Select the option that is related to the third term in the same way as the second term is related to the first term. BACTERIA : EXFWBUFX :: WOUNDS : ?
ZLRQGV
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.
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).
| Original Letter | Position | Transformed Letter | Position | Difference |
|---|---|---|---|---|
| B | $\text{2}$ | E | $\text{5}$ | $\text{+3}$ |
| A | $\text{1}$ | X | $\text{24}$ | $\text{-3}$ (wrapping around from A) |
| C | $\text{3}$ | F | $\text{6}$ | $\text{+3}$ |
| T | $\text{20}$ | W | $\text{23}$ | $\text{+3}$ |
| E | $\text{5}$ | B | $\text{2}$ | $\text{-3}$ |
| R | $\text{18}$ | U | $\text{21}$ | $\text{+3}$ |
| I | $\text{9}$ | F | $\text{6}$ | $\text{-3}$ |
| A | $\text{1}$ | X | $\text{24}$ | $\text{-3}$ (wrapping around from A) |
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.
The pattern appears to be:
| Letter Type | Operation |
|---|---|
| Consonant | Add 3 to the letter's position ($\text{+3}$) |
| Vowel | Subtract 3 from the letter's position ($\text{-3}$) |
Let's verify this rule with BACTERIA:
This rule perfectly explains the transformation from BACTERIA to EXFWBUFX.
Now, we apply the same rule (Consonant +3, Vowel -3) to the word 'WOUNDS'.
| Original Letter | Type | Position | Operation | Calculation | New Position | Transformed Letter |
|---|---|---|---|---|---|---|
| W | Consonant | $\text{23}$ | $\text{+3}$ | $\text{23 + 3}$ | $\text{26}$ | Z |
| O | Vowel | $\text{15}$ | $\text{-3}$ | $\text{15 - 3}$ | $\text{12}$ | L |
| U | Vowel | $\text{21}$ | $\text{-3}$ | $\text{21 - 3}$ | $\text{18}$ | R |
| N | Consonant | $\text{14}$ | $\text{+3}$ | $\text{14 + 3}$ | $\text{17}$ | Q |
| D | Consonant | $\text{4}$ | $\text{+3}$ | $\text{4 + 3}$ | $\text{7}$ | G |
| S | Consonant | $\text{19}$ | $\text{+3}$ | $\text{19 + 3}$ | $\text{22}$ | V |
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.
| Step | Description | Outcome |
|---|---|---|
| $\text{1}$ | Analyze the transformation from BACTERIA to EXFWBUFX. | Identified letter shifts (+3/-3). |
| $\text{2}$ | Examine letter properties (vowel/consonant). | Pattern correlates with letter type. |
| $\text{3}$ | Formulate the rule. | Consonant: +3; Vowel: -3. |
| $\text{4}$ | Apply the rule to WOUNDS. | Calculated new letters: Z, L, R, Q, G, V. |
| $\text{5}$ | Combine transformed letters. | Resulting word: ZLRQGV. |
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:
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.
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