Difficulty: Medium
Correct Answer: GFE
Explanation:
Introduction / Context:
This analogy uses an alphabet mirror or reflection rule, similar to other coding problems. The pair “IJK : RQP” suggests a transformation that involves mapping each letter to a corresponding letter on the opposite side of the alphabet. We must apply the same transformation to “TUV” and select the correct resulting group from the options.
Given Data / Assumptions:
Concept / Approach:
We test whether RQP is simply the reflection of IJK in the alphabet. If I reflects to R, J to Q, and K to P under the mirror rule, then we can apply the same reflection to the letters T, U, and V. This will yield the corresponding group that should replace the question mark. Once we find the reflected sequence numerically, we then match it with one of the options.
Step-by-Step Solution:
Step 1: Confirm reflection for the first pair.
I is 9; 27 − 9 = 18 → R.
J is 10; 27 − 10 = 17 → Q.
K is 11; 27 − 11 = 16 → P.
Thus, IJK becomes RQP by reflecting each letter across the alphabet.
Step 2: Apply the same reflection to TUV.
T is 20; 27 − 20 = 7 → G.
U is 21; 27 − 21 = 6 → F.
V is 22; 27 − 22 = 5 → E.
Step 3: The resulting letters are G F E (GFE).
Verification / Alternative check:
We can verify by reversing the reflection. Reflecting GFE again should return TUV. G is 7; 27 − 7 = 20 → T. F is 6; 27 − 6 = 21 → U. E is 5; 27 − 5 = 22 → V. This exact reversibility confirms that the mapping is correct and that GFE is the proper analog of TUV under the rule defined by IJK → RQP.
Why Other Options Are Wrong:
• CDE: C (3), D (4), E (5) are not the reflections of T (20), U (21), V (22) and do not follow the mirror formula.
• YZZ: Contains repeated Z and does not correspond to consistent reflections of T, U, and V.
• DCB: Although it is a reversed sequence, it is unrelated to the reflected positions of T, U, and V.
Common Pitfalls:
Some test takers confuse simple reversal (writing letters backwards) with full alphabet reflection. RQP is not just JKI reversed; it is formed by mapping to mirror positions. Always check the numeric positions to distinguish between reversal and reflection. Once the reflection idea is clear, applying it to TUV makes GFE the obvious answer.
Final Answer:
The correct related letter group is GFE.
Discussion & Comments