In this letter analogy, ELQZ is related to AJOV by a specific coding rule; using the same rule, find the letter group that completes the analogy: ELQZ : AJOV :: VXTD : ?

Introduction / Context:
This question belongs to the alphabet coding and analogy section of verbal reasoning. We are given one pair of letter groups, ELQZ and AJOV, and asked to apply the same hidden rule to another group, VXTD, to determine the correct related group. Solving this type of problem improves pattern recognition and logical thinking with alphabet positions.

Given Data / Assumptions:

• The English alphabet has 26 letters, ranked A = 1, B = 2, …, Z = 26.
• The pair ELQZ : AJOV follows some fixed transformation applied letter by letter.
• The same transformation must be applied to VXTD to generate the missing group.
• Only one option will match the exact pattern used in the first pair.

Concept / Approach:
Letter analogy questions usually involve operations such as shifting letters forward or backward, reversing order, or taking mirror positions (where A pairs with Z, B with Y, and so on). Here, we test whether ELQZ is mapped to AJOV by taking mirror letters in the alphabet. If that works, we can apply the same mirror operation to VXTD and then compare the result with the options.

Step-by-Step Solution:
Step 1: Write down the positions of the letters in ELQZ: E = 5, L = 12, Q = 17, Z = 26.Step 2: For each letter, find its mirror with respect to the alphabet, where mirror position = 27 - original position, so A pairs with Z, B with Y, and so on.Step 3: Compute mirrors: E (5) mirrors to 27 - 5 = 22, which is V; L (12) mirrors to 15, which is O; Q (17) mirrors to 10, which is J; Z (26) mirrors to 1, which is A.Step 4: The mirror string of ELQZ is VOJA. When we compare VOJA with the given result AJOV, we see that the letters are the same but written in reverse order.Step 5: Therefore, the combined rule is: take the mirror of each letter, then reverse the sequence to form the final group.Step 6: Apply the same rule to VXTD. First find mirrors: V (22) mirrors to E (5), X (24) mirrors to C (3), T (20) mirrors to G (7), and D (4) mirrors to W (23), so mirror string is ECGW.Step 7: Now reverse ECGW to get WGCE. This matches option B exactly.

Verification / Alternative check:
We can quickly verify by checking that no other option can be obtained by any simple uniform shift from VXTD, while WGCE neatly arises from the mirror plus reverse rule that already fits the first pair. This consistent application of the same two step transformation confirms our answer.

Why Other Options Are Wrong:
Option A (GWXE) uses some of the same letters but does not match the precise mirror and reverse sequence. Option C (XWGE) rearranges the letters differently and cannot be produced by the rule established from ELQZ : AJOV. Option D (WCDE) is completely unrelated to the mirrors of VXTD. Since only WGCE comes from systematically applying the discovered pattern, the other options are incorrect.

Common Pitfalls:
A typical mistake is to look only for simple forward or backward shifts in positions and ignore more complex operations such as mirroring and reversing. Some candidates also guess based on superficial similarity of letters rather than verifying a consistent rule. To avoid such errors, always confirm that your transformation works perfectly for the entire first pair before applying it to the second pair.

Final Answer:
The correct related letter group that completes the analogy is WGCE, so option B is the right answer.