Understanding the Coding Language Problem

This question involves a coding language where words are represented by numbers. We are given two examples of words and their corresponding numerical codes. Our goal is to identify the pattern or rule used for coding and then apply it to find the code for the word 'GASEOUS'.

Analyzing the Given Codes

We have the following coded pairs:

• SOUR is written as 8942
• REGAL is written as 25671

Let's try to establish a mapping between the letters and the digits based on these examples. We can align the letters of the word with the digits of its code:

Consolidating the Letter-to-Digit Mapping

Let's combine the mappings derived from both words. We see that the letter 'R' is present in both SOUR and REGAL, and it consistently maps to the digit '2'. This confirms that the coding is likely a direct letter-to-digit substitution.

Based on the analysis, the mappings are:

• S → 8
• O → 9
• U → 4
• R → 2
• E → 5
• G → 6
• A → 7
• L → 1

Finding the Code for GASEOUS

Now we need to find the code for the word GASEOUS using the established letter-to-digit mapping. Let's break down the word GASEOUS letter by letter and find the corresponding digit for each:

• G maps to 6
• A maps to 7
• S maps to 8
• E maps to 5
• O maps to 9
• U maps to 4
• S maps to 8

Combining these digits in the order they appear in GASEOUS (G-A-S-E-O-U-S), we get the code: 6785948.

Comparing with the Options

Let's compare our derived code (6785948) with the given options:

1. 6784938
2. 6785948
3. 5786918
4. 6795949

Our calculated code, 6785948, exactly matches Option 2.

Step-by-Step Decoding Process

1. Examine the given coded words and their numerical representations (SOUR=8942, REGAL=25671).
2. Establish a possible mapping between letters and digits by aligning the words and codes.
3. Verify consistency in mapping for letters appearing in multiple words (e.g., 'R' maps to '2' in both SOUR and REGAL).
4. Consolidate the complete letter-to-digit mapping based on the given examples.
5. Take the target word (GASEOUS).
6. Substitute each letter in GASEOUS with its corresponding digit from the mapping.
7. Combine the digits to form the final numerical code for GASEOUS.
8. Compare the derived code with the provided options to find the correct answer.

Revision Table: Coding Language Mapping

Additional Information: Types of Coding-Decoding Problems

Coding-Decoding is a common topic in logical reasoning. Problems often involve finding a pattern or rule based on given examples and applying it to a new word or message. Some common types include:

• Letter Coding: Letters are replaced by other letters based on a specific rule (e.g., shifting positions in the alphabet, reversing order).
• Number Coding: Words are coded into numbers, often through letter-to-digit mapping, assigning numerical values based on alphabetical position, or other arithmetic operations. This problem is an example of simple letter-to-digit number coding.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: A combination of numbers, letters, and symbols is used to code words or messages.
• Sentence Coding: Entire sentences are coded, requiring analysis of multiple words and their codes to deduce the pattern.

Solving these problems requires careful observation, pattern identification, and systematic application of the derived rule.