Understanding the Coding Pattern

The problem asks us to decipher a specific coding pattern applied to the word "QUANTIZING" to get "TNAUQGNIZI" and then apply the same pattern to the word "EXORCIZING". Let's break down the given example to find the logic.

The word is QUANTIZING.

The coded word is TNAUQGNIZI.

Both words have 10 letters. Let's look at how the letters are arranged.

Analyzing the QUANTIZING to TNAUQGNIZI Transformation

Let's observe the letters and their positions:

• QUANTIZING can be split into two equal halves: QUANT (first 5 letters) and IZING (last 5 letters).
• Similarly, TNAUQGNIZI can be split: TNAUQ (first 5 letters) and GNIZI (last 5 letters).

Now, let's compare the halves:

• The first half of QUANTIZING is QUANT. The first half of the coded word is TNAUQ. This looks like the reverse of QUANT. Let's check: Q-U-A-N-T reversed is T-N-A-U-Q. This matches!
• The second half of QUANTIZING is IZING. The second half of the coded word is GNIZI. This also looks like a reversal. Let's check: I-Z-I-N-G reversed is G-N-I-Z-I. This matches as well!

So, the coding pattern is: Split the word into two equal halves, reverse each half independently, and then join the reversed halves to form the coded word.

Applying the Pattern to EXORCIZING

Now we apply the same pattern to the word EXORCIZING.

The word is EXORCIZING.

It has 10 letters, so we split it into two equal halves of 5 letters each.

• First half: EXORC
• Second half: IZING

Next, we reverse each half:

• Reverse the first half (EXORC): C-R-O-X-E gives CROXE.
• Reverse the second half (IZING): I-Z-I-N-G gives GNIZI.

Finally, we combine the reversed halves:

CROXE + GNIZI = CROXEGNIZI.

Comparing with Options

Let's compare our result, CROXEGNIZI, with the given options:

• Option 1: CROXEGNIIZI
• Option 2: CROXEGNIZI
• Option 3: CROXGENIZI
• Option 4: CROXEGNIZII

Our derived coded word CROXEGNIZI matches Option 2.

Therefore, following the discovered coding pattern, EXORCIZING is coded as CROXEGNIZI.

Revision Table: Key Concepts

Additional Information: Types of Letter Coding

Coding and decoding questions often appear in reasoning sections of exams. Different types of patterns can be used. Understanding common types helps in quickly identifying the pattern.

• Alphabet Shift: Each letter is shifted a fixed number of positions forward or backward in the alphabet (e.g., A becomes B, B becomes C, or A becomes Z, B becomes Y).
• Reverse Alphabetical Order: The alphabet sequence is reversed (A=Z, B=Y, etc.).
• Jumbling/Rearrangement: The letters within the word are rearranged according to a specific rule (like the pattern in this question - splitting and reversing).
• Direct Letter Coding: Each letter in the original word is directly assigned a specific letter or symbol, consistent across the given examples.
• Number/Symbol Coding: Letters are represented by numbers or symbols.
• Coding based on Word Length/Position: Patterns might involve the position of letters or the total length of the word.

Solving more problems helps you become familiar with these various coding techniques.