Understanding the Coding Language Pattern

This problem involves deciphering a specific code language where words are converted into numerical values. We are given two examples of words and their corresponding codes:

• 'DICTIONARY' is coded as '20'.
• 'MOBILITY' is coded as '16'.

Our goal is to find the code for the word 'TERMINATION' using the same logic.

Analyzing the Given Examples

Let's examine the first example: 'DICTIONARY' is coded as '20'.

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

• D - 1
• I - 2
• C - 3
• T - 4
• I - 5
• O - 6
• N - 7
• A - 8
• R - 9
• Y - 10

The word 'DICTIONARY' has 10 letters. The code is 20. We can see that $10 \times 2 = 20$.

Now let's examine the second example: 'MOBILITY' is coded as '16'.

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

• M - 1
• O - 2
• B - 3
• I - 4
• L - 5
• I - 6
• T - 7
• Y - 8

The word 'MOBILITY' has 8 letters. The code is 16. We can see that $8 \times 2 = 16$.

Identifying the Code Pattern

Based on the two examples, it appears the pattern is quite simple:

The code for a word is calculated by multiplying the total number of letters in the word by 2.

Let's verify this pattern with the given data:

The pattern holds true for both examples.

Applying the Pattern to TERMINATION

Now we need to find the code for the word 'TERMINATION' using the identified pattern.

First, let's count the number of letters in 'TERMINATION'.

• T - 1
• E - 2
• R - 3
• M - 4
• I - 5
• N - 6
• A - 7
• T - 8
• I - 9
• O - 10
• N - 11

The word 'TERMINATION' has 11 letters.

Using the pattern (Number of letters $\times$ 2), the code for 'TERMINATION' will be:

Code for TERMINATION $= 11 \times 2 = 22$.

Step-by-Step Solution

1. Count the number of letters in the word 'DICTIONARY'. There are 10 letters.
2. Compare the number of letters (10) with the given code (20). Notice the relationship $10 \times 2 = 20$.
3. Count the number of letters in the word 'MOBILITY'. There are 8 letters.
4. Compare the number of letters (8) with the given code (16). Notice the relationship $8 \times 2 = 16$.
5. Conclude that the coding rule is: Code = Number of letters $\times$ 2.
6. Count the number of letters in the word 'TERMINATION'. There are 11 letters.
7. Apply the coding rule to 'TERMINATION': Code = $11 \times 2$.
8. Calculate the result: $11 \times 2 = 22$.

Therefore, 'TERMINATION' will be coded as '22'.

Conclusion

By analyzing the provided examples of the coding language, we found a consistent pattern. Applying this pattern to the word 'TERMINATION' gives us the corresponding code.

Revision Table: Word Coding Pattern

Additional Information: Logical Coding Problems

Coding and decoding problems are common in logical reasoning sections of various tests. They often involve finding a hidden pattern or rule that relates a word (or group of letters/numbers) to a coded form. The patterns can be based on various attributes, such as:

• Position of letters: Using the alphabetical position (A=1, B=2, etc.).
• Number of letters: As seen in this problem.
• Number of vowels or consonants: Counting specific types of letters.
• Reversing the word/letters: Manipulating the order of letters.
• Mathematical operations: Applying addition, subtraction, multiplication, or division to numerical values derived from letters or counts.
• Substituting letters: Replacing letters with other letters or symbols based on a specific rule.

Solving these problems requires careful observation, comparison of examples, and systematic testing of potential patterns.