GATE 2020 MA – 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; V neighbours S. Which must be true?
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Show answer and explanation
Correct answer: (C) P is not opposite Q.
Explanation
Fix R at seat 0 to remove rotational duplicates, with right counted clockwise. Then U occupies 2 and T occupies 5. Place S and W four seats apart among the free positions and require V next to S. Checking the remaining placements leaves P and Q never four seats apart. The other three claims vary between valid arrangements. Thus the necessary statement is C; reversing the clockwise convention reflects every arrangement without changing this result.
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