Decoding the Coding Language Pattern

This question asks us to find the coded value for the word 'CHAPTER' based on the given examples 'PEN' coded as 9 and 'PAPER' coded as 25 in a certain code language. To solve this, we need to identify the pattern or rule used for coding the words.

Analyzing the Given Coding Examples

Let's look closely at the words and their corresponding coded values:

• Word 1: PEN
• Coded Value 1: 9

• Word 2: PAPER
• Coded Value 2: 25

We need to find a relationship between the word 'PEN' and the number 9, and between the word 'PAPER' and the number 25.

Discovering the Coding Pattern

Observe the coded values 9 and 25. These are perfect squares:

• $9 = 3^2$
• $25 = 5^2$

Now, let's examine the words 'PEN' and 'PAPER' to see if any property relates to the base numbers 3 and 5.

• The word 'PEN' has 3 letters. The coded value is 9, which is $3^2$.
• The word 'PAPER' has 5 letters. The coded value is 25, which is $5^2$.

It appears the coding pattern is based on the number of letters in the word. The coded value is the square of the total number of letters in the word.

Applying the Pattern to 'CHAPTER'

Now we will apply the discovered pattern to the word 'CHAPTER' to find its coded value in the same language.

Let's count the number of letters in the word 'CHAPTER'.

C-H-A-P-T-E-R

There are 7 letters in the word 'CHAPTER'.

According to the pattern, the coded value will be the square of the number of letters.

Coded Value = (Number of letters in CHAPTER)$^2$

Coded Value = $7^2$

Calculate the square of 7:

$7^2 = 7 \times 7 = 49$

Therefore, 'CHAPTER' will be coded as 49 in the same language.

Conclusion: Solving the Coding Puzzle

By analyzing the given examples, we identified the pattern where the coded value is the square of the number of letters in the word. Applying this pattern to 'CHAPTER', which has 7 letters, gives us $7^2 = 49$. This matches one of the options provided.

Revision Table: Coding Language Concepts

Additional Information on Coding & Decoding

Coding and decoding questions are common in aptitude and reasoning tests. They assess your ability to identify patterns quickly and apply them consistently. These patterns can be based on various aspects:

• Letter Position: Using the alphabetical position of letters (A=1, B=2, ...).
• Letter Swapping: Rearranging letters within a word or between words.
• Mathematical Operations: Applying addition, subtraction, multiplication, division, or squaring to letter values or counts.
• Symbol Substitution: Replacing letters with symbols.
• Reverse Alphabetical Order: Using Z=1, Y=2, etc.

Solving such problems requires careful observation and systematic analysis of the given examples to deduce the specific rule being used. Practice with different types of coding patterns can significantly improve your speed and accuracy in these questions.