Understanding the Coding Decoding Problem

This question is based on the concept of coding and decoding, where a word is coded according to a specific rule or pattern, and we need to decipher the rule to code another word. We are given the word GARNISH and its coded form RGAINHS. Our task is to find the coded form for the word GENIOUS using the same rule.

Analyzing the GARNISH to RGAINHS Code

Let's look closely at how the letters in GARNISH are rearranged to form RGAINHS. Both words have 7 letters. We can compare the positions of the letters.

Original word: GARNISH

Coded word:  RGAINHS

Let's write down the letters with their positions:

Now, let's see where each letter from GARNISH ends up in RGAINHS:

• The first letter 'G' (position 1) is now in position 2.
• The second letter 'A' (position 2) is now in position 3.
• The third letter 'R' (position 3) is now in position 1.
• The fourth letter 'N' (position 4) is now in position 5.
• The fifth letter 'I' (position 5) is now in position 4.
• The sixth letter 'S' (position 6) is now in position 7.
• The seventh letter 'H' (position 7) is now in position 6.

We can observe a pattern by grouping the letters:

• The first three letters (GAR) are rearranged. The 3rd letter (R) comes first, then the 1st letter (G), then the 2nd letter (A). GAR becomes RGA.
• The next two letters (NI) are swapped. N at position 4 and I at position 5 become I at position 4 and N at position 5. NI becomes IN. Oh wait, looking at RGAINHS, N is at position 5 and I is at position 4. So NI becomes IN? No, the coded word has I at pos 4 and N at pos 5. Let's re-check the coded word letters and positions: R(1) G(2) A(3) I(4) N(5) H(6) S(7). Ah, the letters in RGAINHS are R, G, A, I, N, H, S. So the 4th letter is I, 5th is N. The original 4th letter is N, original 5th is I. They are swapped. N (pos 4) and I (pos 5) swapped positions to become I (pos 4) and N (pos 5) in the coded word. Correct.
• The last two letters (SH) are swapped. S at position 6 and H at position 7 become H at position 6 and S at position 7. SH becomes HS. Correct.

So the rule is:

1. The first three letters are rearranged in the order: 3rd, 1st, 2nd.
2. The next two letters (4th and 5th) are swapped.
3. The last two letters (6th and 7th) are swapped.

Applying the Coding Rule to GENIOUS

Now let's apply this same coding rule to the word GENIOUS.

Word: GENIOUS

Letters: G E N I O U S

Positions: 1 2 3 4 5 6 7

Step 1: Apply the rule to the first three letters (G E N).

Letters: G(1) E(2) N(3)

Apply 3rd, 1st, 2nd: N, G, E

Result for first three: NGE

Step 2: Apply the rule to the next two letters (I O).

Letters: I(4) O(5)

Swap 4th and 5th: O, I

Result for next two: OI

Step 3: Apply the rule to the last two letters (U S).

Letters: U(6) S(7)

Swap 6th and 7th: S, U

Result for last two: SU

Combine the results from the steps:

NGE + OI + SU = NGEOISU

Checking the Options

The coded word for GENIOUS according to the rule is NGEOISU. Let's compare this with the given options:

• Option 1: ENGOIUS
• Option 2: NEGIOUS
• Option 3: NGEOISU
• Option 4: GENOISU

Our derived coded word NGEOISU matches Option 3.

Conclusion: The Coded Word for GENIOUS

Based on the consistent pattern observed in coding GARNISH as RGAINHS, applying the same rule to GENIOUS gives us NGEOISU. This involves rearranging the first three letters, swapping the next two, and swapping the last two.

Revision Table: Coding Decoding Rules

Applying to GENIOUS:

Combining the results: NGE + OI + SU = NGEOISU

Additional Information: Coding Decoding Patterns

Coding-decoding questions often appear in various competitive exams and aptitude tests. They test your ability to identify patterns and logical relationships between letters or numbers. Common patterns include:

• Letter Shifting: Letters are shifted a fixed number of positions forward or backward in the alphabet.
• Reverse Ordering: The letters of the word are written in reverse order.
• Position Swapping: Letters at specific positions are swapped, either pairwise or in blocks.
• Grouping and Rearrangement: The word is divided into groups, and letters within each group are rearranged.
• Vowel/Consonant based rules: Rules might apply differently to vowels and consonants.
• Alphabet Position Values: Sometimes, the numerical position of letters in the alphabet (A=1, B=2, etc.) is used in the code.

Practicing various types of coding decoding problems helps in quickly identifying the underlying pattern.