A word is represented by only one set of numbers as given in any one of the alternatives. The set of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The coulmns 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 coulm, for example ‘G’ can be represented by, 31, 43 etc and ‘Q’ can be represented by 96, 99 etc. Similarly, you have to identify the set for the word ‘WAXY’. Matrix - I Matrix - II 0 1 2 3 4 5 6 7 8 9 0 F A A E I 5 S Y Z S N 1 L E F L B 6 N T V W O 2 M F I E L 7 U Z S O P 3 H G K I E 8 Y W O N R 4 B B A G E 9 N Q Z X Q
68, 42, 98, 85
Understanding Matrix Coding Questions
Matrix coding questions require you to decode words or letters based on their position within given matrices. Each letter is represented by a pair of numbers: the row number followed by the column number. You need to use the provided matrices to find the correct numerical representation for the letters in the target word.
Analyzing the Provided Matrices
We have two matrices:
- Matrix - I: Rows and Columns are numbered from 0 to 4.
- Matrix - II: Rows and Columns are numbered from 5 to 9.
A letter's code is its row number followed by its column number. For example, 'G' is given as 31 (Matrix I, Row 3, Column 1) or 43 (Matrix I, Row 4, Column 3). 'Q' is given as 96 or 99 (Matrix II, Row 9, Column 6 or 9).
| Matrix - I | |||||
|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | |
| 0 | F | A | A | E | I |
| 1 | L | E | F | L | B |
| 2 | M | F | I | E | L |
| 3 | H | G | K | I | E |
| 4 | B | B | A | G | E |
| Matrix - II | |||||
|---|---|---|---|---|---|
| 5 | 6 | 7 | 8 | 9 | |
| 5 | S | Y | Z | S | N |
| 6 | N | T | V | W | O |
| 7 | U | Z | S | O | P |
| 8 | Y | W | O | N | R |
| 9 | N | Q | Z | X | Q |
Decoding the Word 'WAXY'
We need to find the sequence of numbers that represents the word 'WAXY'. Let's look for each letter in the matrices:
- W: Found in Matrix II. Possible codes: 68, 81.
- A: Found in Matrix I. Possible codes: 01, 02, 11, 14, 33, 40, 42, 44.
- X: Found in Matrix II. Possible codes: 98.
- Y: Found in Matrix II. Possible codes: 56, 80, 85.
Checking the Options
Now let's examine each option and see which one provides a valid sequence for 'WAXY'.
- 41, 57, 12, 66
- 41: Matrix I, Row 4, Column 1 is 'B'. This is not 'W'. So, Option 1 is incorrect.
- 68, 42, 98, 85
- 68: Matrix II, Row 6, Column 8 is 'W'. Correct.
- 42: Matrix I, Row 4, Column 2 is 'A'. Correct.
- 98: Matrix II, Row 9, Column 8 is 'X'. Correct.
- 85: Matrix II, Row 8, Column 5 is 'Y'. Correct.
- 44, 56, 13, 56
- 44: Matrix I, Row 4, Column 4 is 'E'. This is not 'W'. So, Option 3 is incorrect.
- 24, 75, 44, 78
- 24: Matrix I, Row 2, Column 4 is 'L'. This is not 'W'. So, Option 4 is incorrect.
Based on the analysis, only Option 2 provides a valid representation for the word 'WAXY' using the given matrices.
Revision Table: Matrix Coding Rules
| Concept | Description | Example |
|---|---|---|
| Matrix - I | Rows and Columns 0-4 | Letter at (3, 2) in Matrix I is 'K', code is 32. |
| Matrix - II | Rows and Columns 5-9 | Letter at (7, 9) in Matrix II is 'P', code is 79. |
| Letter Code | Row Number followed by Column Number | For 'G', 31 (Row 3, Col 1 in Matrix I) or 43 (Row 4, Col 3 in Matrix I). |
Additional Information: Types of Coding-Decoding
Matrix coding is a specific type of coding-encoding problem often found in reasoning sections of competitive exams. Other types include:
- Letter Coding: Replacing letters with other letters based on a pattern.
- Number Coding: Assigning numerical values to letters or words.
- Symbol Coding: Using symbols to represent letters or words.
- Mixed Coding: A combination of letter, number, or symbol coding.
- Substitution Coding: Substituting words for other words (e.g., 'if blue is called green', etc.).
Understanding the specific rules or patterns for each type is key to solving these problems efficiently.
Important Questions from Matrix
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 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
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
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 row and next by its column, for example, ‘B’ can be represented by 42, 34 etc., and ‘Z’ can be represented by 57, 96 etc. Similarly, you have to identify the set for the word “FAZE”.
Matrix-I
0
1
2
3
4
0
D
H
K
G
E
1
D
A
C
C
C
2
J
A
H
H
E
3
C
K
D
H
B
4
H
F
B
H
J
Matrix-II
5
6
7
8
9
5
X
U
Z
V
X
6
S
P
O
P
Y
7
X
Q
O
Q
Q
8
R
P
R
N
P
9
W
Z
T
O
O
