Seven persons P, Q, R, S, T, U and V are sitting around a circular table facing the center (not necessarily in the same order). T sits third to the right of R. V sits third to the right of Q. One person sits between P and T. P is not the neighbor of S. U sits third to the left of P. Who sits second to the left of S?
V
Solving the Circular Seating Arrangement Puzzle
This puzzle involves arranging seven persons (P, Q, R, S, T, U, and V) around a circular table based on a set of clues. All persons are facing the center. We need to use the given information to deduce the exact seating order.
Step-by-Step Deduction Process
Let's break down the clues and build the arrangement step by step. We will assume positions are numbered 1 to 7 clockwise around the table for clarity in explaining the logic.
- Clue 1: T sits third to the right of R.
If R is at position 1, then counting three positions to the right (clockwise) leads to T at position 4.
Arrangement snippet: R _ _ T - Clue 3: One person sits between P and T.
This means P is separated from T by exactly one person along the shorter arc of the circle. Given T is at position 4, P must be at position 2 or position 6.
Option A: P is at position 2 (separated by person at pos 3). R(1), P(2), _(3), T(4).
Option B: P is at position 6 (separated by person at pos 5). R(1), _(2), _(3), T(4), _(5), P(6).
Let's evaluate these options using other clues.
Evaluating Option A: P at position 2
Arrangement so far: R(1), P(2), _(3), T(4), _(5), _(6), _(7).
- Clue 5: U sits third to the left of P.
Starting from P at position 2, count three positions to the left (counter-clockwise): P(2) → R(1) → 7 → 6. U is at position 6.
Arrangement: R(1), P(2), _(3), T(4), _(5), U(6), _(7). - Clue 4: P is not the neighbor of S. P is at position 2. Its neighbors are R (at 1) and the person at 3. S cannot be at 3. The remaining positions for Q, S, V are 3, 5, and 7. So S must be at 5 or 7.
- Clue 2: V sits third to the right of Q.
Remaining people: Q, S, V. Remaining positions: 3, 5, 7. S is at 5 or 7.
- If S is at 5: Remaining spots for Q and V are 3 and 7.
Arrangement: R(1), P(2), Q/V(3), T(4), S(5), U(6), Q/V(7).- If Q is at 3, 3rd right is U(6). V would be at 6. But U is already at 6. Not possible.
- If Q is at 7, 3rd right is V(3). V would be at 3. This places V at 3 and Q at 7.
Arrangement: R(1), P(2), V(3), T(4), S(5), U(6), Q(7).
- T 3rd right of R? R(1)→P(2)→V(3)→T(4). Yes.
- V 3rd right of Q? Q(7)→R(1)→P(2)→V(3). Yes.
- One person between P and T? P(2), V(3), T(4). V is between them (1 person). Yes.
- P is not neighbor of S? P(2) neighbors are R(1) and V(3). S is at 5. Yes.
- U 3rd left of P? P(2)→R(1)→Q(7)→U(6). Yes.
- If S is at 5: Remaining spots for Q and V are 3 and 7.
Final Arrangement
The arrangement that satisfies all clues is (clockwise):
| Position | Person |
|---|---|
| 1 | R |
| 2 | P |
| 3 | V |
| 4 | T |
| 5 | S |
| 6 | U |
| 7 | Q |
Alternatively, visualized circularly (clockwise): R → P → V → T → S → U → Q → R.
Answering the Question
The question asks: Who sits second to the left of S?
Starting from S in our arrangement (at position 5), we move left (counter-clockwise):
- 1st to the left of S is T (at position 4).
- 2nd to the left of S is V (at position 3).
Therefore, V sits second to the left of S.
Important Questions from Circular Arrangement
Eight students A, B, C, D, E, F, G and Hsit around a circular table, equidistant from each other, facing the centre of the table, not necessarily in the same order. Band Dsit neither adjacent to Cnor opposite to C. Asits in between Eand D, and Fsits in between Band H. Which one of the following is definitely correct?
Six persons A, B, C, D, E and Fare sitting equidistant from each other around a circular table (facing the centre of the table).
Consider the Question and two Statements given below :
Question : Who is sitting on the immediate left of A?
Statement-1 : Bis sitting opposite to Cand Dis sitting opposite to E.
Statement-2 : Fis sitting on the immediate left of B.
Which one of the following is correct in respect of the Question and the Statements?
Akash, Binita, Chandan, Daksh, Ekta & Fatima are standing in a circle. Binita is between Daksh & Chandan. Akash is between Ekta & Chandan. Fatima is to the right of Daksh. Who is between Akash & Fatima?
Six friends A, B, C, D, E and F are sitting around a round table in such a way that A is between E and F, E is opposite to D, and C is not on either side of E. The person opposite to D is
Six friends A,B,C,D,E and F are sitting in a closed circle facing the centre. E is to the left of D. C is between A and B. F is between E and A.
Who is in the either side of A?
