Directions: Read the instructions carefully and answer the question below.
Who is sitting to the immediate right of Q?
U
Understanding the Circular Table Arrangement Puzzle
This problem requires us to determine the seating arrangement of eight people (P, Q, R, S, T, U, V, W) around a circular table based on given directional and relative position clues. The goal is to find who is seated immediately to the right of Q.
Step-by-Step Deduction of the Seating Arrangement
We will analyze the clues systematically to build the seating order.
- Key Clue Combination (Clues 1 & 3):
- Clue 3 states that U and P are immediate neighbours of S. This implies a block of three people, either P-S-U or U-S-P in sequence around the table.
- Clue 1 states S is third to the left of R. This means R is three positions clockwise from S. If we denote positions clockwise, R is at S+3.
Analyzing Possible Blocks (P-S-U vs U-S-P)
Scenario 1: The block is P-S-U (clockwise)
If the order is P-S-U clockwise, we can represent their relative positions. Let S be at position 0. Then P is at -1 (anti-clockwise) and U is at +1 (clockwise). From Clue 1, R is three positions clockwise from S, so R is at position 3.
The relative sequence is P (-1), S (0), U (1), _, R (3). Mapping this onto 8 seats clockwise: P(1), S(2), U(3), Seat 4, R(5), Seat 6, Seat 7, Seat 8.
- Checking Clue 2: U is second to the right of V. U is at seat 3. For U to be second to the right of V, V must be at seat 1 (V -> Seat 2 -> Seat 3(U)).
- Conflict: Seat 1 is already occupied by P in this scenario. Thus, the P-S-U block arrangement is not possible.
Scenario 2: The block is U-S-P (clockwise)
If the order is U-S-P clockwise, let S be at position 0. Then U is at -1 and P is at +1. From Clue 1, R is three positions clockwise from S, so R is at position 3.
The relative sequence is U (-1), S (0), P (1), _, R (3). Mapping this onto 8 seats clockwise: U(1), S(2), P(3), Seat 4, R(5), Seat 6, Seat 7, Seat 8.
- Applying Clue 2: U is second to the right of V. U is at seat 1. This means V must be at seat 7 (moving counter-clockwise: U is 1st right of Seat 8, U is 2nd right of Seat 7).
- Partial Arrangement: U(1), S(2), P(3), Seat 4, R(5), Seat 6, V(7), Seat 8.
- Applying Clue 4: T is not an immediate neighbour of V. V is at seat 7. Neighbours are Seat 6 and Seat 8. T cannot be in Seat 6 or Seat 8. The remaining available seats are 4, 6, 8. Therefore, T must be in Seat 4.
- Partial Arrangement: U(1), S(2), P(3), T(4), R(5), Seat 6, V(7), Seat 8.
- Applying Clue 5: Q is not an immediate neighbour of R. R is at seat 5. Neighbours are Seat 4 (occupied by T) and Seat 6. Q cannot be in Seat 6. The remaining seats for Q and W are 6 and 8. Since Q cannot be Seat 6, Q must be in Seat 8.
- Final Arrangement: With Q in Seat 8, the last remaining person W must be in Seat 6. The seating order is: U(1), S(2), P(3), T(4), R(5), W(6), V(7), Q(8).
Verification of the Final Arrangement
Let's check if the arrangement U-S-P-T-R-W-V-Q (clockwise) satisfies all clues:
- Clue 1: S(2) is third left of R(5). (R=5, Left: 4(T), 3(P), 2(S)). Correct.
- Clue 2: U(1) is second right of V(7). (V=7, Right: 8(Q), 1(U)). Correct.
- Clue 3: U(1) and P(3) are neighbours of S(2). Correct.
- Clue 4: T(4) is not a neighbour of V(7) (neighbours W(6), Q(8)). Correct.
- Clue 5: Q(8) is not a neighbour of R(5) (neighbours T(4), W(6)). Correct.
All clues are satisfied with this arrangement.
Finding the Person to Q's Right
The final clockwise seating arrangement is U, S, P, T, R, W, V, Q.
The question asks who is sitting to the immediate right of Q.
Q is at position 8. The person to the immediate right is at position 1.
The person at position 1 is U.
Therefore, U is sitting to the immediate right of Q.
Similar Questions
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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 third to the left of V?
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?
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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 ?
