Solving the Code Language Pattern

The question asks us to decode a pattern used to convert words into numerical strings and then apply this pattern to a new word, 'PLASTIC'. We are given the coded forms for 'AROUND' and 'FIX'.

Analyzing the Given Codes

Let's look at the given examples:

• 'AROUND' is coded as '52182412144'
• 'FIX' is coded as '63624'

We need to find the code for 'PLASTIC'. Let's examine the letters in the words and their corresponding positions in the English alphabet (A=1, B=2, ..., Z=26).

Discovering the Coding Pattern

Let's analyze the letters and their potential coded values by breaking down the given codes into segments, assuming each segment corresponds to a letter in order.

Analysis of 'FIX' (F=6, I=9, X=24):

Code: 63624

• F (Position 6) seems to be coded as 6.
• I (Position 9) seems to be coded as 36.
• X (Position 24) seems to be coded as 24.

This suggests that consonants might be coded by their position number (F=6, X=24), while vowels might have a different rule (I=36).

Analysis of 'AROUND' (A=1, R=18, O=15, U=21, N=14, D=4):

Code: 52182412144

Based on the hypothesis from 'FIX' (consonants = position), let's see if it fits here for R, N, D:

• R (Position 18): If coded as 18, the code could be 52 18 ... 14 4.
• N (Position 14): If coded as 14, the code could be ... 14 4.
• D (Position 4): If coded as 4, the code could be ... 4.

If we segment '52182412144' as 52, 18, 24, 121, 14, 4, it aligns perfectly with the letters A, R, O, U, N, D in order:

• A (Position 1) is coded as 52.
• R (Position 18) is coded as 18.
• O (Position 15) is coded as 24.
• U (Position 21) is coded as 121.
• N (Position 14) is coded as 14.
• D (Position 4) is coded as 4.

Confirming the Pattern

Comparing the codes with letter positions:

The pattern is clear:

• Consonants are coded by their alphabetical position number.
• Vowels (A, I, O, U based on the examples) have specific fixed codes: A=52, I=36, O=24, U=121.

Applying the Pattern to 'PLASTIC'

Now let's apply this pattern to the word 'PLASTIC'.

PLASTIC has the following letters and positions:

P(16), L(12), A(1), S(19), T(20), I(9), C(3)

Let's determine the code for each letter:

• P is a consonant (Position 16) $\rightarrow$ Code is 16
• L is a consonant (Position 12) $\rightarrow$ Code is 12
• A is a vowel (Position 1) $\rightarrow$ Specific code for A is 52
• S is a consonant (Position 19) $\rightarrow$ Code is 19
• T is a consonant (Position 20) $\rightarrow$ Code is 20
• I is a vowel (Position 9) $\rightarrow$ Specific code for I is 36
• C is a consonant (Position 3) $\rightarrow$ Code is 3

Concatenating these codes in order:

16 (for P) + 12 (for L) + 52 (for A) + 19 (for S) + 20 (for T) + 36 (for I) + 3 (for C)

Resulting code: 1612521920363

Comparing with Options

Let's compare the derived code 1612521920363 with the given options:

• Option 1: 1612261920183 (Incorrect)
• Option 2: 1612522021363 (Incorrect)
• Option 3: 1812521920383 (Incorrect)
• Option 4: 1612521920363 (Matches our derived code)

Thus, the code for 'PLASTIC' is 1612521920363.

Revision Table: Code Language Summary

Additional Information: Letter Coding and Reasoning

Code language and coding-decoding questions test your pattern recognition and logical reasoning skills. These types of problems often involve mapping letters to numbers based on various rules.

• Alphabetical Position: A common pattern uses the position of letters in the standard English alphabet (A=1, B=2, ..., Z=26).
• Reverse Alphabetical Position: Sometimes, the reverse order is used (Z=1, Y=2, ..., A=26).
• Vowel/Consonant Specific Rules: As seen in this problem, rules might differ for vowels and consonants.
• Mathematical Operations: The position numbers might be used in simple calculations (e.g., position + 2, position * 3, position squared).
• Fixed Codes: Some patterns assign arbitrary fixed codes to specific letters or groups of letters, which must be memorized or deduced from examples.
• Combination of Rules: Complex codes can combine multiple patterns.

To solve such problems, it is helpful to write down the given examples, the letter positions, and the coded values side-by-side. Look for consistencies or patterns among consonants, vowels, or specific letters. Trying different simple mathematical operations on the position numbers is often a good starting point. Comparing multiple examples helps to confirm the identified pattern.