Difficulty: Medium
Correct Answer: MR11
Explanation:
Introduction / Context:
Alphanumeric classifications often tie letters to numbers via a consistent arithmetic (sum, difference, mean). Here, the embedded rule is the mean of positions (A=1 … Z=26). Spotting the arithmetic relation cleanly exposes the single misfit.
Given Data / Assumptions:
Concept / Approach:
Compute the mean for each letter pair and compare with the trailing number. The outlier fails to match.
Step-by-Step Solution:
K(11), Q(17) → mean = (11+17)/2 = 14 → matches 14.A(1), Y(25) → mean = (1+25)/2 = 13 → matches 13.G(7), W(23) → mean = (7+23)/2 = 15 → matches 15.M(13), R(18) → mean = (13+18)/2 = 15.5 → does not match 11 → exception.
Verification / Alternative check:
The three conforming items also show symmetric spacing around their mean letter (e.g., K and Q around N). MR cannot map to an integer mean, reinforcing the mismatch.
Why Other Options Are Wrong:
Common Pitfalls:
Mistaking the rule for “difference” or “sum” instead of “mean,” which would not uniquely isolate the same item.
Final Answer:
MR11
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