Understanding the Coding Pattern

The problem provides two examples of words coded into numbers and asks us to decode a third word using the same pattern. Let's analyze the given examples to find the rule.

Analyzing 'SUM' and its Code '212519'

The word is 'SUM'. Let's find the alphabetical position of each letter:

• S is the 19th letter.
• U is the 21st letter.
• M is the 13th letter.

The code is '212519'. This looks like a concatenation of three two-digit or single-digit numbers: 21, 25, and 19.

Let's compare the letter positions with these numbers:

• S (19) → 19
• U (21) → 21
• M (13) → 25

The number '19' matches the position of 'S', and '21' matches 'U'. The number '25' does not match the position of 'M' (13).

Let's try adding a value to the letter positions in the order they appear in the word:

• S (19): 19 + ? = 21
• U (21): 21 + ? = 25
• M (13): 13 + ? = 19

Solving for the added values:

• 19 + 2 = 21
• 21 + 4 = 25
• 13 + 6 = 19

The values added are 2, 4, and 6. This suggests a pattern where the offset increases by 2 for each subsequent letter.

Verifying the Pattern with 'NET' and its Code '16926'

The word is 'NET'. Let's find the alphabetical position of each letter:

• N is the 14th letter.
• E is the 5th letter.
• T is the 20th letter.

The code is '16926'. This looks like a concatenation of 16, 9, and 26.

Let's apply the pattern of adding 2, 4, and 6 to the letter positions:

• N (14): \(14 + 2 = 16\)
• E (5): \(5 + 4 = 9\)
• T (20): \(20 + 6 = 26\)

Concatenating these results (\(16\), \(9\), \(26\)) gives '16926'. This matches the given code for 'NET'. The pattern is confirmed.

Applying the Pattern to 'MOP'

We need to find the code for the word 'MOP'. Let's find the alphabetical position of each letter:

• M is the 13th letter.
• O is the 15th letter.
• P is the 16th letter.

Now, apply the same pattern of adding 2, 4, and 6 to the positions of the letters in order:

• M (13): \(13 + 2 = 15\)
• O (15): \(15 + 4 = 19\)
• P (16): \(16 + 6 = 22\)

Concatenate the results (15, 19, 22) to get the final code.

The code for 'MOP' is 151922.

Final Coded Value for MOP

Following the established coding pattern, the word 'MOP' is coded as 151922.

Revision Table: Coding Logic Summary

Additional Information: Types of Coding-Decoding

Coding-decoding questions test your ability to identify patterns in how words, letters, or numbers are coded. Common types include:

• Letter Coding: Letters are replaced by other letters based on a pattern (e.g., shifting positions in the alphabet).
• Number Coding: Words are coded into numbers. This can be based on letter positions, sum of positions, or other mathematical operations. The pattern seen in this question (position + offset) is a type of number coding.
• Symbol Coding: Letters or words are replaced by symbols.
• Mixed Coding: Words are assigned codes in a sentence, and you need to find the code for a specific word by comparing different sentences.
• Decoding: The reverse process of coding, where you are given the code and need to find the original word or message.

To solve coding-decoding problems, always look for the rule or pattern in the given examples. This often involves checking alphabetical positions, reverse alphabetical positions, adding/subtracting numbers, or rearranging letters.