Classification – Odd one out (ordered pairs): Choose the pair that does not follow the same numeric rule: (108, 36), (69, 23), (42, 14), (56, 19).
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A(108, 36)
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B(69, 23)
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C(42, 14)
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D(56, 19)
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ENone of these
Answer
Correct Answer: (56, 19)
Explanation
Introduction / Context:Pair classification frequently tests a simple relation between the two components, such as multiplication/division by a constant. We examine whether the second element is a consistent function of the first (e.g., first/3).
Given Data / Assumptions:
- Pairs: (108, 36), (69, 23), (42, 14), (56, 19).
- Assume straightforward exact arithmetic relationships.
Concept / Approach:Test whether the second equals the first divided by 3. If three pairs satisfy x2 = x1 / 3 exactly and one does not, that one is the outlier.
Step-by-Step Solution:108 / 3 = 36 → matches (108, 36).69 / 3 = 23 → matches (69, 23).42 / 3 = 14 → matches (42, 14).56 / 3 = 18.666… ≠ 19 → breaks the rule.
Verification / Alternative check:Try other simple linear rules (e.g., subtracting a constant). None will fit three pairs simultaneously as cleanly as division by 3, confirming (56, 19) as the unique mismatch.
Why Other Options Are Wrong:
- (108, 36), (69, 23), (42, 14) all follow second = first / 3.
Common Pitfalls:Rounding 56/3 to 19 is not allowed; these puzzles expect exact integer relationships, not approximations.
Final Answer:(56, 19)