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 42, 23 etc and 'W' can be represented by 96, 58, etc. Similarly, you have to identify the set for the word 'DUST'.
Matrix I
0
1
2
3
4
0
D
G
E
L
D
1
E
F
K
A
F
2
E
B
F
I
E
3
F
D
E
F
I
4
M
I
E
G
A
Matrix II
5
6
7
8
9
5
T
T
X
V
U
6
O
X
S
X
W
7
X
Q
V
O
R
8
W
P
T
X
R
9
Q
S
V
X
Q
- A20, 76, 11, 65
- B43, 59, 23, 77
- C13, 95, 69, 78
- D13, 65, 30, 76
Solution & Step-by-step Explanation
Let's check the coordinates for the word DUST from the choices:
Let's test Option C: 13, 95, 69, 78
13: Row 1, Column 3 → D (Correct)
95: Row 9, Column 5 → U (Correct)
69: Row 6, Column 9 → S (Correct)
78: Row 7, Column 8 → T (Correct)
Let's verify why others are incorrect:
Option A: 20 is 'E', not 'D'.
Option B: 43 is 'I', not 'D'.
Option D: 65 is 'T', not 'U'.
Hence, the correct set is given in Option C.
Let's test Option C: 13, 95, 69, 78
13: Row 1, Column 3 → D (Correct)
95: Row 9, Column 5 → U (Correct)
69: Row 6, Column 9 → S (Correct)
78: Row 7, Column 8 → T (Correct)
Let's verify why others are incorrect:
Option A: 20 is 'E', not 'D'.
Option B: 43 is 'I', not 'D'.
Option D: 65 is 'T', not 'U'.
Hence, the correct set is given in Option C.