Direction: Study the two matrices given below. In each question identify the correct number combination for the given word. 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 resented 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 a 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, ‘F’ can be represented by 31, 43 etc., and ‘N’ can be represented by 02, 21 etc. MATRIX I 0 1 2 3 4 0 F A N O I 1 1 O F A N 2 A N O I F 3 O F I N A 4 N I A F O MATRIX II 5 6 7 8 9 5 S E H B T 6 H S E T B 7 B T S E H 8 E H T B S 9 T S E H B
FINE
00, 04, 02, 56
Understanding Matrix Coding and Decoding
This question asks us to decode the word 'FINE' using two matrices provided. Each letter is represented by a pair of numbers. The first number in the pair represents the row number, and the second number represents the column number from the given matrices.
Analyzing the Matrices
We have two matrices:
Matrix I: Rows and columns are numbered from 0 to 4.
| 0 | 1 | 2 | 3 | 4 | |
|---|---|---|---|---|---|
| 0 | F | A | N | O | I |
| 1 | O | F | A | N | I |
| 2 | A | N | O | I | F |
| 3 | O | F | I | N | A |
| 4 | N | I | A | F | O |
Matrix II: Rows and columns are numbered from 5 to 9.
| 5 | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|
| 5 | S | E | H | B | T |
| 6 | H | S | E | T | B |
| 7 | B | T | S | E | H |
| 8 | E | H | T | B | S |
| 9 | T | S | E | H | B |
The rule is to find the row number first, then the column number for each letter of the word 'FINE'.
Decoding the Word 'FINE'
We need to find the numerical representation for each letter in the word 'FINE': F, I, N, E.
Checking the Options
Let's examine each given option to see which one correctly represents 'FINE'.
Option 1: 31, 32, 33, 82
- 31: Matrix I, Row 3, Column 1 is F. (Correct for F)
- 32: Matrix I, Row 3, Column 2 is I. (Correct for I)
- 33: Matrix I, Row 3, Column 3 is N. (Correct for N)
- 82: Matrix II, Row 8, Column 2 is T. (Incorrect for E)
Option 1 is incorrect.
Option 2: 24, 19, 24, 78
- 24: Matrix I, Row 2, Column 4 is F. (Correct for F)
- 19: Matrix I uses columns 0-4, Matrix II uses columns 5-9. 19 is not a valid representation using the given rules (row 1, column 9 would be in Matrix II, not Matrix I).
Option 2 is incorrect because 19 is not a valid representation.
Option 3: 12, 10, 13, 67
- 12: Matrix I, Row 1, Column 2 is A. (Incorrect for F)
Option 3 is incorrect.
Option 4: 00, 04, 02, 56
- 00: Matrix I, Row 0, Column 0 is F. (Correct for F)
- 04: Matrix I, Row 0, Column 4 is I. (Correct for I)
- 02: Matrix I, Row 0, Column 2 is N. (Correct for N)
- 56: Matrix II, Row 5, Column 6 is E. (Correct for E)
Option 4 correctly represents all letters in the word 'FINE'.
Conclusion
Based on the matrix coding rules and verification of each option, the number combination that correctly represents the word 'FINE' is 00, 04, 02, 56.
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
