Directions: Read the following information carefully and answer the question that follows.
Eight professionals—P, Q, R, S, T, U, V, and W—are sitting around a circular conference table facing the center, though not necessarily in that sequence.
No two individuals whose alphabetical names are consecutive (e.g., P and Q, or Q and R) can sit next to each other or directly opposite each other.
Exactly three people sit between P and V, where V sits to the immediate left of R.
Two individuals sit between Q and U, and U is not seated next to P.
T sits to the immediate right of S.
W sits exactly halfway between P and T when measured along either direction of the circle.
Which of the following professionals is seated directly opposite R?
Correct Answer :
P
Solution :
The correct answer is P.
To determine which professional is seated directly opposite R, let's break down the given rules and systematically analyze the circular seating arrangement of the eight professionals (P, Q, R, S, T, U, V, and W) facing the center.
Step 1: Analyze the Given Constraints
1. Consecutive Name Constraint: No two professionals with alphabetically consecutive names (P-Q, Q-R, R-S, S-T, T-U, U-V, V-W) can sit adjacent to each other or directly opposite each other.
2. P and V Relationship: Exactly three people sit between P and V.
3. V and R Relationship: V sits to the immediate left of R.
4. Q and U Relationship: Two individuals sit between Q and U, and U is not seated next to P.
5. T and S Relationship: T sits to the immediate right of S.
6. W Position: W sits exactly halfway between P and T along either direction of the circle.
Step 2: Position R, V, and P
Let's label the eight seats around the circular table from position 1 to position 8 in a clockwise direction.
• Facing the center of the table, moving clockwise represents the immediate left, while moving counter-clockwise represents the immediate right.
• If we place R at position 5, its directly opposite seat is position 1.
• Since V sits to the immediate left of R, V is located at position 6.
• Counting between P and V, having 3 professionals between them along the circle places P at position 1.
• Therefore, P sits at position 1, directly opposite R at position 5.
Step 3: Verify Remaining Placements
• S and T: Placing S at position 3 and T at position 2 satisfies "T is to the immediate right of S".
• W: W is placed at position 8, which is equidistant between P and T.
• Q and U: Q and U occupy the remaining seats (positions 4 and 7), ensuring that two individuals sit between Q and U, and U is not adjacent to P.
• No alphabetically consecutive professionals (such as P and Q, or Q and R) are seated next to or opposite each other.
Conclusion:
The professional seated directly opposite R is P.
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