Difficulty: Medium
Correct Answer: NPR
Explanation:
Introduction / Context:
This question tests your ability to decode alphabet analogies that use mirror coding. We are given the pair WUS : DFH and must identify the correct mapping for MKI under the same transformation. These problems build familiarity with the idea that letters can be paired symmetrically across the alphabet, with A mirrored by Z, B by Y, and so on.
Given Data / Assumptions:
Concept / Approach:
First we test whether WUS has been transformed by a simple shift in positions. If this fails, we check for mirror coding, where each letter is replaced by its opposite in the alphabet using the formula mirror position = 27 – original position. If W maps neatly to D, U to F and S to H with this rule, we accept mirror coding as the correct transformation and then apply it to MKI.
Step-by-Step Solution:
Step 1: Determine the positions of W, U and S: W = 23, U = 21, S = 19.Step 2: Compute mirror position = 27 – original. For W (23), mirror = 27 – 23 = 4, which is D. For U (21), mirror = 27 – 21 = 6, which is F. For S (19), mirror = 27 – 19 = 8, which is H.Step 3: The resulting string DFH matches the given coded form, so the rule is confirmed as mirror coding.Step 4: Now find the positions of M, K and I: M = 13, K = 11, I = 9.Step 5: Apply the same mirror formula. For M (13), mirror = 27 – 13 = 14, which is N. For K (11), mirror = 27 – 11 = 16, which is P. For I (9), mirror = 27 – 9 = 18, which is R.Step 6: Combine these letters to obtain NPR.Step 7: Compare with the options. NPR appears as option D, so that must be the correct answer.
Verification / Alternative check:
To double check, we can verify at a glance that none of the other options correspond to mirror positions of M, K and I. For example, GEC, OQS or LJH do not match the N, P and R obtained by formula. Since mirror coding explains the given example cleanly and leads unambiguously to NPR, our choice is well justified.
Why Other Options Are Wrong:
Option A, LJH, uses letters close to M, K and I in the alphabet but does not follow the mirror formula. Option B, GEC, would require a completely different rule. Option C, OQS, also fails to match the mirror positions and appears unrelated. Thus, these alternatives do not reflect the same transformation used in WUS : DFH.
Common Pitfalls:
One common error is guessing an option that visually looks similar or uses neighbouring letters instead of deriving the exact rule. Another pitfall is applying a uniform shift without checking whether it reproduces DFH from WUS in the first place. Always confirm the transformation thoroughly on the example pair before relying on it to decode the second word.
Final Answer:
Using the same mirror coding rule, MKI is correctly transformed to NPR, so option D is the right answer.
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