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
97, 34, 12, 13, 01
Understanding Matrix Coding Questions
This question asks us to find the numeric code for the word "TRACE" using two matrices, Matrix I and Matrix II. Each letter in the matrices is represented by a pair of numbers: the row number followed by the column number. Matrix I uses row and column numbers from 0 to 4, while Matrix II uses row and column numbers from 5 to 9.
Analysing the Provided Matrices
Let's look at the two matrices given:
| 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 |
| 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 |
Finding Codes for the Word TRACE
We need to find a sequence of codes from the options that represents the word "TRACE". This means we need a code for T, then R, then A, then C, and finally E.
Let's find some possible codes for each letter by checking the matrices:
- T: In Matrix I, Row 1, Col 4 is T (code 14). In Matrix II, Row 5, Col 9 is T (code 59). In Matrix II, Row 9, Col 7 is T (code 97). Possible codes for T: 14, 59, 97.
- R: In Matrix I, Row 3, Col 4 is R (code 34). In Matrix II, Row 8, Col 8 is R (code 88). Possible codes for R: 34, 88.
- A: In Matrix I, Row 1, Col 2 is A (code 12). In Matrix I, Row 3, Col 2 is A (code 32). In Matrix II, Row 8, Col 5 is A (code 85). Possible codes for A: 12, 32, 85.
- C: In Matrix I, Row 1, Col 3 is C (code 13). In Matrix II, Row 6, Col 8 is C (code 68). Possible codes for C: 13, 68.
- E: In Matrix I, Row 0, Col 1 is E (code 01). In Matrix II, Row 5, Col 6 is E (code 56). In Matrix II, Row 8, Col 6 is E (code 86). Possible codes for E: 01, 56, 86.
Evaluating the Options
Now let's check each given option to see which one provides a valid sequence of codes for "TRACE".
Option 1: 14, 31, 32, 02, 56
- 14: Row 1, Col 4 (Matrix I) = T. (Correct for T)
- 31: Row 3, Col 1 (Matrix I) = F. (Incorrect for R)
Option 1 is incorrect.
Option 2: 65, 67, 86, 97, 98
- 65: Row 6, Col 5 (Matrix II) = Z. (Incorrect for T)
Option 2 is incorrect.
Option 3: 97, 34, 12, 13, 01
- 97: Row 9, Col 7 (Matrix II) = T. (Correct for T)
- 34: Row 3, Col 4 (Matrix I) = R. (Correct for R)
- 12: Row 1, Col 2 (Matrix I) = A. (Correct for A)
- 13: Row 1, Col 3 (Matrix I) = C. (Correct for C)
- 01: Row 0, Col 1 (Matrix I) = E. (Correct for E)
All the codes in Option 3 correspond correctly to the letters in "TRACE" based on the matrices.
Option 4: 14, 88, 89, 68, 23
- 14: Row 1, Col 4 (Matrix I) = T. (Correct for T)
- 88: Row 8, Col 8 (Matrix II) = R. (Correct for R)
- 89: Row 8, Col 9 (Matrix II) = N. (Incorrect for A)
Option 4 is incorrect.
Conclusion for TRACE Code
Based on the matrix coding rules, the set of numbers 97, 34, 12, 13, 01 correctly represents the word "TRACE".
Revision Table: TRACE Matrix Coding
| Letter | Required Code Position | Code in Option 3 | Matrix Lookup (Row, Col) | Resulting Letter | Match? |
|---|---|---|---|---|---|
| T | 1st | 97 | Matrix II (9, 7) | T | Yes |
| R | 2nd | 34 | Matrix I (3, 4) | R | Yes |
| A | 3rd | 12 | Matrix I (1, 2) | A | Yes |
| C | 4th | 13 | Matrix I (1, 3) | C | Yes |
| E | 5th | 01 | Matrix I (0, 1) | E | Yes |
Additional Information on Matrix and Letter Coding
Matrix coding questions are common in logical reasoning sections of competitive exams. They test your ability to read and interpret data presented in a structured format like a matrix. Key aspects to remember include:
- Always identify the range of row and column numbers for each matrix.
- Pay close attention to whether the code is represented as "row-column" or "column-row". The question specifies "first by its row and next by its column".
- A single letter might have multiple possible codes across one or both matrices.
- To solve for a word, you must find a sequence of codes (one for each letter in the word) where each code is a valid representation of the corresponding letter in the word, found in the matrices.
- Systematically checking each option against the matrices is the most reliable way to solve these problems.
These types of coding-decoding problems help improve analytical skills and attention to detail, which are crucial for many 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 ‘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
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
