Coding MASTER: Decoding SEAT & STORM Patterns

This question involves a simple substitution cipher where letters are assigned numerical codes based on the examples provided. We need to determine the code for the word 'MASTER' by first figuring out the numerical code assigned to each letter based on the codes given for 'SEAT' and 'STORM'.

Establishing Letter-to-Number Mapping

Let's analyze the given codes:

• SEAT is coded as 4321. This implies:
  • S = 4
  • E = 3
  • A = 2
  • T = 1
• STORM is coded as 41675. This implies:
  • S = 4
  • T = 1
  • O = 6
  • R = 7
  • M = 5

We can see that the codes for 'S' (4) and 'T' (1) are consistent in both examples, confirming a direct substitution pattern.

Coding the Word MASTER

Now, we apply the established letter-to-number mappings to the word 'MASTER':

• M: From STORM, the code for M is 5.
• A: From SEAT, the code for A is 2.
• S: From both SEAT and STORM, the code for S is 4.
• T: From both SEAT and STORM, the code for T is 1.
• E: From SEAT, the code for E is 3.
• R: From STORM, the code for R is 7.

Combining these codes in order, we get the code for 'MASTER' as 524137.

Identifying the Correct Option

Comparing our result with the given options:

1. 534137
2. 54327
3. 57654
4. 524137
5. (No code provided)

The derived code 524137 matches option 4.