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
95, 77, 40, 43, 65
Decoding Words Using Matrix Representation
This question requires us to decode a word using a specific system based on two matrices. Each letter is represented by a pair of numbers indicating its location within one of the matrices. The first number in the pair represents the row number, and the second number represents the column number.
How Matrix Coding Works: Row and Column Representation
We are given two matrices:
- 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 writing its row number followed by its column number. For example, 'Y' can be 00 (Row 0, Column 0 in Matrix-I) or 22 (Row 2, Column 2 in Matrix-I). Similarly, 'U' can be 42 (Row 4, Column 2 in Matrix-I) or 59 (Row 5, Column 9 in Matrix-II).
Analyzing Matrix-I and Matrix-II for Word Coding
Let's look at the provided matrices:
| 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 |
| 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 |
Our goal is to find the set of number pairs that represents the word "PRANK".
Finding Codes for PRANK Letters
We need to find valid codes for each letter in the word PRANK:
- P: Look for 'P' in both matrices. Matrix-II has 'P' at 76 (Row 7, Col 6) and 95 (Row 9, Col 5).
- R: Look for 'R'. Matrix-I has 'R' at 34 (Row 3, Col 4). Matrix-II has 'R' at 77 (Row 7, Col 7).
- A: Look for 'A'. Matrix-I has 'A' at 40 (Row 4, Col 0). Matrix-II has 'A' at 78 (Row 7, Col 8).
- N: Look for 'N'. Matrix-I has 'N' at 12 (Row 1, Col 2), 43 (Row 4, Col 3). Matrix-II has 'N' at 55 (Row 5, Col 5), 88 (Row 8, Col 8).
- K: Look for 'K'. Matrix-I has 'K' at 02 (Row 0, Col 2), 23 (Row 2, Col 3), 44 (Row 4, Col 4). Matrix-II has 'K' at 65 (Row 6, Col 5).
Checking the Given Options for PRANK Code
Now, let's examine each option to see which one provides a valid sequence of codes for P, R, A, N, K in that order.
- Option 1: 58, 86, 40, 12, 34
- 58 → N (Matrix-II) - Does not match P.
- Option 2: 76, 89, 55, 43, 23
- 76 → P (Matrix-II) - Matches P.
- 89 → N (Matrix-II) - Does not match R.
- Option 3: 23, 34, 78, 55, 02
- 23 → K (Matrix-I) - Does not match P.
- Option 4: 95, 77, 40, 43, 65
- 95 → P (Matrix-II) - Matches P.
- 77 → R (Matrix-II) - Matches R.
- 40 → A (Matrix-I) - Matches A.
- 43 → N (Matrix-I) - Matches N.
- 65 → K (Matrix-II) - Matches K.
Verifying the Correct Matrix Code for PRANK
Option 4 provides the sequence 95, 77, 40, 43, 65. Let's verify each pair with the matrices:
- 95: In Matrix-II, Row 9, Column 5 is P. Correct.
- 77: In Matrix-II, Row 7, Column 7 is R. Correct.
- 40: In Matrix-I, Row 4, Column 0 is A. Correct.
- 43: In Matrix-I, Row 4, Column 3 is N. Correct.
- 65: In Matrix-II, Row 6, Column 5 is K. Correct.
All number pairs in Option 4 correctly represent the letters in the word PRANK in the correct sequence.
Revision Table: Matrix Coding Analysis
| Letter | Word Position | Code in Option 4 | Matrix | Row | Column | Resulting Letter |
|---|---|---|---|---|---|---|
| P | 1st | 95 | Matrix-II | 9 | 5 | P |
| R | 2nd | 77 | Matrix-II | 7 | 7 | R |
| A | 3rd | 40 | Matrix-I | 4 | 0 | A |
| N | 4th | 43 | Matrix-I | 4 | 3 | N |
| K | 5th | 65 | Matrix-II | 6 | 5 | K |
Additional Information on Solving Matrix Coding Puzzles
Matrix coding problems are common in logical reasoning sections of competitive exams. They assess your ability to interpret structured data quickly and accurately. The key is to understand the rule for translating position (row and column) into a letter or vice versa. Always check the row and column numbering for each matrix carefully, as they can start from 0 or 1, and often different matrices use different numbering ranges, as seen in this problem (0-4 and 5-9).
Sometimes, a letter might have multiple possible codes across one or both matrices. When decoding a word, you need to check the options provided, as the correct answer will use one specific valid code for each letter that forms the complete word sequence.
Practice with different matrix structures and coding rules (e.g., column-row instead of row-column) will help you become faster and more accurate in solving these types of questions.
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
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P
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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
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D
G
W
L
R
9
K
B
J
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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
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8
D
G
W
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R
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K
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J
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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
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L
R
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S
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N
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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
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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
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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
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Matrix I
Matrix II
0
1
2
3
4
5
6
7
8
9
0
H
M
X
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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
