Understanding Matrix Coding and Decoding

This question involves decoding a word based on a matrix coding system. We are given two matrices, Matrix-I and Matrix-II, which contain letters. Each letter is represented by a pair of numbers. The first number represents the row number, and the second number represents the column number where the letter is located.

Matrix-I has rows and columns numbered from 0 to 4. Matrix-II has rows and columns numbered from 5 to 9.

Let's look at the matrices provided:

The rule states that a letter's code is formed by its row number followed by its column number. For example, 'B' can be found at row 3, column 4 (code 34) and row 4, column 2 (code 42). 'Z' can be found at row 5, column 7 (code 57) and row 9, column 6 (code 96).

Finding the Code for the Word "FAZE"

We need to find the set of numbers that represents the word "FAZE". This means we need to find a valid code for 'F', followed by a valid code for 'A', followed by a valid code for 'Z', and finally a valid code for 'E'.

Step 1: Identify possible codes for each letter

• F: Look for 'F' in both matrices.
  • Matrix-I: Row 4, Column 1 ($\rightarrow$ 41)
  • Matrix-I: Row 0, Column 3 ($\rightarrow$ 03)
  • Matrix-I: Row 3, Column 0 ($\rightarrow$ 30)
  • Matrix-I: Row 4, Column 4 is J, not F. Mistake in analysis, checking again. F is only at (4,1). Wait, let's check the matrix image again carefully. Oh, the image provided in description is not the actual image, let me use the image URL if any. No image URL. I must use the provided matrices in the description. Matrix-I: R0C0 D, R0C1 H, R0C2 K, R0C3 G, R0C4 E. R1C0 D, R1C1 A, R1C2 C, R1C3 C, R1C4 C. R2C0 J, R2C1 A, R2C2 H, R2C3 H, R2C4 E. R3C0 C, R3C1 K, R3C2 D, R3C3 H, R3C4 B. R4C0 H, R4C1 F, R4C2 B, R4C3 H, R4C4 J. Ok, F is only at (4,1). Let me re-read the example for B and Z. 'B' can be represented by 42, 34 etc., and ‘Z’ can be represented by 57, 96 etc. B is at (3,4) and (4,2). So 34 and 42 are codes for B. Correct. Z is at (5,7) and (9,6). So 57 and 96 are codes for Z. Correct. My list for F, A, Z, E above was based on a potential misreading or previous similar problems. Let's re-derive from the provided matrices.

Let's find all occurrences and codes for each letter in "FAZE":

• F: Matrix-I → Row 4, Col 1 ($\rightarrow$ 41)
• A: Matrix-I → Row 1, Col 1 ($\rightarrow$ 11), Row 2, Col 1 ($\rightarrow$ 21)
• Z: Matrix-II → Row 5, Col 7 ($\rightarrow$ 57), Row 9, Col 6 ($\rightarrow$ 96)
• E: Matrix-I → Row 0, Col 4 ($\rightarrow$ 04), Row 2, Col 4 ($\rightarrow$ 44) - wait, checking matrix I R2C4 again. R2C4 is E, so code 24. R0C4 is E, so code 04. R4C4 is J. Let's check R2C4 again. Yes, R2C4 is E. Matrix-I → Row 0, Col 4 ($\rightarrow$ 04), Row 2, Col 4 ($\rightarrow$ 24)

Possible codes:

• F: {41}
• A: {11, 21}
• Z: {57, 96}
• E: {04, 24}

Step 2: Check the given options

We need to find an option where the first number is a valid code for F, the second for A, the third for Z, and the fourth for E.

• Option 1: 30, 55, 32, 86
  • 30: Is it F? No, F is {41}. 30 is C (Matrix-I). Invalid.
• Option 2: 31, 87, 23, 88
  • 31: Is it F? No, F is {41}. 31 is K (Matrix-I). Invalid.
• Option 3: 33, 67, 14, 85
  • 33: Is it F? No, F is {41}. 33 is D (Matrix-I). Invalid.
• Option 4: 41, 21, 96, 24
  • 41: Is it F? Yes, 41 is a valid code for F.
  • 21: Is it A? Yes, 21 is a valid code for A.
  • 96: Is it Z? Yes, 96 is a valid code for Z.
  • 24: Is it E? Yes, 24 is a valid code for E.

Option 4 provides a valid sequence of codes for the letters F, A, Z, and E in order.

Conclusion

By checking the possible row-column codes for each letter of the word "FAZE" against the given options, we found that only Option 4 consists of codes that are valid representations of the letters in the correct sequence.

Revision Table: Checking Codes

Additional Information on Matrix Coding

Matrix coding questions are common in reasoning tests. They assess your ability to follow rules and decode information presented in a structured format like a matrix. Here are some key points:

• Always note which matrix corresponds to which range of numbers (e.g., 0-4 vs. 5-9).
• Pay close attention to the order of numbers in the code – usually, it's Row then Column.
• A single letter might have multiple codes if it appears more than once in the matrices.
• For a word, the correct option must provide a valid code for each letter in the word, in the correct order.
• Systematically check each option by verifying if each number pair corresponds to the required letter in the word.