Decoding the Pattern: VISHWANATHAN to NAAWTHHSANIV

This question is about identifying a pattern in how letters are rearranged (coded) from one word to another. We are given an example: 'VISHWANATHAN' is coded as 'NAAWTHHSANIV'. Our task is to find the same pattern and apply it to code the word 'KARUNAKARANA'.

Analyzing the Letter Rearrangement

First, let's compare the original word and the coded word:

• Original Word: VISHWANATHAN
• Coded Word: NAAWTHHSANIV
• Both words contain 12 letters. This suggests a rearrangement of the existing letters rather than adding or removing letters.

To figure out the rearrangement rule, we can track the position of each letter.

Positional Mapping Analysis

Let's number the positions of the letters in the original word 'VISHWANATHAN':

V₁ I₂ S₃ H₄ W₅ A₆ N₇ A₈ T₉ H₁₀ A₁₁ N₁₂

Now, let's see where each of these letters (identified by their original position) ends up in the coded word 'NAAWTHHSANIV':

The table reveals the exact positional shift: The letter that was originally in position $1^{st}$ moves to the $12^{th}$ position, the $2^{nd}$ moves to the $11^{th}$, the $7^{th}$ moves to the $1^{st}$, and so on. We have established a clear mapping rule: Original Position $\rightarrow$ New Position.

Applying the Pattern to KARUNAKARANA

Let's use this confirmed mapping rule on the word 'KARUNAKARANA'. First, number its letters:

Original Word: K₁ A₂ R₃ U₄ N₅ A₆ K₇ A₈ R₉ A₁₀ N₁₁ A₁₂

Now, we construct the new word by placing the letters according to the mapping rule derived from the example:

• The $1^{st}$ position of the new word gets the letter from the $7^{th}$ position of the original word (K).
• The $2^{nd}$ position gets the letter from the $8^{th}$ position (A).
• The $3^{rd}$ position gets the letter from the $6^{th}$ position (A).
• The $4^{th}$ position gets the letter from the $5^{th}$ position (N).
• The $5^{th}$ position gets the letter from the $9^{th}$ position (R).
• The $6^{th}$ position gets the letter from the $10^{th}$ position (A).
• The $7^{th}$ position gets the letter from the $4^{th}$ position (U).
• The $8^{th}$ position gets the letter from the $3^{rd}$ position (R).
• The $9^{th}$ position gets the letter from the $11^{th}$ position (N).
• The $10^{th}$ position gets the letter from the $12^{th}$ position (A).
• The $11^{th}$ position gets the letter from the $2^{nd}$ position (A).
• The $12^{th}$ position gets the letter from the $1^{st}$ position (K).

Putting these letters together in order results in the coded word: KAANRAURNAAK.

Result

The word 'KARUNAKARANA' is written as 'KAANRAURNAAK' following the specific letter rearrangement pattern.

This matches Option 1.