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
57, 24, 41, 55
Understanding Matrix Coding for Words
This question asks us to decode a word represented by a set of numbers using two matrices. Each letter is represented by a pair of numbers: the first number indicates the row, and the second number indicates the column where the letter is located in one of the matrices.
How the Matrices Work
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.
To find the code for a letter, you locate the letter in one of the matrices, take its row number, and then its column number. For example, if a letter is in Matrix I at row 2 and column 4, its code is 24. If it's in Matrix II at row 9 and column 5, its code is 95.
| 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 |
| 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 |
Decoding the Word "PART"
We need to find the set of number pairs that represents the word "PART". This means finding codes for P, A, R, and T in that specific order.
Possible Codes for Each Letter
- P:
- In Matrix I, P is at row 0, column 0. Code: 00
- In Matrix II, P is at row 5, column 7. Code: 57
- Possible codes for P: {00, 57}
- A:
- In Matrix I, A is at row 1, column 0. Code: 10
- In Matrix I, A is at row 2, column 4. Code: 24
- In Matrix I, A is at row 4, column 0. Code: 40
- In Matrix II, A is at row 9, column 5. Code: 95
- Possible codes for A: {10, 24, 40, 95}
- R:
- In Matrix I, R is at row 0, column 3. Code: 03
- In Matrix I, R is at row 4, column 1. Code: 41
- In Matrix II, R is at row 8, column 9. Code: 89
- Possible codes for R: {03, 41, 89}
- T:
- In Matrix I, T is at row 4, column 2. Code: 42
- In Matrix II, T is at row 5, column 5. Code: 55
- In Matrix II, T is at row 7, column 8. Code: 78
- Possible codes for T: {42, 55, 78}
Checking the Options
Now let's check each option to see if the number pairs match the possible codes for P, A, R, and T in order.
Option 1: 00, 10, 03, 86
- 00 for P? Yes (from {00, 57})
- 10 for A? Yes (from {10, 24, 40, 95})
- 03 for R? Yes (from {03, 41, 89})
- 86 for T? No (86 in Matrix II is N, not T. Possible codes for T are {42, 55, 78})
Option 1 is incorrect.
Option 2: 57, 24, 41, 55
- 57 for P? Yes (from {00, 57})
- 24 for A? Yes (from {10, 24, 40, 95})
- 41 for R? Yes (from {03, 41, 89})
- 55 for T? Yes (from {42, 55, 78})
All codes in Option 2 are valid representations for the letters P, A, R, and T respectively.
Option 3: 00, 40, 89, 78
- 00 for P? Yes (from {00, 57})
- 40 for A? Yes (from {10, 24, 40, 95})
- 89 for R? Yes (from {03, 41, 89})
- 78 for T? Yes (from {42, 55, 78})
Option 3 also contains valid codes for the letters P, A, R, and T respectively.
Option 4: 00, 95, 32, 31
- 00 for P? Yes (from {00, 57})
- 95 for A? Yes (from {10, 24, 40, 95})
- 32 for R? No (32 in Matrix I is J, not R. Possible codes for R are {03, 41, 89})
- 31 for T? No (31 in Matrix I is L, not T. Possible codes for T are {42, 55, 78})
Option 4 is incorrect.
Based on the analysis, Option 2 is a valid representation for the word "PART".
Conclusion
The set of numbers that represents the word "PART" from the given options is 57, 24, 41, 55.
Revision Table: Matrix Coding
Here's a quick summary of the codes for "PART" in the selected option:
| Letter | Code from Option 2 | Matrix | Row | Column |
|---|---|---|---|---|
| P | 57 | Matrix II | 5 | 7 |
| A | 24 | Matrix I | 2 | 4 |
| R | 41 | Matrix I | 4 | 1 |
| T | 55 | Matrix II | 5 | 5 |
Additional Information: Matrix Reasoning Questions
Matrix reasoning questions, like this matrix coding problem, are common in competitive exams. They test your ability to interpret patterns and rules from visual information (the matrices) and apply them to solve a specific problem (decoding a word).
Key aspects of solving matrix coding questions:
- Carefully observe the numbering of rows and columns in each matrix.
- Understand the rule for forming the code (usually row followed by column).
- Systematically find all possible codes for each letter in the target word.
- Match these possible codes against the given options, ensuring the order of letters is maintained.
- Practice with different types of matrices and coding rules to improve speed and accuracy.
Sometimes, multiple valid combinations might exist for a word from the matrices. In such cases, only one of these combinations will be provided among the options.
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 ‘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
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
