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 Matrix-I 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, ‘E’ can be represented by 32, 12 etc and ‘X’ can be represented by 87, 79 etc. Similarly, you have to identify the set for the word ‘MYTH’. Matrix-I Matrix-Ii 0 1 2 3 4 5 6 7 8 9 0 H C H E H 5 O P T V U 1 G B E J D 6 P Y V O Z 2 I M I H A 7 T S S V X 3 J B E D D 8 O O X Z V 4 F L C C M 9 R Z U U O
21, 66, 75, 04
Understanding the Matrix Coding Problem
This question asks us to decode a word, MYTH, using two matrices (Matrix-I and Matrix-II). Each matrix contains letters of the alphabet. The columns and rows are numbered. A letter's code is formed by writing its row number first, followed by its column number.
Matrix-I has rows and columns numbered from 0 to 4. Matrix-II has rows and columns numbered from 5 to 9. We need to find a valid sequence of codes for the letters M, Y, T, and H in that specific order, by looking up the letters in the provided matrices.
Analyzing the Provided Matrices
Let's look at the two matrices:
| Matrix-I | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| 0 | H | C | H | E | H |
| 1 | G | B | E | J | D |
| 2 | I | M | I | H | A |
| 3 | J | B | E | D | D |
| 4 | F | L | C | C | M |
| Matrix-II | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|
| 5 | O | P | T | V | U |
| 6 | P | Y | V | O | Z |
| 7 | T | S | S | V | X |
| 8 | O | O | X | Z | V |
| 9 | R | Z | U | U | O |
Finding Codes for MYTH Letters
Let's find all possible representations for each letter in the word MYTH:
Codes for 'M'
- In Matrix-I: Row 2, Column 1 gives 'M' (Code: 21). Row 4, Column 4 gives 'M' (Code: 44).
- In Matrix-II: No 'M'.
Possible codes for M: 21, 44.
Codes for 'Y'
- In Matrix-I: No 'Y'.
- In Matrix-II: Row 6, Column 6 gives 'Y' (Code: 66).
Possible codes for Y: 66.
Codes for 'T'
- In Matrix-I: No 'T'.
- In Matrix-II: Row 5, Column 7 gives 'T' (Code: 57). Row 7, Column 5 gives 'T' (Code: 75).
Possible codes for T: 57, 75.
Codes for 'H'
- In Matrix-I: Row 0, Column 0 gives 'H' (Code: 00). Row 0, Column 2 gives 'H' (Code: 02). Row 0, Column 4 gives 'H' (Code: 04). Row 2, Column 3 gives 'H' (Code: 23).
- In Matrix-II: No 'H'.
Possible codes for H: 00, 02, 04, 23.
Checking the Options for MYTH
We need to find the option that has a valid sequence of codes for M, Y, T, H.
- Option 1: 44, 89, 57, 23
- 44 for M? Yes (Valid code for M).
- 89 for Y? No (89 is 'V' in Matrix-II. Valid code for Y is 66). This option is incorrect.
- Option 2: 20, 89, 66, 43
- 20 for M? No (20 is 'I' in Matrix-I. Valid codes for M are 21, 44). This option is incorrect.
- Option 3: 21, 66, 75, 04
- 21 for M? Yes (Valid code for M).
- 66 for Y? Yes (Valid code for Y).
- 75 for T? Yes (Valid code for T).
- 04 for H? Yes (Valid code for H).
This option contains valid codes for all letters of MYTH in the correct order.
- Option 4: 32, 75, 43, 66
- 32 for M? No (32 is 'E' in Matrix-I. Valid codes for M are 21, 44). This option is incorrect.
Based on the analysis, Option 3 is the only one that provides a sequence of valid codes for the word MYTH according to the given matrices and rules.
Conclusion
The set of numbers 21, 66, 75, 04 represents the word MYTH, with 21 representing M, 66 representing Y, 75 representing T, and 04 representing H.
Revision Table: MYTH Coding
| Letter | Possible Codes (Row-Column) |
|---|---|
| M | 21, 44 |
| Y | 66 |
| T | 57, 75 |
| H | 00, 02, 04, 23 |
Additional Information: Matrix Reasoning Concepts
Matrix reasoning questions are common in competitive exams and test logical thinking and pattern recognition. These questions often involve:
- Matrix-Based Coding: Assigning numerical or symbolic codes to letters or words based on their positions in a grid or matrix, like in this problem.
- Pattern Completion: Identifying the missing element in a matrix based on the patterns in rows, columns, or diagonally.
- Matrix Analogy: Finding a matrix that has the same relationship with a given matrix as a third matrix has with a fourth.
Practicing these types of questions helps improve your ability to quickly and accurately interpret data presented in a grid format and apply given rules consistently.
Important Questions from Matrix
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 in two matrices given below. The columns and rows of Matrix I 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, e.g., ‘M’ can be represented by 01, 14, etc., and ‘S’ can be represented by 58, 77 etc., and ‘S’ can be represented by 58, 77 etc. Similarly, you have to identify the set for the word ‘ROHAN’.
Matrix I
Matrix II
0
1
2
3
4
5
6
7
8
9
0
H
M
X
W
K
5
A
D
E
S
B
1
N
R
N
Y
M
6
T
U
O
G
O
2
K
V
H
P
W
7
O
Q
S
D
A
3
Y
Z
R
M
N
8
S
E
U
E
D
4
W
V
H
J
P
9
Q
B
A
T
O
A word is represented by only one set of number 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 numbered from 0 to 4 and that of Matrix-II are numbered form 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘U’ can be represented by 30, 41 etc and ‘E’ can be represented by 85, 67 etc. Similarly, you have to identify the set for the word ‘SWORD’.
Matrix I
Matrix II
0
1
2
3
4
5
6
7
8
9
0
S
S
Z
V
R
5
J
F
M
I
E
1
R
Z
R
R
Z
6
M
M
E
E
M
2
P
T
O
Y
P
7
D
G
B
L
C
3
U
P
U
U
W
8
E
C
H
H
J
4
O
U
X
Z
X
9
C
H
K
M
K
NEST
FAITH
FINE
