Understanding the Code Language Pattern

This question involves a common type of coding-decoding problem where letters or words are coded based on a specific rule. To solve this, we need to analyze the given examples to identify the underlying pattern or rule used for coding.

Analyzing the Given Examples: 'O' and 'ADD'

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

• 'O' is coded as '15'.
• 'ADD' is coded as '9'.

Let's consider the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).

Example 1: Coding of 'O'

The letter 'O' is the 15th letter in the English alphabet.

• Position of O = 15

The code for 'O' is given as 15. This directly matches its alphabetical position.

Example 2: Coding of 'ADD'

The word 'ADD' consists of the letters A, D, and D. Let's find the alphabetical position of each letter:

• Position of A = 1
• Position of D = 4
• Position of D = 4

The code for 'ADD' is given as 9. Let's see if there is a relationship between the letter positions and the code 9.

If we sum the positions of the letters in 'ADD':

\( \text{Sum of positions} = \text{Position of A} + \text{Position of D} + \text{Position of D} \)

\( \text{Sum of positions} = 1 + 4 + 4 \)

\( \text{Sum of positions} = 9 \)

This sum matches the given code for 'ADD'.

Decoding the Rule for Letter Coding

Based on the analysis of the examples 'O' and 'ADD', the rule for coding a word in this language appears to be:

Assign each letter its numerical position in the English alphabet (A=1, B=2, ..., Z=26) and then sum the numerical values for all the letters in the word.

Applying the Coding Rule to 'PURE'

Now we need to apply this rule to find the code for the word 'PURE'. The word 'PURE' consists of the letters P, U, R, and E.

Let's find the alphabetical position of each letter:

• Position of P = 16
• Position of U = 21
• Position of R = 18
• Position of E = 5

Calculating the Code for PURE

According to the rule, we need to sum the positions of the letters P, U, R, and E:

\( \text{Code for PURE} = \text{Position of P} + \text{Position of U} + \text{Position of R} + \text{Position of E} \)

\( \text{Code for PURE} = 16 + 21 + 18 + 5 \)

\( \text{Code for PURE} = 37 + 18 + 5 \)

\( \text{Code for PURE} = 55 + 5 \)

\( \text{Code for PURE} = 60 \)

Conclusion: The Code for PURE

The calculated code for the word 'PURE' is 60.

Revision Table: Code Language

Additional Information: Types of Coding

Coding-decoding questions test your ability to identify a pattern and apply it. Common types include:

• Letter Coding: Letters are substituted with other letters based on a pattern (e.g., shifting positions in the alphabet).
• Number Coding: Words are coded into numbers based on letter positions, sum of positions, or other numerical relationships.
• Symbol Coding: Letters or words are represented by symbols.
• Mixed Coding: Words are coded using both letters and numbers or symbols.

Solving these problems requires careful observation and logical reasoning to decode the rule applied.