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
57, 24, 41, 55, 22
Decoding Words Using Matrix Codes
This problem involves decoding a word using codes provided in two matrices. Each letter is represented by a pair of numbers. The first number indicates the row, and the second number indicates the column in which the letter is found. Matrix-I uses rows and columns numbered 0 to 4, while Matrix-II uses rows and columns numbered 5 to 9.
Let's look at the given matrices:
| 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 |
The question asks us to find the set of codes that represents the word "PARTY". We need to find the possible code pairs (Row, Column) for each letter in the word "PARTY" from the matrices.
Finding Codes for PARTY
Let's find the possible codes for each letter:
- P: In Matrix-I, P is at (0,0). In Matrix-II, P is at (5,7). Possible codes for P are 00, 57.
- A: In Matrix-I, A is at (1,0), (2,4), (4,0). In Matrix-II, A is at (9,5). Possible codes for A are 10, 24, 40, 95.
- R: In Matrix-I, R is at (0,3), (4,1). In Matrix-II, R is at (8,9). Possible codes for R are 03, 41, 89.
- T: In Matrix-I, T is at (4,2). In Matrix-II, T is at (5,5), (7,9). Possible codes for T are 42, 55, 79.
- Y: In Matrix-I, Y is at (2,2). In Matrix-II, Y is at (7,7). Possible codes for Y are 22, 77.
So, for the word "PARTY", the sequence of codes must correspond to these letters in order. The required set must be (Code for P), (Code for A), (Code for R), (Code for T), (Code for Y).
Analyzing the Options
Let's check each option against the possible codes for each letter of "PARTY".
Option 1: 00, 10, 03, 86, 32
- 00: P? Yes (Matrix-I, 0,0).
- 10: A? Yes (Matrix-I, 1,0).
- 03: R? Yes (Matrix-I, 0,3).
- 86: T? Let's check Matrix-II (8,6) gives L. This is not T.
Option 1 is incorrect because 86 does not represent 'T'.
Option 2: 00, 95, 32, 31, 89
- 00: P? Yes (Matrix-I, 0,0).
- 95: A? Yes (Matrix-II, 9,5).
- 32: R? Let's check Matrix-I (3,2) gives J. This is not R.
Option 2 is incorrect because 32 does not represent 'R'.
Option 3: 57, 40, 89, 79, 78
- 57: P? Yes (Matrix-II, 5,7).
- 40: A? Yes (Matrix-I, 4,0).
- 89: R? Yes (Matrix-II, 8,9).
- 79: T? Yes (Matrix-II, 7,9).
- 78: Y? Let's check Matrix-II (7,8) gives J. This is not Y.
Option 3 is incorrect because 78 does not represent 'Y'.
Option 4: 57, 24, 41, 55, 22
- 57: P? Yes (Matrix-II, 5,7).
- 24: A? Yes (Matrix-I, 2,4).
- 41: R? Yes (Matrix-I, 4,1).
- 55: T? Yes (Matrix-II, 5,5).
- 22: Y? Yes (Matrix-I, 2,2).
Option 4 correctly represents each letter of the word "PARTY".
Therefore, the set of numbers representing the word "PARTY" is 57, 24, 41, 55, 22.
Let's verify each code pair:
- 57: Matrix-II, Row 5, Column 7 = P
- 24: Matrix-I, Row 2, Column 4 = A
- 41: Matrix-I, Row 4, Column 1 = R
- 55: Matrix-II, Row 5, Column 5 = T
- 22: Matrix-I, Row 2, Column 2 = Y
This matches the word "PARTY".
Revision Table - Matrix Coding
| Letter | Possible Codes (Row-Column) |
|---|---|
| P | 00, 57 |
| A | 10, 24, 40, 95 |
| R | 03, 41, 89 |
| T | 42, 55, 79 |
| Y | 22, 77 |
Additional Information - Decoding Matrix Puzzles
Matrix coding questions are common in logical reasoning tests. They require careful observation and systematic checking. Here are some tips:
- Understand the rule: Always read carefully how the letter is represented (e.g., Row-Column or Column-Row).
- Note the matrix ranges: Pay attention to the numbering of rows and columns for each matrix (e.g., 0-4, 5-9). This tells you which matrix a given code pair belongs to. For example, a code starting with 0, 1, 2, 3, or 4 is from Matrix-I, while a code starting with 5, 6, 7, 8, or 9 is from Matrix-II.
- Break down the word: Decode the word letter by letter.
- Check options systematically: Go through each option code by code, verifying if it represents the correct letter in the sequence of the word. Stop when you find a mismatch.
- Multiple codes: Be aware that one letter can often be represented by multiple code pairs across the matrices.
Practicing with different matrix layouts and coding rules will improve your speed and accuracy in solving these types of logical reasoning problems for competitive exams.
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 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, ‘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
