Solving the Coding-Decoding Puzzle: Finding the Code for 'C'

This question asks us to determine the numerical code assigned to the letter 'C' based on two examples provided in a certain code language. We are given:

• 'KNEW' is coded as '1493'.
• 'NECK' is coded as '8319'.

Analyzing the Given Code Mappings

In coding-decoding problems like this, each letter is often assigned a unique digit or sequence of digits. To crack the code, we look for patterns, especially among letters and digits that appear in more than one coded word.

Let's list the letters in each word and their corresponding coded digits:

Identifying Common Elements

Let's identify the letters that are common to both words 'KNEW' and 'NECK', and the digits that are common to both codes '1493' and '8319'.

• Letters common to 'KNEW' and 'NECK': N, E, K
• Digits common to '1493' and '8319': 1, 3, 9

The letters N, E, and K are present in both words. Their codes must correspond to the digits that are present in both numerical codes. The common digits are 1, 3, and 9. This suggests that the set of letters {N, E, K} maps to the set of digits {1, 3, 9} in some order.

Deducing the Code for Unique Letters

Now, let's look at the letters and digits that are unique to each word/code:

• In 'KNEW' (letters K, N, E, W; codes 1, 4, 9, 3), the letter 'W' is present, but not in 'NECK'. The digit '4' is present in '1493', but not in '8319'. This strongly suggests that 'W' is coded as '4'.
• In 'NECK' (letters N, E, C, K; codes 8, 3, 1, 9), the letter 'C' is present, but not in 'KNEW'. The digit '8' is present in '8319', but not in '1493'. This strongly suggests that 'C' is coded as '8'.

Confirming the Mapping

Based on this deduction, we have:

• C → 8
• W → 4

The remaining letters {N, E, K} must map to the remaining digits {1, 3, 9}. While the specific mapping for N, E, and K isn't uniquely determined by these two examples alone (e.g., N could be 1, E could be 3, K could be 9, or any other permutation), we don't need this information to find the code for 'C'. Our deduction that 'C' is coded as '8' is consistent with the unique elements in the words and codes.

Conclusion: Code for 'C'

Following the analysis of the given code language, the letter 'C' consistently maps to the digit '8'.

Revision Table: Key Points for Coding Decoding

Additional Information on Coding Decoding Techniques

Coding-decoding questions test your ability to identify patterns and rules in how words or letters are transformed into codes. Here are a few common types:

• Letter to Letter Coding: Letters are replaced by other letters based on a pattern (e.g., shifting letters in the alphabet, reversing order).
• Letter to Number Coding: Letters are assigned numerical values (like in this problem), often based on their position in the alphabet or another rule.
• Word to Word Coding: Entire words are coded as other words based on a common rule applied to the letters.
• Mixed Coding: A combination of letter, number, or symbol coding is used.

To solve these problems effectively, look for:

• Position of letters in the alphabet.
• Patterns in vowels and consonants.
• Reversal of letters or groups of letters.
• Direct substitution (like in this problem).