Understanding Coding Decoding Logic

This question asks us to decode a word based on a specific pattern observed in two examples. We are given that 'BARBIE' is coded as '222' and 'ELSA' is coded as '148'. We need to find the code for 'ARIEL' using the same logic.

Analyzing the Given Examples

Let's look at the two examples provided to find the rule governing the coding:

Example 1: BARBIE

• The word is BARBIE.
• Let's assign numerical values to each letter based on its position in the English alphabet (A=1, B=2, C=3, ..., Z=26).
• B = 2
• A = 1
• R = 18
• B = 2
• I = 9
• E = 5
• Let's find the sum of these values:
  \(2 + 1 + 18 + 2 + 9 + 5 = 37\)
• The code given for BARBIE is 222. How can 37 become 222?
• Let's consider the number of letters in BARBIE, which is 6.
• Is there a relationship between the sum (37), the number of letters (6), and the code (222)?
• Let's try multiplying the sum by the number of letters:
  \(37 \times 6 = 222\)
• This matches the code given for BARBIE. This looks promising.

Example 2: ELSA

• The word is ELSA.
• Let's assign numerical values based on alphabet position (A=1, B=2, ...).
• E = 5
• L = 12
• S = 19
• A = 1
• Let's find the sum of these values:
  \(5 + 12 + 19 + 1 = 37\)
• The code given for ELSA is 148.
• Let's consider the number of letters in ELSA, which is 4.
• Using the potential rule found in the BARBIE example, let's multiply the sum (37) by the number of letters (4):
  \(37 \times 4 = 148\)
• This also matches the code given for ELSA.

Identifying the Coding Rule

Based on the analysis of 'BARBIE' and 'ELSA', the coding rule appears to be:

The code for a word is the product of the sum of the positional values of its letters and the total number of letters in the word.

Applying the Rule to ARIEL

Now let's apply this rule to find the code for 'ARIEL'.

• The word is ARIEL.
• Assign numerical values based on alphabet position (A=1, B=2, ...).
• A = 1
• R = 18
• I = 9
• E = 5
• L = 12
• Find the sum of these values:
  \(1 + 18 + 9 + 5 + 12 = 45\)
• Find the number of letters in ARIEL, which is 5.
• Calculate the code by multiplying the sum (45) by the number of letters (5):
  \(45 \times 5 = 225\)

Therefore, 'ARIEL' will be written as '225' in this code language.

Comparing with Options

Let's check the given options:

1. 325
2. 225
3. 420
4. 125

Our calculated code for ARIEL is 225, which matches Option 2.

Revision Table: Letter Coding Analysis

Additional Information: Types of Coding-Decoding

Coding-Decoding is a common type of question in reasoning tests. It involves finding the rule by which letters, numbers, or words are coded and then decoding another word or number based on that rule. Common types include:

• Letter Coding: Letters are replaced by other letters based on a specific pattern (e.g., shifting positions in the alphabet, reversing alphabet positions).
• Number Coding: Words are coded into numbers based on patterns like positional values, sum of values, number of letters, vowel/consonant counts, etc. This question falls under this category.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: Words, numbers, and symbols are used in the code.

Solving these problems requires careful observation, pattern recognition, and systematic analysis of the given examples.