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
01, 34, 22, 10, 75
Decoding Words Using Matrix Representation
In this question, we are given two matrices, Matrix-I and Matrix-II, which represent letters of the alphabet using a numerical code. The code for a letter is formed by its row number followed by its column number. Matrix-I uses rows and columns numbered from 0 to 4, while Matrix-II uses rows and columns numbered from 5 to 9.
We need to find the set of numbers that correctly represents the word 'SWORD' based on these matrices.
Understanding the Matrices
Let's look at the provided matrices:
| 0 | 1 | 2 | 3 | 4 | |
|---|---|---|---|---|---|
| 0 | S | S | Z | V | R |
| 1 | R | Z | R | R | Z |
| 2 | P | T | O | Y | P |
| 3 | U | P | U | U | W |
| 4 | O | U | X | Z | X |
| 5 | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|
| 5 | J | F | M | I | E |
| 6 | M | M | E | E | M |
| 7 | D | G | B | L | C |
| 8 | E | C | H | H | J |
| 9 | C | H | K | M | K |
As per the rule, a letter is represented by its row number followed by its column number. For instance, 'U' can be 30 (Row 3, Column 0 in Matrix-I) or 32 (Row 3, Column 2) or 33 (Row 3, Column 3) or 41 (Row 4, Column 1). 'E' can be 59 (Row 5, Column 9), 67 (Row 6, Column 7), 68 (Row 6, Column 8), 85 (Row 8, Column 5).
Finding the Code for 'SWORD'
We need to check which given option represents the letters S, W, O, R, and D in sequence. Let's examine the option 01, 34, 22, 10, 75:
- The first number is 01. In Matrix-I, Row 0 and Column 1 corresponds to the letter 'S'. This matches the first letter of 'SWORD'.
- The second number is 34. In Matrix-I, Row 3 and Column 4 corresponds to the letter 'W'. This matches the second letter of 'SWORD'.
- The third number is 22. In Matrix-I, Row 2 and Column 2 corresponds to the letter 'O'. This matches the third letter of 'SWORD'.
- The fourth number is 10. In Matrix-I, Row 1 and Column 0 corresponds to the letter 'R'. This matches the fourth letter of 'SWORD'.
- The fifth number is 75. In Matrix-II, Row 7 and Column 5 corresponds to the letter 'D'. This matches the fifth letter of 'SWORD'.
Since each number in the set 01, 34, 22, 10, 75 correctly represents the corresponding letter in the word 'SWORD' according to the matrices, this set is the correct representation for 'SWORD'.
Verification of the Code Representation
Let's summarize the verification:
- S → 01 (Matrix-I, Row 0, Column 1)
- W → 34 (Matrix-I, Row 3, Column 4)
- O → 22 (Matrix-I, Row 2, Column 2)
- R → 10 (Matrix-I, Row 1, Column 0)
- D → 75 (Matrix-II, Row 7, Column 5)
All the codes match the letters of the word 'SWORD'.
Therefore, the set of numbers 01, 34, 22, 10, 75 represents the word 'SWORD'.
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
NEST
FAITH
FINE
