Understanding the Coding Decoding Pattern

This question involves coding and decoding words based on a specific pattern. We are given two examples of words encoded into other words:

• GARDEN is coded as FYOEGQ
• GOLDEN is coded as FMIEGQ

Our task is to find the code for 'ISLAND' using the same pattern.

Analyzing the Pattern in GARDEN → FYOEGQ

Let's look at the letter-by-letter transformation and the shift in alphabetical position. We can represent the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).

• G (7) → F (6): This is a shift of -1 (7 - 1 = 6).
• A (1) → Y (25): This is a shift of -2 (1 - 2 = -1, wrapping around from Z, so 26 - 1 = 25).
• R (18) → O (15): This is a shift of -3 (18 - 3 = 15).
• D (4) → E (5): This is a shift of +1 (4 + 1 = 5).
• E (5) → G (7): This is a shift of +2 (5 + 2 = 7).
• N (14) → Q (17): This is a shift of +3 (14 + 3 = 17).

The pattern for GARDEN seems to be: -1, -2, -3, +1, +2, +3 for the first three and last three letters respectively.

Verifying the Pattern with GOLDEN → FMIEGQ

Let's apply the same pattern to GOLDEN and see if we get FMIEGQ.

• G (7) → G - 1 = F (6). Correct.
• O (15) → O - 2 = M (13). Correct.
• L (12) → L - 3 = I (9). Correct.
• D (4) → D + 1 = E (5). Correct.
• E (5) → E + 2 = G (7). Correct.
• N (14) → N + 3 = Q (17). Correct.

The pattern is confirmed: the letters are shifted by -1, -2, -3, +1, +2, +3 based on their position in the word (1st to 6th letter).

Applying the Pattern to ISLAND

Now let's apply the confirmed pattern (-1, -2, -3, +1, +2, +3) to the letters of ISLAND:

• I (9) → I - 1 = H (8)
• S (19) → S - 2 = Q (17)
• L (12) → L - 3 = I (9)
• A (1) → A + 1 = B (2)
• N (14) → N + 2 = P (16)
• D (4) → D + 3 = G (7)

Putting the resulting letters together, we get HQIBPG.

Final Coded Word for ISLAND

Based on the pattern derived from GARDEN and GOLDEN, the word ISLAND is coded as HQIBPG.

Revision Table: Coding Decoding Concepts

Additional Information: Solving Coding Questions

To effectively solve coding-decoding questions in competitive exams, consider these points:

• Identify the Type: Determine if it's letter coding, number coding, symbol coding, or mixed coding.
• Analyze the Pattern: Look for the relationship between the original word and the coded word. Common patterns include letter shifts (like in this problem), reversing the word, substituting letters based on position, using opposite letters (A-Z, B-Y), or a combination of these.
• Check Multiple Examples: If more than one example is given, use them to confirm the pattern. A pattern might look right with one example but fail with another.
• Write Down Alphabets: For letter coding, writing down the alphabet with their positions (A=1...Z=26) or their reverse positions (A=26...Z=1) can be very helpful.
• Apply the Pattern: Once the pattern is confirmed, apply it consistently to the word you need to code or decode.
• Check Options: Compare your result with the given options to ensure accuracy.

Practicing different types of coding-decoding puzzles helps in quickly identifying the underlying pattern.