Understanding the Word Coding Problem

The problem asks us to decode a word, COMPLEXITY, based on the coding pattern observed in the transformation of UNGIMMICKY to MIGNUYKCIM. We need to carefully analyze the relationship between the original word and its coded form to find the rule.

Analyzing the Example: UNGIMMICKY to MIGNUYKCIM

Let's look at the word UNGIMMICKY and its coded form MIGNUYKCIM:

Original Word: U N G I M M I C K Y

Coded Word:        M I G N U Y K C I M

Both words have 10 letters. Let's try splitting the original word into two halves of 5 letters each:

• First half: UNGIM
• Second half: MICKY

Now let's look at the coded word MIGNUYKCIM and split it into two halves:

• First part: MIGNU
• Second part: YKCIM

Comparing the first half of the original word (UNGIM) with the first part of the coded word (MIGNU), we can see that MIGNU is the reverse of UNGIM.

U N G I M <-- Reversing the order --> M I G N U

Let's check if the same rule applies to the second half. Compare the second half of the original word (MICKY) with the second part of the coded word (YKCIM).

M I C K Y <-- Reversing the order --> Y K C I M

Indeed, YKCIM is the reverse of MICKY.

So, the rule observed from the example UNGIMMICKY to MIGNUYKCIM is:

1. Split the word into two equal halves.
2. Reverse the first half.
3. Reverse the second half.
4. Join the two reversed halves to get the coded word.

Applying the Rule to COMPLEXITY

Now, let's apply this rule to the word COMPLEXITY. COMPLEXITY has 10 letters, so we split it into two halves of 5 letters each:

• First half: COMPL
• Second half: EXITY

Step 2: Reverse the first half.

C O M P L <-- Reversing the order --> L P M O C

Step 3: Reverse the second half.

E X I T Y <-- Reversing the order --> Y X I T E

Step 4: Join the two reversed halves.

Joining LPMOC and YXITE gives us LPMOCYXITE.

Comparing with the Options

The coded word for COMPLEXITY, based on the rule derived from the UNGIMMICKY example, should be LPMOCYXITE. Let's look at the given options:

1. LPOMCYTIXE
2. LPMOOCYTIXE
3. LPMOYCTIXE
4. LPMOCYTIXE

None of the options exactly match LPMOCYXITE. However, option 4 (LPMOCYTIXE) is very similar to our derived answer. Let's compare LPMOCYXITE and LPMOCYTIXE:

Derived: LPMOC YXITE

Option 4: LPMOC YTIXE

The first half (LPMOC) is identical. The second half differs (YXITE vs YTIXE). Let's analyze the transformation from EXITY to YTIXE, which results in Option 4:

Original second half: E X I T Y

Coded second half (Option 4): Y T I X E

While the example UNGIMMICKY suggests a simple reversal for the second half (MICKY → YKCIM), the transformation from EXITY to get YTIXE in Option 4 involves reversing EXITY (which gives YXITE) and then swapping the letters at the 2nd and 4th positions within this reversed sequence (YXITE → YTIXE). This specific swap rule is not apparent from the UNGIMMICKY example alone.

However, since Option 4 is provided, it indicates that the intended rule for the second half, at least for the word COMPLEXITY, leads to YTIXE. The first half transformation (reversal) is consistent with the example.

Thus, the coded word for COMPLEXITY, matching option 4, is formed by reversing the first half (COMPL → LPMOC) and applying a transformation to the second half (EXITY → YTIXE) that results in LPMOCYTIXE.

Final Coded Word

Based on the first half reversal and matching the provided options, the coded word for COMPLEXITY is LPMOCYTIXE.

This matches Option 4.

Revision Table - Word Coding Patterns

Additional Information - Logic Reasoning in Coding

Coding and decoding questions often appear in reasoning sections of exams. They test your ability to identify patterns and apply logical rules. Common patterns include letter shifting (like in Caesar cipher), letter reversal, word splitting and rearrangement, skipping letters, or substituting letters based on a code chart.

When tackling such problems:

• Compare the original word and the coded word letter by letter, noting positions.
• Look for simple transformations first: reversal, simple shift, or splitting into obvious parts.
• If the rule isn't immediately obvious, look for patterns in groups of letters or specific positions (like first, last, middle).
• Always test the potential rule thoroughly using the given example before applying it to the target word.
• Be prepared for rules that combine multiple steps, like splitting and then reversing each part.

These questions require careful observation and systematic analysis to uncover the hidden logic.