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.
How many persons sit between R and W when counted in a clockwise direction starting from R?
Correct Answer :
Two
Solution :
The correct option is Two.
Step-by-Step Explanation:
Let us determine the positions of the eight professionals—P, Q, R, S, T, U, V, and W—seated around a circular table facing the center. We can number the seats 1 through 8 in a clockwise order.
1. Placing P and V:
It is given that exactly three people sit between P and V. In an 8-person circular table, having three people between two individuals means they sit directly opposite each other.
• Let P be at Position 1.
• Then V must be at Position 5 (opposite P).
2. Placing R:
V sits to the immediate left of R. For a person facing the center, moving clockwise represents their immediate left.
• Since V is at Position 5, R must be at Position 4 (so that V at 5 is to the immediate left of R at 4).
3. Placing W and T:
W sits exactly halfway between P and T along the circle. Measured counter-clockwise from Position 1 (P) to Position 5, the midpoint is Position 7.
• W is at Position 7.
• T is at Position 3 (or Position 8 depending on S).
4. Placing Q and U:
Two individuals sit between Q and U, and U is not seated next to P (Positions 2 and 8).
• Placing U at Position 6 ensures U is not adjacent to P.
• Placing Q at Position 3 (or Position 2) ensures exactly two persons (R at Position 4 and V at Position 5) sit between Q and U.
• S occupies the remaining position.
5. Complete Clockwise Seating Arrangement:
• Position 1: P
• Position 2: S
• Position 3: Q
• Position 4: R
• Position 5: V
• Position 6: U
• Position 7: W
• Position 8: T
6. Counting between R and W:
Starting from R (Position 4) and counting in a clockwise direction to W (Position 7):
• Position 5: V (1st person)
• Position 6: U (2nd person)
Therefore, exactly Two persons (V and U) sit between R and W when counted in a clockwise direction starting from R.
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