Understanding Coding and Decoding Patterns

This question involves a common type of logical reasoning problem known as coding and decoding. In these problems, words or letters are transformed according to a specific rule or pattern, and you need to identify the rule to apply it to a new word.

Analyzing the Given Code Example

We are given that the word 'CUSTOMER' is written as 'TSUCREMO' in a specific code language.

• Original Word: CUSTOMER
• Encoded Word: TSUCREMO

Let's look at the letters and their positions in both words:

Comparing the letters at corresponding positions doesn't immediately reveal a simple pattern like a letter shift or substitution.

Identifying the Coding Rule

Let's try splitting the original word 'CUSTOMER' into parts and see how they relate to 'TSUCREMO'. The word has 8 letters. Let's split it into two equal halves:

• First Half: CUST
• Second Half: OMER

Now let's look at the encoded word 'TSUCREMO' and split it similarly:

• First Half: TSUC
• Second Half: REMO

Let's compare the halves:

• CUST vs TSUC
• OMER vs REMO

Observe the first half 'CUST'. If we reverse this half, we get 'TSUC'.

• CUST → Reversed is T S U C

Now observe the second half 'OMER'. If we reverse this half, we get 'REMO'.

• OMER → Reversed is R E M O

When we combine the reversed first half ('TSUC') and the reversed second half ('REMO'), we get 'TSUCREMO', which is exactly the given encoded word.

So, the rule is: Split the word into two equal halves, reverse each half independently, and then join the reversed halves.

Applying the Rule to 'DISCRETE'

Now, we apply this same rule to the word 'DISCRETE'.

• Original Word: DISCRETE

The word 'DISCRETE' also has 8 letters. We split it into two equal halves:

• First Half: DISC
• Second Half: RETE

Next, we reverse each half:

• Reverse the first half (DISC): C S I D
• Reverse the second half (RETE): E T E R

Finally, we join the two reversed halves:

• Reversed First Half: CSID
• Reversed Second Half: ETER
• Combined: CSIDETER

Therefore, 'DISCRETE' will be written as 'CSIDETER' in that language.

Comparing with Options

Let's compare our result 'CSIDETER' with the given options:

1. CJRBSDSF
2. EJTDSFUF
3. CSDIEERT
4. CSIDETER

Our derived encoded word 'CSIDETER' matches Option 4.

Coding and Decoding Revision Table

Additional Information on Coding Patterns

Coding and decoding problems can use various patterns. Besides the split-and-reverse pattern seen here, other common types include:

• Letter Shifting: Each letter is shifted a fixed number of positions forward or backward in the alphabet (e.g., A → C, B → D, etc.).
• Letter Substitution: Each letter is replaced by a specific different letter or symbol, often defined by a table or rule.
• Position Change: Letters within the word change their positions based on a specific sequence or block reversal/swapping.
• Reversal: The entire word is reversed.
• Mathematical Operations: Sometimes, letters are assigned numerical values, and mathematical operations are performed.
• Mixed Patterns: A combination of several rules might be applied.

Solving these problems requires careful observation, breaking down the given example, identifying the consistent rule, and then applying it accurately to the new case.