Understanding Coding Decoding Logic: MOBILE to PRELOH Pattern

This problem requires us to decode a message based on a specific rule used to code other words. We are given two examples of coded words: 'MOBILE' is coded as 'PRELOH', and 'SILENT' is coded as 'VLOHQW'. By analyzing these pairs, we can find the underlying coding logic.

Analyzing the First Example: MOBILE to PRELOH

Let's compare the letters of 'MOBILE' and 'PRELOH' based on their positions in the English alphabet.

From this comparison, it appears that each letter in 'MOBILE' is shifted forward by 3 positions in the alphabet to get the corresponding letter in 'PRELOH'.

Analyzing the Second Example: SILENT to VLOHQW

Let's verify this pattern with the second pair, 'SILENT' and 'VLOHQW'.

The pattern holds true for 'SILENT' as well. Each letter is shifted forward by \(+3\) positions.

Applying the Logic to PAINTING

The discovered logic is a simple Caesar cipher with a shift of \(+3\). To code 'PAINTING', we apply the same rule to each of its letters:

• P (16) \(+3\) → S (19)
• A (1) \(+3\) → D (4)
• I (9) \(+3\) → L (12)
• N (14) \(+3\) → Q (17)
• T (20) \(+3\) → W (23)
• I (9) \(+3\) → L (12)
• N (14) \(+3\) → Q (17)
• G (7) \(+3\) → J (10)

Combining these coded letters, we get 'SDLQWLQJ'.

Matching with Options

Now, let's compare our result 'SDLQWLQJ' with the given options:

1. SDLQVKPI
2. SDLQWLQJ
3. RCKPWLQJ
4. RCKPVKPI

Our coded word 'SDLQWLQJ' matches option 2.

Conclusion

The code used is a letter shift of \(+3\) for each letter. Applying this rule to 'PAINTING' results in 'SDLQWLQJ'.

Coding Decoding Revision Table

Additional Information on Letter Coding Patterns

Coding-decoding questions often involve patterns related to the position of letters in the alphabet. Common patterns include:

• Letter Shifting: Each letter is shifted forward or backward by a fixed number of positions (like the \(+3\) shift in this problem).
• Reverse Alphabetical Order: Letters are mapped to their reverse positions (A→Z, B→Y, etc.).
• Letter Swapping: Letters within the word are swapped based on specific positions (e.g., first with last, second with second last, etc.).
• Consonant/Vowel Specific Rules: Different rules apply to consonants and vowels.
• Combination of Rules: More complex patterns might combine shifting, swapping, or other logic.

To solve such problems, always start by comparing the given words letter by letter and noting changes in position, order, or type (vowel/consonant). Looking at the alphabetical positions is often the key to unlocking the code.