In a letter code FHK corresponds to DFI by following a fixed alphabetical rule. Using the same rule, which of the following groups of letters will correspond to OQT?

Difficulty: Medium

Correct Answer: MOR

Explanation:


Introduction / Context:
This question belongs to the letter coding and analogy segment of verbal reasoning. You are given one coded pair of three letter groups and must deduce the underlying alphabetical shift. Then the same shift is applied to another three letter group to obtain the missing answer.


Given Data / Assumptions:

  • Original group one: FHK
  • Coded group: DFI
  • Original group two: OQT
  • All coding uses forward or backward shifts within the English alphabet.


Concept / Approach:
In such letter analogies, the most direct method is to consider each position separately and see how many steps forward or backward each letter has moved. If the same shift applies to all letters of a group, that becomes the rule used to encode any new group in the same way.


Step-by-Step Solution:

Step 1: Determine positions of letters in FHK. F is 6, H is 8, K is 11. Step 2: Determine positions of letters in DFI. D is 4, F is 6, I is 9. Step 3: Compute the shifts. F (6) to D (4) is −2. H (8) to F (6) is −2. K (11) to I (9) is −2. So each letter is shifted two steps backward. Step 4: Apply the same shift to OQT. Positions are O = 15, Q = 17, T = 20. Step 5: Shift each letter by −2. O to M (13), Q to O (15), T to R (18). So OQT becomes MOR.


Verification / Alternative check:
Check that MOR appears exactly in the options and that no other option reflects the same constant backward shift of two from OQT. Also verify that applying the same rule again to FHK reproduces DFI, which confirms that the pattern has been correctly identified.


Why Other Options Are Wrong:

  • NPS involves a pattern of mixed shifts and does not correspond to a constant backward change of two for each letter.
  • PRT is obtained by forward shifting from OQT rather than backward shifting.
  • QSV is also based on forward movement in the alphabet and therefore breaks the analogy.
  • MPR does not match a uniform shift of two steps from each letter of OQT and so cannot be correct.


Common Pitfalls:
Learners sometimes inspect only the first letter and choose any option where O seems to move to M or P. However, the rule must hold consistently for all letters in the group. Always check each position carefully and ensure the same shift applies in every case before finalising your answer.


Final Answer:
Using the same rule, OQT is coded as MOR.

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