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
95, 40, 77, 65
Matrix Coding Explanation
This question asks us to find the correct set of numbers that represents the word "PARK" based on the given matrices. Each letter is coded using its row number followed by its column number in one of the matrices.
We have two matrices:
| 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 |
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 formed by its row number followed by its column number.
- For example, 'Y' can be represented by 00 (Matrix I, row 0, col 0) or 22 (Matrix I, row 2, col 2).
- 'U' can be represented by 42 (Matrix I, row 4, col 2) or 59 (Matrix II, row 5, col 9).
We need to find the representation for the word "PARK". Let's find the possible codes for each letter:
Finding Codes for P, A, R, K
- P:
- In Matrix I: P is not present.
- In Matrix II: P is found at row 5, column 8 (58); row 7, column 6 (76); and row 9, column 0 (90), row 9, column 5 (95).
- Possible codes for P: 58, 76, 90, 95.
- A:
- In Matrix I: A is found at row 4, column 0 (40).
- In Matrix II: A is found at row 7, column 8 (78).
- Possible codes for A: 40, 78.
- R:
- In Matrix I: R is found at row 3, column 4 (34).
- In Matrix II: R is found at row 7, column 7 (77).
- Possible codes for R: 34, 77.
- K:
- In Matrix I: K is found at row 0, column 2 (02); row 2, column 3 (23); row 4, column 4 (44).
- In Matrix II: K is found at row 6, column 5 (65).
- Possible codes for K: 02, 23, 44, 65.
Checking the Options
Now, let's examine each given option to see which one provides a valid sequence of codes for P, A, R, and K in that specific order.
- 58, 40, 86, 34
- 58 represents P (Valid)
- 40 represents A (Valid)
- 86 represents J (Matrix II, row 8, col 6) - This is not R.
- 76, 55, 89, 23
- 76 represents P (Valid)
- 55 represents N (Matrix II, row 5, col 5) - This is not A.
- 23, 78, 34, 02
- 23 represents K (Matrix I, row 2, col 3) - This should be P.
- 95, 40, 77, 65
- 95 represents P (Matrix II, row 9, col 5) - Valid.
- 40 represents A (Matrix I, row 4, col 0) - Valid.
- 77 represents R (Matrix II, row 7, col 7) - Valid.
- 65 represents K (Matrix II, row 6, col 5) - Valid.
Option 4 provides a set of codes (95, 40, 77, 65) where each number correctly represents the corresponding letter in the word "PARK" according to the given matrices and coding rules.
Therefore, the set for the word "PARK" is 95, 40, 77, 65.
Matrix Coding Revision Table
| Letter | Possible Codes (Row, Column) | Matrix |
|---|---|---|
| P | 58, 76, 90, 95 | Matrix II |
| A | 40, 78 | Matrix I, Matrix II |
| R | 34, 77 | Matrix I, Matrix II |
| K | 02, 23, 44, 65 | Matrix I, Matrix II |
Additional Information on Matrix Coding
Matrix coding is a type of reasoning question where letters are assigned numerical codes based on their position in one or more matrices. These questions test your ability to interpret patterns and follow specific rules for translation.
- How it works: Typically, two matrices are provided, each with rows and columns labeled with numbers (or sometimes letters). A letter is coded by combining its row and column index. The order (row first, then column, or vice-versa) is always specified.
- Solving Strategy: To solve these problems, first understand the coding rule (row-column or column-row). Then, look up each letter of the target word in the matrices and list all possible codes for each letter. Finally, check the given options against the target word, ensuring that the sequence of codes in an option matches the letters of the word in order, using only valid codes found in the matrices.
- Variations: Some variations might use letters as row/column labels, or require decoding a numerical sequence back into a word.
Practicing with different matrix structures and coding rules helps improve speed and accuracy in solving these questions, which are common in various 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 ‘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 ‘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
