Understanding the Coding Language Pattern

This question asks us to decipher a specific coding language where words are converted into numbers. We are given two examples of coded words: 'TOIR' is coded as '62', and 'HATE' is coded as '34'. Our task is to find the code for the word 'GAYL' using the same coding logic.

Analyzing the Examples: TOIR and HATE

Let's look at the relationship between the letters in the words and the numbers they are coded into. A common method in such coding problems is to use the alphabetical position of each letter (A=1, B=2, C=3, ..., Z=26).

Let's find the positional value for each letter in 'TOIR':

• T is the 20th letter.
• O is the 15th letter.
• I is the 9th letter.
• R is the 18th letter.

Now, let's see if adding these positional values gives us the code '62':

TOIR positional values: 20, 15, 9, 18

Sum: $\text{20} + \text{15} + \text{9} + \text{18} = \text{62}$

This sum matches the code '62' given for 'TOIR'. This suggests that the coding pattern might be the sum of the positional values of the letters in the word.

Let's verify this logic with the second example, 'HATE', which is coded as '34'.

Let's find the positional value for each letter in 'HATE':

• H is the 8th letter.
• A is the 1st letter.
• T is the 20th letter.
• E is the 5th letter.

Now, let's calculate the sum of these positional values:

HATE positional values: 8, 1, 20, 5

Sum: $\text{8} + \text{1} + \text{20} + \text{5} = \text{34}$

This sum matches the code '34' given for 'HATE'. The logic of summing the positional values of the letters appears to be correct for this coding language.

Applying the Logic to GAYL

Now that we have identified the coding rule, we can apply it to the word 'GAYL' to find its code.

First, find the positional value for each letter in 'GAYL':

• G is the 7th letter.
• A is the 1st letter.
• Y is the 25th letter.
• L is the 12th letter.

Next, sum these positional values:

GAYL positional values: 7, 1, 25, 12

Sum: $\text{7} + \text{1} + \text{25} + \text{12} = \text{45}$

Therefore, the code for 'GAYL' in this language is '45'.

Positional Values of Letters

For clarity, here is a table showing the positional values of the letters used in the examples and the target word:

Step-by-Step Solution Summary

Here are the steps taken to solve the coding language problem:

1. Examine the given coded examples ('TOIR' to 62, 'HATE' to 34) to identify the pattern.
2. Determine the positional value (A=1, B=2, ...) for each letter in the example words.
3. Test if summing the positional values matches the given codes. It did for both examples.
4. Apply the identified logic (sum of positional values) to the word 'GAYL'.
5. Calculate the sum of the positional values for G (7), A (1), Y (25), and L (12).
6. The calculated sum, 45, is the coded value for 'GAYL'.

Revision Table: Word Coding and Reasoning

Additional Information: Reasoning Skills

This type of question falls under the category of coding-decoding or verbal reasoning. These questions test your ability to identify patterns and apply a consistent rule. Common patterns involve:

• Positional values of letters (A=1, Z=26).
• Reverse positional values of letters (A=26, Z=1).
• Adding, subtracting, multiplying, or dividing these values.
• Specific patterns like skipping letters or using opposite letters in the alphabet.
• Using values from the question numbers themselves (less common but possible).

Practicing various types of coding-decoding problems helps improve logical thinking and pattern recognition skills, which are essential for many competitive exams.