Decoding the Coding Pattern: NAME Example

This question involves a simple substitution cipher where words are encoded based on a specific rule. We are given two examples: NOSE is coded as EPTN, and NOTE is coded as EPUN. We need to find the code for NAME using the same logic.

Analyzing the Coding Examples

Let's break down the given examples to identify the pattern:

Example 1: NOSE → EPTN

• N (1st letter) transforms into E (4th letter of the coded word).
• O (2nd letter) transforms into P (2nd letter of the coded word).
• S (3rd letter) transforms into T (3rd letter of the coded word).
• E (4th letter) transforms into N (1st letter of the coded word).

Example 2: NOTE → EPUN

• N (1st letter) transforms into E (4th letter of the coded word).
• O (2nd letter) transforms into P (2nd letter of the coded word).
• T (3rd letter) transforms into U (3rd letter of the coded word).
• E (4th letter) transforms into N (1st letter of the coded word).

Identifying the Coding Rules

By comparing the two examples, we can observe the following consistent transformations:

• The first letter 'N' of the original word seems to be replaced by 'E' in the coded word, appearing at the end.
• The last letter 'E' of the original word seems to be replaced by 'N' in the coded word, appearing at the beginning.
• The middle letters ('O', 'S' in NOSE and 'O', 'T' in NOTE) undergo a transformation. Let's look closely:
  • In NOSE: O → P and S → T. Both are shifts of +1 position in the alphabet (O+1=P, S+1=T).
  • In NOTE: O → P and T → U. Both are shifts of +1 position in the alphabet (O+1=P, T+1=U).
  So, the rule for the middle letters appears to be: shift each middle letter forward by 1 position.

Let's summarize the deduced rules:

1. The first letter of the word maps to 'E' and becomes the last letter of the code.
2. The last letter of the word maps to 'N' and becomes the first letter of the code.
3. All letters between the first and last letters are shifted one position forward in the alphabet (e.g., A→B, B→C, etc.).

Applying the Rules to NAME

Now, let's apply these rules to the word NAME:

• The first letter is 'N'. According to Rule 1, it maps to 'E' and becomes the last letter of the code.
• The last letter is 'E'. According to Rule 2, it maps to 'N' and becomes the first letter of the code.
• The middle letters are 'A' and 'M'. According to Rule 3, we shift each by +1:
  • A + 1 position = B
  • M + 1 position = N

Assembling the coded letters according to their positions:

• First letter: N (from the original last letter E)
• Second letter: B (from A+1)
• Third letter: N (from M+1)
• Fourth letter: E (from the original first letter N)

Putting it together, NAME becomes EBNN.

Conclusion

Based on the identified coding pattern derived from the examples NOSE → EPTN and NOTE → EPUN, the word NAME is coded as EBNN.