Analyzing the Coding Language Pattern

The problem asks us to decode a word based on a given coding language rule. We are told that in a specific code, the word 'PUPILS' is written as 'KFKROH'. We need to find out how the word 'EQUAL' will be written using the same rule.

First, let's analyze the relationship between the letters in 'PUPILS' and 'KFKROH'. We can compare the letters position by position:

• P corresponds to K
• U corresponds to F
• P corresponds to K
• I corresponds to R
• L corresponds to O
• S corresponds to H

Let's look at the alphabetical positions of these letters:

If we look closely at the positions, we can observe a pattern: the sum of the positions of the original letter and its coded letter is always 27. This suggests a reverse alphabet cipher, where A is coded as Z, B as Y, and so on.

• For P (16) and K (11): 16 + 11 = 27
• For U (21) and F (6): 21 + 6 = 27
• For P (16) and K (11): 16 + 11 = 27
• For I (9) and R (18): 9 + 18 = 27
• For L (12) and O (15): 12 + 15 = 27
• For S (19) and H (8): 19 + 8 = 27

The pattern is confirmed: each letter is replaced by its corresponding letter from the reverse alphabetical order.

Coding the word 'EQUAL'

Now we apply the same reverse alphabet rule to the word 'EQUAL'. We find the letter that is the reverse equivalent for each letter in 'EQUAL'.

• E: The 5th letter. The letter at position 27 - 5 = 22 is V. So, E is coded as V.
• Q: The 17th letter. The letter at position 27 - 17 = 10 is J. So, Q is coded as J.
• U: The 21st letter. The letter at position 27 - 21 = 6 is F. So, U is coded as F.
• A: The 1st letter. The letter at position 27 - 1 = 26 is Z. So, A is coded as Z.
• L: The 12th letter. The letter at position 27 - 12 = 15 is O. So, L is coded as O.

Combining the coded letters, 'EQUAL' is written as 'VJFZO'.

Comparing with Options

Let's check the given options:

1. VJFZO
2. VIGZP
3. WFBO
4. VKFZP

Our derived code 'VJFZO' matches the first option.

Conclusion

Based on the reverse alphabet coding rule identified from 'PUPILS' being coded as 'KFKROH', the word 'EQUAL' is coded as 'VJFZO'.

Revision Table: Letter Positions and Reverse

Additional Information: Coding Language Types

Coding languages in reasoning questions often follow various patterns. Understanding these types helps solve problems quickly. Some common patterns include:

• Letter Shifting: Each letter is shifted a fixed number of positions forward or backward in the alphabet (e.g., A becomes C, B becomes D - a shift of +2).
• Reverse Alphabet: As seen in this problem, each letter is replaced by its opposite letter (A <=> Z, B <=> Y, etc.).
• Position Swap: Letters within a word or group of letters are swapped based on a rule (e.g., first and last letters swap, letters at even positions swap with adjacent letters).
• Vowel/Consonant Coding: Vowels are coded differently from consonants, or specific rules apply based on whether a letter is a vowel or consonant.
• Mixed Patterns: A combination of the above rules can be used, potentially varying the rule based on the position of the letter or other factors.

Analyzing the sample word and its code is crucial to identify the specific rule used in a given problem.