Decoding the Code Language Pattern

The problem presents a coding system where words are represented by numbers. We are given two examples:

• ‘STORM’ is coded as ‘12694’
• ‘TREND’ is coded as ‘29554’

We need to find the code for the word ‘WATER’ using the same logic.

Analyzing the Given Codes

Let's look at the letters in the given words and the corresponding digits in their codes:

By comparing these, we can identify the potential code for some letters:

• T corresponds to 2 (appears in both STORM and TREND)
• R corresponds to 9 (appears in both STORM and TREND)
• S corresponds to 1
• O corresponds to 6
• M corresponds to 4
• E corresponds to 5
• N corresponds to 5
• D corresponds to 4

Notice that 'M' and 'D' are both coded as '4', and 'E' and 'N' are both coded as '5'. This suggests the code might not be a simple one-to-one mapping based solely on the letter's identity.

Identifying the Coding Logic

Let's consider the alphabetical position of each letter (A=1, B=2, ..., Z=26) and see if there's a relationship with the coded digit.

Looking at the table, a clear pattern emerges for most letters:

• If the alphabetical position is a single digit (1-9), the code is the position itself (e.g., E=5 coded as 5, D=4 coded as 4).
• If the alphabetical position is a two-digit number (10-26), the code is the sum of the digits of the position (e.g., T=20 coded as $2+0=2$, O=15 coded as $1+5=6$, R=18 coded as $1+8=9$, M=13 coded as $1+3=4$, N=14 coded as $1+4=5$).

The only exception appears to be the letter S. Its position is 19, and the sum of its digits is $1+9=10$. However, its code is given as 1. This suggests a special rule or mapping for S or when the sum is 10.

Let's assume the primary rule is: The code is the sum of the digits of the alphabetical position, with S(19) being a specific case where its sum (10) maps to 1.

Coding the Word ‘WATER’

Now, let's apply this logic to the word ‘WATER’. We need to find the code for each letter:

• W: Alphabetical position is 23. Sum of digits = $2+3 = 5$. Code for W is 5.
• A: Alphabetical position is 1. Since it's a single digit, the code is 1. Code for A is 1.
• T: Alphabetical position is 20. Sum of digits = $2+0 = 2$. Code for T is 2.
• E: Alphabetical position is 5. Since it's a single digit, the code is 5. Code for E is 5.
• R: Alphabetical position is 18. Sum of digits = $1+8 = 9$. Code for R is 9.

Combining the codes for each letter in ‘WATER’ (W, A, T, E, R) in order, we get:

5 1 2 5 9

Conclusion

Based on the identified pattern, the code for ‘WATER’ is 51259.

Revision Table: Letter to Code Mapping

Additional Information on Coding-Decoding Puzzles

Coding-decoding questions test your ability to identify patterns and rules in a given set of examples and apply them to find a missing code. Common patterns include:

• Direct letter substitution (e.g., A always codes to X)
• Alphabetical position shifts (e.g., A codes to C, B codes to D - a shift of +2)
• Reverse alphabetical order (e.g., A codes to Z, B codes to Y)
• Coding based on vowels and consonants
• Coding based on numerical values (like alphabetical position, sum of digits of position, etc.)
• Coding based on position within the word
• Combination of multiple rules

Solving these puzzles often requires careful observation, comparing the given examples, listing down potential relationships, and testing hypotheses until a consistent rule is found.