Decoding the Code Language Puzzle

This question involves decoding a specific code language where words are assigned numerical values. We are given the codes for 'MOUSE' and 'SHEEP' and need to find the code for 'PIG' using the same logic.

Analysing the Given Code Examples

Let's look at the given examples:

• 'MOUSE' is coded as '62'.
• 'SHEEP' is coded as '82'.

We need to find a pattern or rule that converts the letters of the word into the given number.

Exploring Possible Coding Logic

A common approach in letter coding is to use the alphabetical position of each letter (A=1, B=2, ..., Z=26). Let's try this for 'MOUSE' and 'SHEEP'.

Sum of alphabetical positions for MOUSE: \(13 + 15 + 21 + 19 + 5 = 73\)

This sum (73) is not 62. Let's check SHEEP.

Sum of alphabetical positions for SHEEP: \(19 + 8 + 5 + 5 + 16 = 53\)

This sum (53) is not 82. So, simple sum of alphabetical positions is not the rule.

Discovering the Reverse Alphabetical Position Rule

Another common method is to use the reverse alphabetical position (A=26, B=25, ..., Z=1). The reverse position of a letter can be found by using the formula: \(27 - (\text{Standard Alphabetical Position})\).

Let's apply this rule to 'MOUSE':

• M: \(27 - 13 = 14\)
• O: \(27 - 15 = 12\)
• U: \(27 - 21 = 6\)
• S: \(27 - 19 = 8\)
• E: \(27 - 5 = 22\)

Sum of reverse alphabetical positions for MOUSE: \(14 + 12 + 6 + 8 + 22 = 62\)

This matches the given code for MOUSE!

Now, let's verify this rule for 'SHEEP':

• S: \(27 - 19 = 8\)
• H: \(27 - 8 = 19\)
• E: \(27 - 5 = 22\)
• E: \(27 - 5 = 22\)
• P: \(27 - 16 = 11\)

Sum of reverse alphabetical positions for SHEEP: \(8 + 19 + 22 + 22 + 11 = 82\)

This also matches the given code for SHEEP!

Applying the Rule to Find the Code for PIG

The discovered rule is to sum the reverse alphabetical positions of the letters in the word. Let's apply this to 'PIG'.

Sum of reverse alphabetical positions for PIG: \(11 + 18 + 20 = 49\)

Therefore, the code for 'PIG' in this language is 49.

Conclusion

The coding rule is based on summing the reverse alphabetical positions of the letters. Applying this rule to PIG gives the value 49.

Revision Table: Key Concepts in Code Language

Additional Information: Types of Coding Decoding

Coding-decoding questions often appear in competitive exams to test logical reasoning and pattern recognition skills. Besides letter to number coding, other types include:

• Letter Coding: Letters are substituted with other letters based on a pattern (e.g., shifting positions, reversing order).
• Number Coding: Words are coded as numbers (as seen in this problem), or letters are coded as numbers.
• Symbol Coding: Letters or words are represented by symbols.
• Substitution Coding: Words are replaced by other words based on a set pattern.

Identifying the pattern is the key to solving such problems. Common patterns involve alphabetical positions, reverse positions, vowel/consonant grouping, or specific arithmetic operations.