Directions: Read the following information carefully and answer the questions given below.
Eight individuals—P, Q, R, S, T, U, V, and W—are seated around a rectangular table. Four of them sit at the corners facing towards the centre, while the other four sit at the middle of the four sides facing away from the centre.
W sits at one of the middle of the sides and sits third to the right of S. R sits to the immediate right of U, who sits at one of the corners. Only two persons sit between R and Q. P sits second to the left of R. V sits to the immediate left of P. T sits to the immediate right of Q. W sits to the immediate right of V.
Which of the following statement(s) is/are correct?
I. P sits adjacent to V
II. T does not sit at a corner
III. W faces P
Correct Answer :
Both I and II
Solution :
The correct option is Both I and II.
Step-by-Step Explanation:
1. Understand Seating Rules and Facing Directions:
- Four individuals sit at the corners facing towards the centre (Inward).
- Four individuals sit at the middle of the sides facing away from the centre (Outward).
- For an inward-facing person: Right = Clockwise, Left = Counter-clockwise.
- For an outward-facing person: Right = Counter-clockwise, Left = Clockwise.
2. Determine the Seating Arrangement:
Let us assign 8 sequential positions around the table in a clockwise order, where odd positions (1, 3, 5, 7) represent the middle of the sides (facing outward) and even positions (2, 4, 6, 8) represent the corners (facing inward):
- S and W: W sits at the middle of a side and is third to the right of S. Since S must sit at a corner (facing inward), going 3 positions clockwise places S at position 8 and W at position 3.
- V and W: W sits to the immediate right of V. Since V is at a corner (facing inward), immediate right is 1 step clockwise, placing V at position 2.
- P and V: V sits to the immediate left of P. Since P is at the middle of a side (facing outward), immediate left is 1 step clockwise, placing P at position 1.
- P and R: P sits second to the left of R. Since R is facing outward (left is clockwise), working 2 steps backward clockwise gives R at position 7.
- R and U: R sits to the immediate right of U. U is at a corner (facing inward, right is clockwise), which places U at position 6.
- R and Q: Only two persons sit between R and Q. Moving counter-clockwise from position 7 (past positions 6 and 5) places Q at position 4.
- Q and T: T sits to the immediate right of Q. Q is at position 4 (facing inward), so 1 step clockwise places T at position 5.
Final Arrangement (Positions 1 to 8 Clockwise):
- Position 1 (Middle, Outward): P
- Position 2 (Corner, Inward): V
- Position 3 (Middle, Outward): W
- Position 4 (Corner, Inward): Q
- Position 5 (Middle, Outward): T
- Position 6 (Corner, Inward): U
- Position 7 (Middle, Outward): R
- Position 8 (Corner, Inward): S
3. Evaluate Statements:
- Statement I (P sits adjacent to V): Correct. P (position 1) and V (position 2) sit next to each other.
- Statement II (T does not sit at a corner): Correct. T sits at position 5, which is at the middle of a side.
- Statement III (W faces P): Incorrect. W (position 3) sits opposite to R (position 7), not P.
Hence, statements I and II are correct.
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