GATE 2020 BM – Question 7
P,Q,R,S,T,U,V,W sit around a circular table. S is opposite W. U is second to the right of R, T is third to the left of R, and V is a neighbour of S. Which statement must be true?
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Show answer and explanation
Correct answer: (C) P is not opposite Q
Explanation
Fix R to remove rotational symmetry and number seats around the table, choosing the rightward direction as increasing. Then U occupies seat two and T seat five. Place the opposite S,W pair in the remaining seats and require V adjacent to S. In each permitted placement, the two seats left for P,Q are not opposite; swapping P and Q cannot change this. Thus C is forced, whereas their individual neighbour relationships are not.
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