column ranges. |
| Coding rule | Mapping letters to numbers (row-column or column-row). | Using row index then column index to form the code. |
| Decoding process | Finding the letter corresponding to a given number code. | Locating the cell (row, column) indicated by the code in the matrix. |
| Word coding | Representing a word as a sequence of letter codes. | Finding the sequence of codes for M, A, Z, E. |
Additional Information: Tips for Matrix Reasoning Questions
Matrix-based problems often appear in competitive exams and test your analytical skills. Here are some helpful points:
- Always confirm the starting index for rows and columns (usually 0 or 1).
- Pay close attention to which matrix corresponds to which range of numbers.
- List all possible codes for each letter you need to find; some letters may appear multiple times.
- Cross-reference the given options with the possible codes you've listed for each letter of the target word.
- Be systematic in checking each number in an option against the required letter for that position in the word.
Practicing different types of matrix questions will help improve speed and accuracy.
Important Questions from Matrix
Find the missing number from the below options.
\(\begin{array}{*{20}{c}} 6&{24}&{96}\\ 7&{28}&{112}\\ {13}&{52}&? \end{array}\)
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘F’ can be represented by 12, 43 etc and ‘Z’ can be represented by 87, 98 etc. Similarly, you have to identify the set for the word ‘SOCK’.
Matrix-I
0
1
2
3
4
0
A
E
E
G
H
1
I
A
F
M
D
2
E
M
A
E
H
3
I
A
C
H
B
4
D
K
H
F
E
Matrix-II
5
6
7
8
9
5
Z
P
P
Q
S
6
V
U
S
R
N
7
U
U
N
V
X
8
N
O
Z
V
T
9
R
W
W
Z
N
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are resented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that a Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘K’ can be represented by 23, 41, etc., and ‘P’ can be represented by 59, 67, etc. Similarly, you have to identify the set for the word “NAME”.
Matrix-I
0
1
2
3
4
0
H
H
C
E
A
1
M
E
A
B
I
2
M
L
G
K
E
3
D
H
M
L
E
4
C
K
A
B
E
Matrix-II
5
6
7
8
9
5
O
S
Z
O
P
6
N
W
P
X
W
7
N
S
R
Q
Q
8
O
P
N
X
V
9
V
Z
S
S
T
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘A’ can be represented by 23, 41 etc and ‘U’ can be represented by 86, 97 etc. Similarly, you have to identify the set for the word ‘GONE’.
Matrix-I
0
1
2
3
4
0
G
G
K
A
G
1
D
K
E
E
L
2
K
B
E
A
J
3
L
M
G
J
K
4
K
A
G
L
B
Matrix-II
5
6
7
8
9
5
N
Q
W
S
O
6
O
Q
V
R
R
7
W
O
N
T
Y
8
T
U
Y
R
V
9
N
X
U
S
Q
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are resented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that a Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘D’ can be represented by 24, 41 etc., and ‘T’ can be represented by 96, 87 etc. Similarly, you have to identify the set for the word ‘ GASH’.
Matrix-I
0
1
2
3
4
0
C
G
D
K
M
1
I
B
L
H
B
2
K
B
L
B
D
3
I
A
C
D
E
4
L
D
G
A
E
Matrix-II
5
6
7
8
9
5
P
Q
U
W
R
6
P
Z
V
P
W
7
U
X
Q
X
V
8
V
O
T
N
R
9
P
T
U
S
Y
