Understanding the Coding Language Pattern

This question involves deciphering a specific coding language used to represent words as numerical sequences. We are given two examples: 'PRINTER' coded as '11181814759' and 'LOGIC' coded as '151520924'. Our goal is to find the underlying rule and apply it to code the word 'TERMITE'.

Analyzing the Given Codes: PRINTER and LOGIC

Let's look at the letters in the given words and their positions in the English alphabet. The standard position is A=1, B=2, ..., Z=26. The reverse position is Z=1, Y=2, ..., A=26.

The code for PRINTER is 11181814759. Let's try to match segments of this code with the positions:

• P: Code starts with 11. Reverse position of P is 11. (Match)
• R: Next segment is 18. Standard position of R is 18. (Match)
• I: Next segment is 18. Reverse position of I is 18. (Match)
• N: Next segment is 14. Standard position of N is 14. (Match)
• T: Next segment is 7. Reverse position of T is 7. (Match)
• E: Next segment is 5. Standard position of E is 5. (Match)
• R: Next segment is 9. Reverse position of R is 9. (Match)

It appears the pattern for PRINTER is alternating between the reverse and standard alphabet positions for each letter.

Let's test this pattern with the second example, LOGIC:

The code for LOGIC is 151520924. Applying the alternating pattern:

• L: 1st letter, use Reverse position (15) → 15
• O: 2nd letter, use Standard position (15) → 15
• G: 3rd letter, use Reverse position (20) → 20
• I: 4th letter, use Standard position (9) → 9
• C: 5th letter, use Reverse position (24) → 24

Concatenating these numbers gives 151520924, which matches the given code for LOGIC.

The Coding Rule

The rule is: The code for a word is formed by taking the reverse alphabet position for the 1st, 3rd, 5th, ... letters, and the standard alphabet position for the 2nd, 4th, 6th, ... letters, and concatenating these numbers in order.

• Odd position letters (1st, 3rd, 5th, ...): Use Reverse Alphabet Position.
• Even position letters (2nd, 4th, 6th, ...): Use Standard Alphabet Position.

Coding the Word TERMITE

Now, let's apply this rule to the word 'TERMITE'. It has 7 letters.

• T (1st letter): Odd position. Use Reverse position of T. Reverse position of T is 7.
• E (2nd letter): Even position. Use Standard position of E. Standard position of E is 5.
• R (3rd letter): Odd position. Use Reverse position of R. Reverse position of R is 9.
• M (4th letter): Even position. Use Standard position of M. Standard position of M is 13.
• I (5th letter): Odd position. Use Reverse position of I. Reverse position of I is 18.
• T (6th letter): Even position. Use Standard position of T. Standard position of T is 20.
• E (7th letter): Odd position. Use Reverse position of E. Reverse position of E is 22.

Concatenating these numbers gives the code for TERMITE: 75913182022.

Comparing with Options

Let's check which option matches our derived code:

1. 75913182022
2. 7591418205
3. 2059131875
4. 75181392022

Our derived code 75913182022 matches Option 1.

Revision Table

Additional Information on Letter Coding

Letter coding is a common type of question in logical reasoning and competitive exams. These problems require you to find a pattern between the original word/letters and their coded form. Common patterns involve:

• Shifting positions (e.g., A becomes C, B becomes D, etc.)
• Using standard alphabet positions ($\text{A}=1, \text{B}=2, \dots, \text{Z}=26$)
• Using reverse alphabet positions ($\text{Z}=1, \text{Y}=2, \dots, \text{A}=26$)
• Using positions relative to the middle of the alphabet (M/N)
• Alternating patterns (like the one in this problem)
• Applying arithmetic operations (+, -, *, /) to positions
• Coding based on vowels/consonants

Solving these problems effectively requires familiarity with alphabet positions and systematic checking of potential patterns using the given examples.