In the following question, select the related letters from the given alternatives by applying the same mirror coding rule: DJLQ : WQOJ :: DMSW : ?

Difficulty: Medium

Correct Answer: WNHD

Explanation:


Introduction / Context:
This letter analogy problem comes from the alphabet coding section of reasoning. We are given the pair DJLQ : WQOJ and must find which option correctly represents the coded form of DMSW using the same transformation. Solving this requires a good grasp of letter positions and mirror relationships within the English alphabet.


Given Data / Assumptions:

  • The alphabet is treated as a sequence from A = 1 to Z = 26.
  • DJLQ is transformed into WQOJ in the given pair.
  • The same coding rule must be applied to DMSW.
  • The options provide four possible four letter codes, only one of which follows the same pattern.


Concept / Approach:
First we test common operations like shifting letters forward or backward by a fixed number of positions. When this fails, we consider mirror coding, where each letter is replaced by its opposite in the alphabet: A pairs with Z, B with Y, C with X, and so on. If we see that each letter of DJLQ is replaced by its mirror to get WQOJ, we then apply the same mirror operation to DMSW and match the result to the options.


Step-by-Step Solution:
Step 1: Determine the positions of the letters in DJLQ: D = 4, J = 10, L = 12, Q = 17.Step 2: For mirror coding, compute mirror position = 27 – original position, so that A (1) pairs with Z (26), B (2) with Y (25), and so on.Step 3: Find the mirrors: D (4) mirrors to 27 – 4 = 23, which is W; J (10) mirrors to 17, which is Q; L (12) mirrors to 15, which is O; Q (17) mirrors to 10, which is J.Step 4: The mirror string of DJLQ is WQOJ, which exactly matches the given coded form. So the rule is confirmed as simple mirror coding.Step 5: Now apply the same process to DMSW. Positions are D = 4, M = 13, S = 19, W = 23.Step 6: Compute mirrors: D (4) mirrors to 23, which is W; M (13) mirrors to 14, which is N; S (19) mirrors to 8, which is H; W (23) mirrors to 4, which is D.Step 7: This gives the string WNHD, which matches option A.


Verification / Alternative check:
To verify, we can check whether any other option could plausibly come from a simple uniform shift or a different consistent rule. None of the other options match the mirror positions or uniform shifts applied to DMSW. Since the mirror mapping works perfectly for the first pair and leads precisely to WNHD for the second word, our answer is reliable.


Why Other Options Are Wrong:
Option B, WNDH, is a rearrangement of the correct letters but not in the proper mirror order, which shows that it does not truly follow the coding rule. Option C, WHND, also mixes correct and incorrect positions. Option D, WWCC, does not relate to the mirror positions of D, M, S and W at all. Thus these options fail to reflect the discovered transformation.


Common Pitfalls:
Some candidates stop after finding a partial similarity and choose an option that contains some matching letters without verifying each position. Others only test forward or backward shifts and overlook the mirror concept entirely. Always confirm that your rule explains every letter transformation in the example pair before using it to decode the second word.


Final Answer:
The correct coded form of DMSW under the same mirror rule is WNHD, so option A is correct.

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