Decoding the Coding Pattern: NAME

This question involves a coding and decoding problem. We need to find the pattern used to transform words like 'NOSE' and 'NOTE' into their coded forms ('EPTN' and 'EPUN') and then apply that same pattern to the word 'NAME'.

Analysis of the Code Pattern

Let's break down the given examples to understand the coding logic:

• Example 1: NOSE $\rightarrow$ EPTN
• Example 2: NOTE $\rightarrow$ EPUN

We can analyze the transformation letter by letter for each position.

Mapping Observations:

First Letter Mapping:

• In both examples, the first letter 'N' is coded as 'E'.
• Observation: Based on these examples, it appears the first letter 'N' is consistently coded as 'E'.

Second Letter Mapping:

• In NOSE, 'O' becomes 'P'.
• In NOTE, 'O' becomes 'P'.
• Observation: The letter 'O' is the 15th letter of the alphabet. 'P' is the 16th letter. The transformation is $+1$ (O $\rightarrow$ O+1 = P).

Third Letter Mapping:

• In NOSE, 'S' becomes 'T'.
• In NOTE, 'T' becomes 'U'.
• Observation: 'S' is the 19th letter, and 'T' is the 20th. The transformation is $+1$ (S $\rightarrow$ S+1 = T). 'T' is the 20th letter, and 'U' is the 21st. The transformation is $+1$ (T $\rightarrow$ T+1 = U). This position consistently follows a $+1$ shift rule.

Fourth Letter Mapping:

• In NOSE, 'E' becomes 'N'.
• In NOTE, 'E' becomes 'N'.
• Observation: 'E' is the 5th letter, and 'N' is the 14th letter. The transformation is $+9$ (E $\rightarrow$ E+9 = N). This position consistently maps 'E' to 'N'.

Summary of Rules:

Based on the analysis, the coding rules seem to be:

1. 1st Letter: 'N' codes to 'E'.
2. 2nd Letter: Apply $+1$ shift.
3. 3rd Letter: Apply $+1$ shift.
4. 4th Letter: 'E' codes to 'N'.

Applying the Code to NAME

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

Combining the coded letters:

• 1st letter: E
• 2nd letter: B
• 3rd letter: N
• 4th letter: N

Therefore, 'NAME' will be written as 'EBNN' in this code language.