GROUP Coding Example Analysis

Let's analyze the word 'GROUP' and its corresponding code '7T15W16'. First, we determine the alphabetical positions for each letter in 'GROUP':

• G: 7
• R: 18
• O: 15
• U: 21
• P: 16

Comparing these positions to the code segments:

• G (7) corresponds to the number '7'.
• R (18) corresponds to the letter 'T'. 'T' is the 20^th letter in the alphabet. The change is $18 \rightarrow 20$, which is Position + 2.
• O (15) corresponds to the number '15'.
• U (21) corresponds to the letter 'W'. 'W' is the 23^rd letter in the alphabet. The change is $21 \rightarrow 23$, which is Position + 2.
• P (16) corresponds to the number '16'.

In 'GROUP', the 2^nd and 4^th letters (R and U) are transformed by adding 2 to their alphabetical position, while the 1^st, 3^rd, and 5^th letters (G, O, P) retain their original positions.

STATE Coding Example Analysis

Next, let's analyze the word 'STATE' and its code '19V1V5'. The alphabetical positions are:

• S: 19
• T: 20
• A: 1
• T: 20
• E: 5

Comparing these positions to the code segments:

• S (19) corresponds to the number '19'.
• T (20) corresponds to the letter 'V'. 'V' is the 22^nd letter. The change is $20 \rightarrow 22$, which is Position + 2.
• A (1) corresponds to the number '1'.
• T (20) corresponds to the letter 'V'. 'V' is the 22^nd letter. The change is $20 \rightarrow 22$, which is Position + 2.
• E (5) corresponds to the number '5'.

Similar to 'GROUP', in 'STATE', the 2^nd and 4^th letters (T and T) are transformed by adding 2 to their alphabetical position. The 1^st, 3^rd, and 5^th letters (S, A, E) retain their original positions.

Coding Pattern Identification

From the analysis of both examples, a clear alternating pattern emerges:

• 1^st Letter: Uses its original alphabetical position.
• 2^nd Letter: Uses its alphabetical position plus 2.
• 3^rd Letter: Uses its original alphabetical position.
• 4^th Letter: Uses its alphabetical position plus 2.
• 5^th Letter: Uses its original alphabetical position.

The coding rule is: position, position + 2, position, position + 2, position.

RIGHT Code Application

Now, we apply this pattern to the word 'RIGHT'. First, list the alphabetical positions:

• R: 18
• I: 9
• G: 7
• H: 8
• T: 20

Applying the pattern:

• R (1^st letter): Original position = 18.
• I (2^nd letter): Position + 2 = $9 + 2 = 11$. The 11^th letter is K.
• G (3^rd letter): Original position = 7.
• H (4^th letter): Position + 2 = $8 + 2 = 10$. The 10^th letter is J.
• T (5^th letter): Original position = 20.

Combining these results yields the code '18K7J20'.

Final Answer Derivation

The code generated for 'RIGHT' using the identified pattern is '18K7J20'.