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
11, 75, 00, 55, 10
Understanding Matrix Coding for 'ROHAN'
In matrix coding questions, letters are represented by pairs of numbers based on their position in given matrices. The first number in the pair indicates the row, and the second number indicates the column. We are given two matrices, Matrix I (rows/columns 0-4) and Matrix II (rows/columns 5-9), and we need to find the correct set of numbers that represents the word 'ROHAN'.
Analyzing the Given Matrices
Here are the two matrices provided for encoding and decoding:
| 0 | 1 | 2 | 3 | 4 | |
|---|---|---|---|---|---|
| 0 | H | M | X | W | K |
| 1 | N | R | N | Y | M |
| 2 | K | V | H | P | W |
| 3 | Y | Z | R | M | N |
| 4 | W | V | H | J | P |
| 5 | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|
| 5 | A | D | E | S | B |
| 6 | T | U | O | G | O |
| 7 | O | Q | S | D | A |
| 8 | S | E | U | E | D |
| 9 | Q | B | A | T | O |
Decoding the Word 'ROHAN'
We need to find the numerical codes for each letter in the word 'ROHAN' sequentially.
- R: Look for 'R' in Matrix I or Matrix II.
- In Matrix I, 'R' is found at (row 1, col 1) → 11 and (row 3, col 2) → 32.
- In Matrix II, 'R' is not present.
- Possible codes for 'R': 11, 32.
- O: Look for 'O' in Matrix I or Matrix II.
- In Matrix I, 'O' is not present.
- In Matrix II, 'O' is found at (row 6, col 7) → 67, (row 6, col 9) → 69, (row 7, col 5) → 75, and (row 9, col 9) → 99.
- Possible codes for 'O': 67, 69, 75, 99.
- H: Look for 'H' in Matrix I or Matrix II.
- In Matrix I, 'H' is found at (row 0, col 0) → 00, (row 2, col 2) → 22, and (row 4, col 2) → 42.
Correction: Looking at Matrix I, H is at 00, 21 (Oops, the matrix image shows 2,2 is H but the text description/manual reading gives 2,1 as V and 2,2 as H. Let's re-read carefully: 00=H, 21=V, 22=H, 42=H. So 00, 22, 42 are H). Let's use 00, 22, 42. Let me re-check the option codes. Option 2 has 00. Option 3 has 21. Let me re-read the matrix text closely. Matrix I 0: H M X W K. 1: N R N Y M. 2: K V H P W. 3: Y Z R M N. 4: W V H J P. OK, so H is at 00, 22, 42. Let me re-examine option 3, it has 21 for H. In Matrix I, 21 is V. So Option 3 should be incorrect. My initial check was based on potential validity, let's use the matrix text directly.
- In Matrix I, 'H' is found at (row 0, col 0) → 00, (row 2, col 2) → 22, and (row 4, col 2) → 42.
- In Matrix II, 'H' is not present.
- Possible codes for 'H': 00, 22, 42.
- In Matrix I, 'H' is found at (row 0, col 0) → 00, (row 2, col 2) → 22, and (row 4, col 2) → 42.
- A: Look for 'A' in Matrix I or Matrix II.
- In Matrix I, 'A' is not present.
- In Matrix II, 'A' is found at (row 5, col 5) → 55, (row 7, col 9) → 79, and (row 9, col 7) → 97.
- Possible codes for 'A': 55, 79, 97.
- N: Look for 'N' in Matrix I or Matrix II.
- In Matrix I, 'N' is found at (row 1, col 0) → 10 and (row 3, col 4) → 34.
- In Matrix II, 'N' is not present.
- Possible codes for 'N': 10, 34.
Verifying the Options
Now let's check which option provides a valid sequence of codes for ROHAN using the possible codes we found.
Let's examine the set 11, 75, 00, 55, 10:
- 11: Represents 'R' (from Matrix I, row 1, col 1). This is a valid code for 'R'.
- 75: Represents 'O' (from Matrix II, row 7, col 5). This is a valid code for 'O'.
- 00: Represents 'H' (from Matrix I, row 0, col 0). This is a valid code for 'H'.
- 55: Represents 'A' (from Matrix II, row 5, col 5). This is a valid code for 'A'.
- 10: Represents 'N' (from Matrix I, row 1, col 0). This is a valid code for 'N'.
Since all the codes in the set 11, 75, 00, 55, 10 are valid representations for the letters R, O, H, A, and N respectively, this set correctly codes the word 'ROHAN'.
Why Other Options Might Be Incorrect
- Option 1 (11, 57, 00, 55, 12): The second code, 57, represents 'S' (Matrix II, row 5, col 7), not 'O'.
- Option 3 (32, 75, 21, 55, 10): The third code, 21, represents 'V' (Matrix I, row 2, col 1), not 'H'.
- Option 4 (32, 67, 41, 55, 12): The third code, 41, represents 'V' (Matrix I, row 4, col 1), not 'H'. Also, the last code, 12, represents 'N' (Matrix I, row 1, col 2), not 'N' (expected 10 or 34).
Therefore, the set of numbers 11, 75, 00, 55, 10 is the correct representation for the word 'ROHAN'.
Matrix Coding Revision Table
| Concept | Description |
|---|---|
| Matrix Representation | Letters are arranged in rows and columns within one or more matrices. |
| Code Format | Each letter's code is a pair of numbers, typically (Row Number, Column Number). |
| Multiple Codes | A single letter may appear at different positions in the matrices, hence having multiple possible codes. |
| Decoding Word | To decode a word, find a sequence of codes from the options where each code corresponds to the letter at that position in the word. |
| Encoding Word | To encode a word, find one valid code for each letter and combine them in sequence. |
Additional Information on Matrix Logic
Matrix logic questions test your ability to interpret information presented in a grid format and apply specific rules to decode or encode words. These questions often appear in reasoning sections of competitive exams. The key is to accurately locate the letters based on the row and column numbers provided in the code and compare them against the letters in the target word.
Sometimes, matrices might use different numbering schemes (e.g., starting from 1 instead of 0) or use letters/symbols for rows/columns, so always read the instructions carefully. In this specific problem, we used row and column numbers directly as the code digits.
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 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
FINE
