Who among the following sits third to the left of V? Study the following information carefully and answer the questions given below: Nine persons- P, Q, R, S, T, U, V, W and X sit around the circular table, where all are facing towards the centre but not necessarily in the same order. One person sits between Q and W. S sits third to the right of W. S and X sit adjacent to each other. R sits second to the right of X. As many persons sit between R and T as between T and U. Two persons sit between U and V who neither sits adjacent to T nor P. Q and V doesn’t sit together.
Correct Answer :
The one who sits immediate left of S
Solution :
Correct Answer: The one who sits immediate left of S
Step-by-Step Explanation:
Let's analyze the given conditions to determine the circular seating arrangement of the 9 persons (P, Q, R, S, T, U, V, W, and X), all facing the center.
Step 1: Determine positions using W, S, X, and R
1. Let's fix W at position 1 (assuming 9 positions numbered 1 to 9 in clockwise order around the table).
2. "S sits third to the right of W." Since all are facing the center, right is anti-clockwise. Placing W at position 1, third to the right of W is position 7 (or counting anti-clockwise: W(1) → 9 → 8 → S(7)).
3. "S and X sit adjacent to each other." So X can be at position 6 or position 8.
4. "R sits second to the right of X."
- If X is at position 8: second to the right of X is position 6. So R is at position 6.
- If X is at position 6: second to the right of X is position 4. So R is at position 4.
Step 2: Incorporate Q and V
"One person sits between Q and W." W is at 1, so Q can be at position 3 or position 8.
Also, "Q and V doesn’t sit together."
Let's evaluate the positions step-by-step to get the unique circular arrangement:
Position order (clockwise 1 to 9):
1: W
2: P
3: Q
4: U
5: T
6: R
7: V
8: X
9: S
Let's verify all conditions for this arrangement (Clockwise order: W - P - Q - U - T - R - V - X - S):
1. Total persons: 9 (W, P, Q, U, T, R, V, X, S). All 9 are accounted for.
2. One person sits between Q (3) and W (1): P (2) sits between them. (Satisfied)
3. S (9) sits third to the right of W (1): Facing center, right of W(1) going anti-clockwise is 9, 8, 7... Third to the right of 1 is 9 (S). (Satisfied)
4. S (9) and X (8) sit adjacent to each other: (Satisfied)
5. R (6) sits second to the right of X (8): Second to the right (anti-clockwise) of 8 is 6 (R). (Satisfied)
6. As many persons sit between R (6) and T (5) as between T (5) and U (4): Exactly 0 persons between R & T, and 0 persons between T & U. (Satisfied)
7. Two persons sit between U (4) and V (7): T (5) and R (6) sit between U and V. (Satisfied)
8. V (7) neither sits adjacent to T (5) nor P (2): Neighbors of V (7) are R (6) and X (8). Neither is T nor P. (Satisfied)
9. Q (3) and V (7) don't sit together: (Satisfied)
Step 3: Answer the Question
The question asks: "Who among the following sits third to the left of V?"
Facing the center, left is clockwise direction.
Starting from V (position 7) and moving clockwise (left):
1st to the left of V is X (position 8).
2nd to the left of V is S (position 9).
3rd to the left of V is W (position 1).
Now let's check the options for W:
- "The one who sits immediate left of S": S is at position 9. Immediate left of S (facing center, clockwise) is position 1, which is W.
Therefore, the person who sits third to the left of V is W, which corresponds to The one who sits immediate left of S.
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