Directions: Read the instructions carefully and answer the question below.
Who is sitting opposite Q?
T
Seating Arrangement Logic Explained
This problem involves arranging eight people (P, Q, R, S, T, U, V, W) around a circular table facing the center. We need to determine who sits opposite Q based on the given clues.
Deduce Initial Placements
Let's assign seat numbers from \(1\) to \(8\) in a clockwise direction around the table. We'll use these numbers to track the positions.
- Place R at an arbitrary seat, say seat \(1\).
- Clue: "S is sitting third to the left of R." Since everyone faces the center, 'left' is counter-clockwise.
- 1st person to R's left is at seat \(8\).
- 2nd person to R's left is at seat \(7\).
- 3rd person to R's left is at seat \(6\).
Therefore, S is at seat \(6\).
Current arrangement (clockwise): R (seat \(1\)), _, _, _, _, S (seat \(6\)), _, _.
- Clue: "U and P are the immediate neighbours of S." S is at seat \(6\). Its immediate neighbours are seats \(5\) and \(7\).
So, U and P occupy seats \(5\) and \(7\). We have two possibilities: {U at \(5\), P at \(7\)} or {P at \(5\), U at \(7\)}.
Determine Positions using Further Clues
Now, let's use the remaining clues to resolve the positions of U, P, and others.
- Clue: "U is sitting second to the right of V." 'Right' is clockwise.
- Let's test the first possibility for U and P: P is at seat \(5\), U is at seat \(7\).
Arrangement: R(seat \(1\)), _, _, _, P(seat \(5\)), S(seat \(6\)), U(seat \(7\)), _(seat \(8\)).
If U is at seat \(7\), and U is second to the right of V, then V must be at seat \(5\) (V -> seat \(6\) (1st right) -> seat \(7\) (2nd right)). However, seat \(5\) is occupied by P. This creates a contradiction.
- Let's test the second possibility: U is at seat \(5\), P is at seat \(7\).
Arrangement: R(seat \(1\)), _, _, _, U(seat \(5\)), S(seat \(6\)), P(seat \(7\)), _(seat \(8\)).
If U is at seat \(5\), and U is second to the right of V, then V must be at seat \(3\) (V -> seat \(4\) (1st right) -> seat \(5\) (2nd right)). This is consistent as seat \(3\) is currently empty.
Updated arrangement: R(seat \(1\)), _, seat \(2\), V(seat \(3\)), _, seat \(4\), U(seat \(5\)), S(seat \(6\)), P(seat \(7\)), _(seat \(8\)).
- Let's test the first possibility for U and P: P is at seat \(5\), U is at seat \(7\).
- Fill the remaining seats with the remaining people (Q, T, W). The empty seats are \(2\), \(4\), and \(8\).
- Clue: "T is not an immediate neighbour of V." V is at seat \(3\). Its neighbours are seats \(2\) and \(4\).
T cannot be in seat \(2\) or seat \(4\). The only remaining seat for T is seat \(8\).
Updated arrangement: R(seat \(1\)), _(seat \(2\)), V(seat \(3\)), _(seat \(4\)), U(seat \(5\)), S(seat \(6\)), P(seat \(7\)), T(seat \(8\)).
- Now, seats \(2\) and \(4\) must be filled by Q and W.
- Clue: "Q is not an immediate neighbour of R." R is at seat \(1\). Its neighbours are seats \(2\) and \(8\).
Q cannot be in seat \(2\) (seat \(8\) is occupied by T). Therefore, Q must be in seat \(4\).
This leaves seat \(2\) for W.
Final Seating Arrangement
The complete seating arrangement in clockwise order is:
R, W, V, Q, U, S, P, T
(Positions: R(seat \(1\)), W(seat \(2\)), V(seat \(3\)), Q(seat \(4\)), U(seat \(5\)), S(seat \(6\)), P(seat \(7\)), T(seat \(8\)) )
Identify Person Opposite Q
The question asks who is sitting opposite Q.
- Q is at seat \(4\).
- In a circle of \(8\) seats, the seat opposite seat 'n' is seat 'n + \(4\)' (modulo \(8\), adjusted to \(1\)-\(8\) range).
- Seat opposite Q (seat \(4\)) is seat \(4 + 4 = 8\).
- The person at seat \(8\) is T.
Therefore, T is sitting opposite Q.
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?
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?
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 ?
