Code Language Decoding: Finding the Code for 'L'

This is a classic coding-decoding question where letters are assigned numerical codes. The code for a word is formed by combining the codes of its individual letters. The key is to identify the unique code assigned to each letter.

Analyzing the Given Codes

We are given two examples of words and their corresponding codes:

• Word: SLAP, Code: 3160
• Word: PAST, Code: 6071

We need to find the code specifically for the letter 'L'.

Step-by-Step Deduction

Let's list the letters present in each word and the digits present in their respective codes:

• Letters in SLAP: S, L, A, P
• Digits in SLAP code: 3, 1, 6, 0
• Letters in PAST: P, A, S, T
• Digits in PAST code: 6, 0, 7, 1

Now, let's compare these sets to find unique relationships.

Step 1: Identify Letters Unique to One Word

Look for letters that appear in one word but not the other.

• The letter 'L' is present in SLAP but not in PAST.
• The letter 'T' is present in PAST but not in SLAP.
• The letters 'S', 'A', and 'P' are present in both words.

Step 2: Identify Digits Unique to One Code

Look for digits that appear in the code of one word but not the other.

• Digits in SLAP code {3, 1, 6, 0}. Digits in PAST code {6, 0, 7, 1}.
• Which digit is in {3, 1, 6, 0} but not in {6, 0, 7, 1}? Let's check:
• Is 3 in {6, 0, 7, 1}? No.
• Is 1 in {6, 0, 7, 1}? Yes.
• Is 6 in {6, 0, 7, 1}? Yes.
• Is 0 in {6, 0, 7, 1}? Yes.
• The only digit unique to the SLAP code's digit set is 3.

Step 3: Link Unique Letters and Digits

Since 'L' is the letter unique to SLAP (compared to PAST) and '3' is the digit unique to SLAP's code (compared to PAST's code), it logically follows that the code for 'L' is 3.

We can also check this for 'T'.

• Which digit is in {6, 0, 7, 1} but not in {3, 1, 6, 0}? Let's check:
• Is 6 in {3, 1, 6, 0}? Yes.
• Is 0 in {3, 1, 6, 0}? Yes.
• Is 7 in {3, 1, 6, 0}? No.
• Is 1 in {3, 1, 6, 0}? Yes.
• The only digit unique to the PAST code's digit set is 7.

Since 'T' is the letter unique to PAST and '7' is the digit unique to PAST's code, the code for 'T' is 7.

Step 4: Confirm Mapping (Partial)

We have deduced:

• L ↔ 3
• T ↔ 7

The remaining letters S, A, P appear in both words. The remaining digits {1, 6, 0} appear in both codes (excluding 3 and 7). This means {S, A, P} ↔ {1, 6, 0}. While we cannot uniquely determine the codes for S, A, or P with just this information, we have successfully found the code for 'L'.

Code for L

Based on our analysis, the unique letter 'L' in SLAP corresponds to the unique digit '3' in its code set when compared to PAST and its code set.

Therefore, the code for 'L' is 3.

Revision Table: Key Concepts in Coding-Decoding

Additional Information: Solving Logic Reasoning Questions

Coding-decoding problems are a common type of logic and reasoning question found in competitive exams. Success often relies on careful observation and systematic comparison.

• Observe Carefully: Pay close attention to the given words, codes, and the letters/digits involved.
• Look for Patterns: Are the codes based on alphabetical position, reverse alphabetical position, specific rules, or arbitrary assignment?
• Find Common Elements: If multiple examples are given, compare them to find letters or digits that appear in more than one example. This often helps break the code.
• Identify Unique Elements: As demonstrated in this problem, looking for letters/digits unique to a specific example can also be very effective in identifying specific codes.
• Test Your Hypothesis: Once you deduce a mapping for a letter or a rule, check if it holds true for all given examples.

This problem was solved using the 'Common and Unique Element Analysis' technique, focusing on what was present in one set (letters/digits) but not the other.