Understanding the Letter Analogy: BACTERIA to EXFWBUFX

The question asks us to find the word related to 'WOUNDS' in the same way that 'BACTERIA' is related to 'EXFWBUFX'. This is a letter coding or word analogy problem where a specific rule or pattern transforms the letters of the first word into the letters of the second word.

Analyzing the BACTERIA to EXFWBUFX Transformation

Let's examine the transformation for each letter in 'BACTERIA' to see how it becomes 'EXFWBUFX'. We can look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).

Identifying the Pattern Rule

Looking closely at the differences (+3, -3, +3, +3, -3, +3, -3, -3), there isn't a simple repeating arithmetic progression. Let's consider another property of the letters: whether they are vowels (A, E, I, O, U) or consonants.

• B is a consonant: $\text{B} \xrightarrow{+3} \text{E}$
• A is a vowel: $\text{A} \xrightarrow{-3} \text{X}$
• C is a consonant: $\text{C} \xrightarrow{+3} \text{F}$
• T is a consonant: $\text{T} \xrightarrow{+3} \text{W}$
• E is a vowel: $\text{E} \xrightarrow{-3} \text{B}$
• R is a consonant: $\text{R} \xrightarrow{+3} \text{U}$
• I is a vowel: $\text{I} \xrightarrow{-3} \text{F}$
• A is a vowel: $\text{A} \xrightarrow{-3} \text{X}$

The pattern appears to be:

Let's verify this rule with BACTERIA:

• B (Consonant, 2) + 3 = 5 (E)
• A (Vowel, 1) - 3 = -2. Wrapping around (1 $\to$ Z $\to$ Y $\to$ X), -2 corresponds to 24 (X).
• C (Consonant, 3) + 3 = 6 (F)
• T (Consonant, 20) + 3 = 23 (W)
• E (Vowel, 5) - 3 = 2 (B)
• R (Consonant, 18) + 3 = 21 (U)
• I (Vowel, 9) - 3 = 6 (F)
• A (Vowel, 1) - 3 = -2, corresponds to 24 (X).

This rule perfectly explains the transformation from BACTERIA to EXFWBUFX.

Applying the Pattern to WOUNDS

Now, we apply the same rule (Consonant +3, Vowel -3) to the word 'WOUNDS'.

Applying the rule to each letter of WOUNDS gives us the following sequence of transformed letters: Z, L, R, Q, G, V.

The word related to WOUNDS is ZLRQGV.

Revision Table: Decoding Logic

Additional Information on Letter Coding Analogies

Letter coding and analogies are common types of questions in reasoning tests. They assess your ability to identify patterns and apply rules. Patterns can involve various transformations:

• Adding or subtracting a fixed number to letter positions (e.g., +1, -2, +3...).
• Adding or subtracting a variable number to letter positions (e.g., +1, -2, +3, -4...).
• Reversing the order of letters or parts of the word.
• Substituting letters based on their position from the end of the alphabet (A $\leftrightarrow$ Z, B $\leftrightarrow$ Y, etc.).
• Using a combination of these rules.
• Patterns based on vowel/consonant, uppercase/lowercase, etc.

To solve these problems, it's helpful to write out the alphabet and its positions (A=1 to Z=26) or even reversed positions (Z=1 to A=26). Practice helps in quickly recognizing common patterns.