Understanding Code Language and Decoding

This question asks us to decode a word based on a specific coding language. We are given two examples of words and their corresponding numerical codes. Our task is to figure out the rule or pattern used for this coding and then apply it to a new word to find its code.

Let's look at the information provided:

• The word 'FILE' is coded as 8357.
• The word 'SINK' is coded as 9364.

We need to find the code for 'NIKE'.

Analyzing the Letter-to-Digit Mapping

We can see that the codes are numerical strings of the same length as the words (4 letters, 4 digits). This suggests that each letter in the word corresponds to a specific digit in the code. Let's try to map each letter to its digit based on the given examples.

Mapping from 'FILE' $\rightarrow$ 8357

• F corresponds to 8
• I corresponds to 3
• L corresponds to 5
• E corresponds to 7

Mapping from 'SINK' $\rightarrow$ 9364

• S corresponds to 9
• I corresponds to 3
• N corresponds to 6
• K corresponds to 4

Confirming the Mapping Consistency

We notice that the letter 'I' appears in both 'FILE' and 'SINK'. In 'FILE', 'I' is the second letter and its code is the second digit, 3. In 'SINK', 'I' is the second letter and its code is the second digit, 3. This consistency confirms that the mapping is likely a simple one-to-one correspondence for each letter appearing in the examples.

Based on the examples, we have the following confirmed mappings for the letters involved:

Coding the Word 'NIKE'

Now we can use the identified mappings to code the word 'NIKE'. We just need to take each letter in 'NIKE' and replace it with its corresponding digit code from the table.

• N corresponds to 6
• I corresponds to 3
• K corresponds to 4
• E corresponds to 7

Putting these digits together in the order they appear in 'NIKE', we get the code: 6347.

Final Code for NIKE

Following the pattern established in the code language, the word 'NIKE' is coded as 6347.

Revision Table: Code Language Mapping

Reviewing the steps for decoding:

Additional Information: Types of Coding in Reasoning

Coding-decoding questions in reasoning often involve different patterns. While this question used direct letter-to-digit substitution, other types can include:

• Letter Coding: Replacing letters with other letters based on alphabetical position shifts (e.g., A $\rightarrow$ C, B $\rightarrow$ D is +2 shift).
• Number/Symbol Coding: Replacing letters with numbers or symbols based on position, or a mixed pattern.
• Mixed Coding: Words are coded as other words or numbers, but the pattern is more complex, often involving rearranging letters or applying arithmetic operations.
• Sentence Coding: Entire sentences are coded, and you need to identify codes for individual words within the sentence, usually by comparing multiple coded sentences.

Practicing different types helps in quickly identifying the pattern in any coding language problem.