Four players M, N, O, P are seated at a card table. M is on the right of N. P is on the left of O. Which pair are partners (i.e., seated opposite each other)?
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AP and O
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BM and P
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CM and N
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DN and P
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ENone of these
Answer
Correct Answer: N and P
Explanation
Introduction / Context:With four people around a square/round table, “partners” are the two who sit opposite. Right/left are taken with everyone facing inward.
Given Data / Assumptions:
- M is on the right of N ⇒ in inward-facing terms, M is the counterclockwise neighbor of N.
- P is on the left of O ⇒ P is the clockwise neighbor of O.
Concept / Approach:Place N, then put M immediately to N’s right. Separately ensure P is immediately to O’s left. Fit the four around the table and identify opposite seats.
Step-by-Step Solution:A consistent clockwise order is: N, O, P, M.Check: M is right of N (counterclockwise neighbor) — yes (M is before N when listing clockwise).P is left of O (clockwise neighbor) — yes (P follows O clockwise).Opposite pairs are (N, P) and (O, M).
Verification / Alternative check:Trying other rotations yields the same opposite pairing structure.
Why Other Options Are Wrong:They are adjacent pairs, not opposites, or they conflict with right/left constraints.
Common Pitfalls:Using classroom right/left instead of inward-facing circular right/left.
Final Answer:N and P