A word is represented by only one set of numbers as given in any one of the alternatives. The sets of number 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 ‘Q’ can be represented by 42, 77 etc., and ‘R’ can be represented by 04, 89, etc. Similarly, you have to identify the set for the word “WRITE”. Matrix - I 0 1 2 3 4 0 D G W I R 1 Y M B T S 2 L P Z Y D 3 F E J T N 4 U I Q V X Matrix - II 5 6 7 8 9 5 B E T A N 6 K M I C S 7 U E Q V X 8 D G W L R 9 K B J C S
02, 04, 03, 33, 31
Decoding Words Using Matrix Coding
This question involves decoding a word using a set of numbers based on two matrices. Each matrix contains letters, and a letter's code is formed by its row number followed by its column number. We need to find the set of numbers that represents the word "WRITE".
Understanding the Matrix Coding Rule
- We are given two matrices: Matrix-I and Matrix-II.
- Matrix-I has rows and columns numbered from 0 to 4.
- Matrix-II has rows and columns numbered from 5 to 9.
- A letter's code is determined by its row number first, followed by its column number.
- For example, 'Q' can be 42 (Matrix-I, Row 4, Col 2) or 77 (Matrix-II, Row 7, Col 7). 'R' can be 04 (Matrix-I, Row 0, Col 4) or 89 (Matrix-II, Row 8, Col 9).
The Matrices
| 0 | 1 | 2 | 3 | 4 | |
|---|---|---|---|---|---|
| 0 | D | G | W | I | R |
| 1 | Y | M | B | T | S |
| 2 | L | P | Z | Y | D |
| 3 | F | E | J | T | N |
| 4 | U | I | Q | V | X |
| 5 | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|
| 5 | B | E | T | A | N |
| 6 | K | M | I | C | S |
| 7 | U | E | Q | V | X |
| 8 | D | G | W | L | R |
| 9 | K | B | J | C | S |
Finding Codes for the Word "WRITE"
We need to find a valid sequence of codes for each letter in the word "WRITE": W, R, I, T, E.
Finding codes for each letter:
- W:
- Matrix-I, Row 0, Col 2 = 02
- Matrix-II, Row 8, Col 2 = 82
- R:
- Matrix-I, Row 0, Col 4 = 04
- Matrix-II, Row 8, Col 9 = 89
- I:
- Matrix-I, Row 0, Col 3 = 03
- Matrix-I, Row 4, Col 1 = 41
- Matrix-II, Row 6, Col 7 = 67
- T:
- Matrix-I, Row 1, Col 3 = 13
- Matrix-I, Row 3, Col 3 = 33
- Matrix-II, Row 5, Col 7 = 57
- E:
- Matrix-I, Row 3, Col 1 = 31
- Matrix-II, Row 5, Col 6 = 56
- Matrix-II, Row 7, Col 6 = 76
Checking the Options
Now, let's examine each option to see which one contains a valid sequence of codes for W, R, I, T, E in that exact order.
Option 1: 02, 04, 03, 33, 31
- 02: Represents 'W' (Matrix-I, Row 0, Col 2). Correct.
- 04: Represents 'R' (Matrix-I, Row 0, Col 4). Correct.
- 03: Represents 'I' (Matrix-I, Row 0, Col 3). Correct.
- 33: Represents 'T' (Matrix-I, Row 3, Col 3). Correct.
- 31: Represents 'E' (Matrix-I, Row 3, Col 1). Correct.
All codes in Option 1 match the letters of "WRITE" in sequence.
Option 2: 22, 89, 41, 02, 04
- 22: Represents 'Z' (Matrix-I, Row 2, Col 2), not 'W'. Incorrect.
This option starts incorrectly, so it cannot be the answer.
Option 3: 87, 67, 03, 86, 56
- 87: Represents 'L' (Matrix-II, Row 8, Col 7), not 'W'. Incorrect.
This option starts incorrectly, so it cannot be the answer.
Option 4: 02, 89, 67, 68, 76
- 02: Represents 'W' (Matrix-I, Row 0, Col 2). Correct.
- 89: Represents 'R' (Matrix-II, Row 8, Col 9). Correct.
- 67: Represents 'I' (Matrix-II, Row 6, Col 7). Correct.
- 68: Represents 'C' (Matrix-II, Row 6, Col 8), not 'T'. Incorrect.
This option fails at the fourth letter.
Conclusion
Only Option 1 provides a sequence of numerical codes that correctly represents the word "WRITE" according to the rules of the given matrices.
The correct sequence of codes for "WRITE" is 02, 04, 03, 33, 31.
Revision Table - Matrix Coding
| Letter | Possible Codes (from Matrices) | Code used in Option 1 | Check |
|---|---|---|---|
| W | 02, 82 | 02 | ✔ |
| R | 04, 89 | 04 | ✔ |
| I | 03, 41, 67 | 03 | ✔ |
| T | 13, 33, 57 | 33 | ✔ |
| E | 31, 56, 76 | 31 | ✔ |
Additional Information - Matrix Coding Concepts
Matrix coding is a common type of question in logical reasoning sections of competitive exams. These questions test your ability to understand a given coding rule based on rows and columns of matrices and apply it to find the code for a specific word or letter.
- Key Skill: Carefully reading the rules, especially how rows and columns are numbered and combined to form the code (row-first or column-first).
- Strategy:
- Identify the target word.
- Break the word down into individual letters.
- For each letter, scan both matrices to find all possible numerical codes based on the rule.
- Examine the given options one by one. For each option, check if the first number is a valid code for the first letter, the second number for the second letter, and so on.
- The option where all codes match the letters in sequence is the correct answer.
- Variations: Some questions might reverse the rule (column first, then row), use different numbering schemes, or ask you to decode a given set of numbers back into a word.
Similar Questions
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of number 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 ‘ Y’ can be represented by 00, 22 etc., and ‘U’ can be represented by 42, 59, etc. Similarly, you have to identify the set for the word “PARK”
Matrix - I
0
1
2
3
4
0
Y
I
K
W
X
1
G
J
N
H
V
2
E
O
Y
K
T
3
M
G
W
L
R
4
A
E
U
N
K
Matrix - II
5
6
7
8
9
5
N
I
X
P
U
6
K
V
O
T
S
7
L
P
R
A
D
8
O
H
J
L
N
9
P
J
Q
V
X
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of number 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 ‘A’ can be represented by 24, 95 etc., and ‘M’ can be represented by 11, 66, etc. Similarly, you have to identify the set for the word “PART”
Matrix – I
0
1
2
3
4
0
P
C
W
R
I
1
A
M
O
Q
S
2
U
X
Y
B
A
3
E
H
J
L
N
4
A
R
T
V
U
Matrix – II
5
6
7
8
9
5
T
K
P
F
U
6
G
M
N
H
V
7
E
O
Y
J
T
8
C
F
W
L
R
9
A
S
U
N
X
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. ‘Q’ can be represented by 42, 77, etc., and ‘R’ can be represented by 04, 89, etc. Similarly, you have to identify the set for the word “RITE” .
Matrix-I
0
1
2
3
4
0
D
G
W
I
R
1
Y
M
B
T
S
2
L
P
Z
Y
D
3
F
E
J
T
N
4
U
I
Q
V
X
Matrix-II
5
6
7
8
9
5
B
E
T
A
N
6
K
M
I
C
S
7
U
E
Q
V
X
8
D
G
W
L
R
9
K
B
J
C
S
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 ‘A’ can be represented by 24, 95, etc., and ‘M’ can be represented by 11, 66, etc. similarly. You have to identify the set for the word “PARTY” .
Matrix I
0
1
2
3
4
0
P
C
W
R
I
1
A
M
O
Q
S
2
U
X
Y
B
A
3
E
H
J
L
N
4
A
R
T
V
U
Matrix II
5
6
7
8
9
5
T
K
P
F
U
6
G
M
N
H
V
7
E
O
Y
J
T
8
C
F
W
L
R
9
A
S
U
N
X
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, ‘Y’ can be represented by 00, 22, etc., and ‘U’ can be represented by 42, 59, etc. Similarly, you have to identify the set for the word “PRANK” .
Matrix-I
0
1
2
3
4
0
Y
I
K
W
X
1
G
J
N
H
V
2
E
O
Y
K
T
3
M
G
W
L
R
4
A
E
U
N
K
Matrix-II
5
6
7
8
9
5
N
I
X
P
U
6
K
V
O
T
S
7
L
P
R
A
D
8
D
H
J
L
N
9
P
J
Q
V
X
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, ‘J’ can be represented by 42, 87, etc., and ‘N’ can be represented by 04, 89, etc. Similarly, you have to identify the set for the word “EXACT” .
Matrix-I 0
1
2
3
4
0
A
E
T
S
N
1
L
M
I
C
I
2
U
E
S
V
X
3
D
G
W
L
R
4
O
K
J
C
Z
Matrix-II 5
6
7
8
9
5
Z
G
W
I
Q
6
Y
M
B
T
A
7
L
Q
Z
Y
D
8
F
E
J
T
N
9
U
I
Y
V
X
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of number 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, ‘I’ can be represented by 41, 87, etc., and ‘N’ can be represented by 04, 87, etc. Similarly, you have to identify the set for the word “TRACE” .
Matrix I
0
1
2
3
4
0
F
E
K
O
N
1
P
M
A
C
T
2
Z
G
W
I
Q
3
D
F
A
L
R
4
O
I
S
P
X
Matrix II
5
6
7
8
9
5
M
E
Z
S
T
6
Z
K
F
C
Z
7
L
Q
Z
Y
D
8
A
E
I
R
N
9
Q
Z
T
Y
I
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 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
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
