Eight persons $P$, $Q$, $R$, $S$, $T$, $U$, $V$ and $W$ sit around a round table in eight different seats placed with equal distance between any two consecutive seats. Both $P$ and $R$ are adjacent to $Q$. Both $T$ and $R$ are adjacent to $S$. Both $U$ and $W$ are adjacent to $V$. $S$ and $W$ are on opposite chairs. If while going in the clockwise direction around the table from $P$, one meets $R$ before $T$, then how many persons shall $Q$ cross while moving in the clockwise direction around the table before meeting $W$?
Detailed Explanation:
Constraints: P-Q-R are consecutive (Q between P & R); T-S-R are consecutive (S between T & R); U-V-W are consecutive (V between U & W); S and W are opposite (4 seats apart in 8-seat circle); moving clockwise from P, R comes before T.
This gives us a 5-person block P-Q-R-S-T and a 3-person block. Since S and W are opposite and clockwise from P we meet R before T, we get: Position 1:P, 2:Q, 3:R, 4:S, 5:T, 6:U, 7:V, 8:W (S at 4, W at 8 = opposite).
Moving clockwise from Q(2) to W(8), Q crosses positions 3,4,5,6,7 = R, S, T, U, V = 5 persons.
Therefore, Q crosses 5 persons, making Option 1 the correct answer.
Question 1 of 1 Seating Arrangement
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