Understanding the Code Language Puzzle

This question asks us to decipher a specific code language where words are represented by sequences of numbers. We are given two examples of words and their corresponding numerical codes: 'CBVQ' is coded as '652520', and 'FRJT' is coded as '9211323'. Our goal is to find the underlying rule of this code language and then apply it to find the numerical code for the word 'EHLP'.

Analyzing the Given Examples: CBVQ and FRJT

Let's look at the letters in the given words and their positions in the standard English alphabet (A=1, B=2, C=3, ..., Z=26).

• For 'CBVQ': C is the 3rd letter, B is the 2nd, V is the 22nd, and Q is the 17th.
• For 'FRJT': F is the 6th letter, R is the 18th, J is the 10th, and T is the 20th.

Now let's compare these positions with the given numerical codes:

• 'CBVQ' (Positions: 3, 2, 22, 17) → '652520'
• 'FRJT' (Positions: 6, 18, 10, 20) → '9211323'

The numerical codes seem to be concatenations of numbers derived from each letter. Let's try to find a pattern by looking at the transformation for each letter individually based on its alphabetical position:

Identifying the Coding Rule

Let's examine the relationship between the alphabetical position and the coded number for each letter:

• C: \( 3 \rightarrow 6 \) (\( 3 + 3 = 6 \))
• B: \( 2 \rightarrow 5 \) (\( 2 + 3 = 5 \))
• V: \( 22 \rightarrow 25 \) (\( 22 + 3 = 25 \))
• Q: \( 17 \rightarrow 20 \) (\( 17 + 3 = 20 \))

From the first example, it appears the rule might be to add 3 to the alphabetical position of each letter.

Let's verify this rule with the second example, 'FRJT':

• F: \( 6 \rightarrow 9 \) (\( 6 + 3 = 9 \)) - Matches!
• R: \( 18 \rightarrow 21 \) (\( 18 + 3 = 21 \)) - Matches!
• J: \( 10 \rightarrow 13 \) (\( 10 + 3 = 13 \)) - Matches!
• T: \( 20 \rightarrow 23 \) (\( 20 + 3 = 23 \)) - Matches!

The rule is consistent: For each letter, add 3 to its alphabetical position. The final code is formed by concatenating the resulting numbers.

Applying the Rule to EHLP

Now we apply the established rule to the word 'EHLP'. First, find the alphabetical position of each letter:

• E is the 5th letter.
• H is the 8th letter.
• L is the 12th letter.
• P is the 16th letter.

Next, apply the rule: add 3 to each position:

• E: \( 5 + 3 = 8 \)
• H: \( 8 + 3 = 11 \)
• L: \( 12 + 3 = 15 \)
• P: \( 16 + 3 = 19 \)

Finally, concatenate these resulting numbers to get the code for 'EHLP':

\( 8 \rightarrow 11 \rightarrow 15 \rightarrow 19 \)

Concatenated code: 8111519

Let's check this result against the given options.

• Option 1: 80121421
• Option 2: 7910520
• Option 3: 8012514
• Option 4: 8111519

Our calculated code, 8111519, matches Option 4.

Final Answer Derivation

By analyzing the coding pattern in the given examples, we found that each letter's alphabetical position is increased by 3, and the resulting numbers are concatenated. Applying this rule to 'EHLP', we derived the code 8111519.

Revision Table: Code Language Rule

Additional Information: Coding Decoding Concepts

Coding-decoding questions are common in logical reasoning sections of various exams. They test your ability to identify patterns and rules within a given set of examples. Common types of coding include:

• Letter Coding: Letters are coded using other letters based on shifting positions, reversing order, or other patterns.
• Number Coding: Words are coded using numbers, often based on alphabetical positions, sum of positions, or other mathematical operations.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: A combination of numbers, letters, and symbols is used.

To solve such questions, it is essential to:

• Write down the given examples clearly.
• Determine the alphabetical positions of letters if number coding is involved.
• Look for patterns: Is there a consistent shift? Is it based on position? Is it a simple arithmetic operation?
• Test the hypothesis (the potential rule) with all given examples.
• Once the rule is confirmed, apply it to the word in question.