Directions: Read the instructions carefully and answer the question below.
Who is sitting third to the left of V?
T
Circular Table Seating Arrangement Logic Puzzle
This problem involves determining the seating positions of eight people (P, Q, R, S, T, U, V, and W) around a circular table based on a set of given clues. We need to find the person sitting third to the left of V.
Analyzing the Seating Arrangement Clues
Let's break down the given conditions and build the arrangement step-by-step:
- There are 8 people: P, Q, R, S, T, U, V, W.
- They are seated around a circular table, facing the center.
- Clue 1: S is sitting third to the left of R.
- Clue 2: U is sitting second to the right of V.
- Clue 3: U and P are the immediate neighbours of S.
- Clue 4: T is not an immediate neighbour of V.
- Clue 5: Q is not an immediate neighbour of R.
Step-by-Step Derivation of Arrangement
We will determine the positions by placing people relative to each other. Let's assume the seats are numbered 1 to 8 clockwise.
Step 1: Placing R and S
Clue 1 states "S is sitting third to the left of R". If we place R at seat 1, moving left (counter-clockwise): Seat 8 is the first left, Seat 7 is the second left, and Seat 6 is the third left. Therefore, S is at Seat 6.
Arrangement sketch:
Seat: 1 R, 2 ?, 3 ?, 4 ?, 5 ?, 6 S, 7 ?, 8 ?
Step 2: Placing P and U relative to S
Clue 3 states "U and P are the immediate neighbours of S". The neighbours of Seat 6 are Seat 5 and Seat 7. So, P and U must occupy Seats 5 and 7.
There are two possibilities:
- Possibility A: P is at Seat 5, U is at Seat 7.
- Possibility B: U is at Seat 5, P is at Seat 7.
Step 3: Placing V using U's position
Clue 2 states "U is sitting second to the right of V".
- Evaluating Possibility A (U at Seat 7): If U is at Seat 7, then V must be 2 seats to its left. Moving left from Seat 7: Seat 6 (1st left), Seat 5 (2nd left). So V must be at Seat 5. However, in Possibility A, P is already at Seat 5. This leads to a contradiction, so Possibility A is incorrect.
- Evaluating Possibility B (U at Seat 5): If U is at Seat 5, then V must be 2 seats to its left. Moving left from Seat 5: Seat 4 (1st left), Seat 3 (2nd left). So V must be at Seat 3. This is consistent as Seat 3 is currently empty.
So, Possibility B is correct. The arrangement is now:
Seat: 1 R, 2 ?, 3 V, 4 ?, 5 U, 6 S, 7 P, 8 ?
Current confirmed positions: R(1), V(3), U(5), S(6), P(7).
Step 4: Placing T using V's neighbours
Clue 4 states "T is not an immediate neighbour of V". V is at Seat 3. Its immediate neighbours are Seat 2 and Seat 4. Therefore, T cannot be in Seat 2 or Seat 4.
The remaining available seats are 2, 4, and 8. Since T cannot be in Seat 2 or Seat 4, T must be in Seat 8.
Arrangement sketch:
Seat: 1 R, 2 ?, 3 V, 4 ?, 5 U, 6 S, 7 P, 8 T
Step 5: Placing Q using R's neighbours
Clue 5 states "Q is not an immediate neighbour of R". R is at Seat 1. Its immediate neighbours are Seat 8 and Seat 2. Therefore, Q cannot be in Seat 8 or Seat 2.
We know T is at Seat 8. The remaining available seats for Q and the last person (W) are Seat 2 and Seat 4. Since Q cannot be in Seat 2 (neighbor of R), Q must be in Seat 4.
This leaves Seat 2 for W.
Final Seating Arrangement
The final arrangement clockwise is:
| Seat | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Person | R | W | V | Q | U | S | P | T |
Determining Who is Third to the Left of V
The question asks who is sitting third to the left of V.
- V is sitting at Seat 3.
- The person first to the left of V (Seat 3) is at Seat 2, which is W.
- The person second to the left of V (Seat 3) is at Seat 1, which is R.
- The person third to the left of V (Seat 3) is at Seat 8.
According to our final arrangement, the person at Seat 8 is T.
Therefore, T is sitting third to the left of V.
Similar Questions
Who faces W?
How many students are between W and R when counted from the left of W?
The same number of students are sitting between Y and ____ as that of between U and W.
Who is sitting to the immediate right of Q?
Four of the following five are alike in a certain way based on their seating position and thus form a group. Which of the following does not belong to the group?
Who is sitting opposite Q?
How many persons sits in the row?
How many persons sits to the right of Q?
Who sits third to the right of U?
Which of the following statements is true regarding M?
Important Questions from Seating Arrangement
Five friends, Bhumika, Rashi, Shweta, Vibha and Arunima, are sitting in a row facing east. Bhumika is sitting between Vibha and Shweta. Rashi is second to the left of Shweta. Who is sitting at the south end?
O, P, Q, R, S, T and U are sitting in a row facing north. U is sitting to the immediate right of T. Q is sitting in between R and O. P, who is on the extreme right, is sitting to the immediate right of O. S is sitting to the immediate left of R. Who is sitting in the middle of the row ?
Six friends are sitting in a straight line. E is 4th from the right. E is between B and D. A is adjacent to B. D is adjacent to C. D is between E and C. F is adjacent to C. Who is sitting between F and D?
In hall there are seven children (including girls and boys) P, Q, R, S, T, U and V. They sit on three benches I, II and III. Such that at least two children on each bench and at least one girl on each bench. R who is a girl child, does not sit with P, T and S. U the boychild sit with only Q. P sits on the bench I with his best friends. V sits on the bench III. T is the brother of R. Who sits with R?
- Five people Palak, Karol, Risha, Saloni and Tishaare travelling in a car. The car has two seats in the front and three at the back. Rishais driving the car. Palak wants to sit at one of the window seats at the back of the car. Tisha wants to sit next to Palak. Karol hates Tisha and will not sit with Tisha. Who is sitting next to the driver ?
