Direction: Study the following information to answer the given questions: Eight students U, V, W, X, Y, P, R and S are sitting around the square table. Four students are sitting on the corners while four are sitting in the middle of the sides of the table. Students on each corner facing away from the centre while students on each side facing towards the centre. Two students sit between P and X who sits third to the right of Y. U and V sit opposite to each other. U does not sit adjacent to Y. The same number of people sit between R and S as that of between Y and S. W faces the centre.
Who faces W?
X
Decoding the Seating Clues
Let's break down the information provided:- Students & Table: 8 students (U, V, W, X, Y, P, R, S) around a square table.
- Seat Types: 4 corners (facing away) and 4 sides (facing center).
- Clue 1: "X sits third to the right of Y." This establishes a relative position between Y and X.
- Clue 2: "Two students sit between P and X." This links P's position relative to X.
- Clue 3: "U and V sit opposite to each other." They occupy seats directly across the table.
- Clue 4: "U does not sit adjacent to Y." This prevents U from being in seats immediately next to Y.
- Clue 5: "The same number of people sit between R and S as that of between Y and S." This is a crucial constraint for placing R and S.
- Clue 6: "W faces the centre." This confirms W must be seated on one of the sides.
Determining the Seating Arrangement
We need to find an arrangement that satisfies all these conditions. Let's denote the seats clockwise: Top Side (S1), Top-Right Corner (C1), Right Side (S2), Bottom-Right Corner (C2), Bottom Side (S3), Bottom-Left Corner (C3), Left Side (S4), Top-Left Corner (C4). 1. Initial Placement (Y and X): Let's test placing Y at a corner, say C1 (Top-Right), which faces away. * Following "X sits third to the right of Y": Y(C1) -> S2 (1st right) -> C2 (2nd right) -> S3 (3rd right). So, X sits at S3 (Bottom side), facing the center. * Current state: Y(C1), X(S3). 2. Placing P: Using "Two students sit between P and X". X is at S3. * Clockwise from X(S3): S3 -> C3 (1st seat) -> S4 (2nd seat) -> C4 (3rd seat). So P is at C4 (Top-Left corner), facing away. The students between X and P are at C3 and S4. This fits the clue. * Counter-clockwise from X(S3): S3 -> C2 (1st seat) -> S2 (2nd seat) -> C1 (3rd seat). P would be at C1. However, Y is already at C1. This path is invalid. * So, P must be at C4. * Current state: Y(C1), X(S3), P(C4). 3. Placing U and V: "U and V sit opposite each other." The opposite pairs are (S1, S3), (S2, S4), (C1, C3), (C2, C4). * X is at S3 (opposite S1). Y is at C1 (opposite C3). P is at C4 (opposite C2). * The remaining opposite pairs are (S2, S4) and (C2, C3). * So, {U, V} must be either {S2, S4} or {C2, C3}. 4. Using the Adjacency Clue: "U does not sit adjacent to Y." Y is at C1. The adjacent seats are S1 and S2. * This means U cannot be at S2. * If {U, V} = {S2, S4}, then U must be S4 and V must be S2. * If {U, V} = {C2, C3}, U could be C2 or C3. Neither is adjacent to Y(C1). 5. Placing W: "W faces the centre." W must be on a side seat (S1, S2, S3, S4). * We know X is at S3. So W must be at S1, S2, or S4. 6. Using the Count Clue: "Count(R, S) = Count(Y, S)". Y is at C1. * Let's test the possibilities for U and V. * Scenario A: Assume {U, V} = {S2, S4}. Since U cannot be S2 (adjacent to Y), U=S4 and V=S2. * Arrangement so far (Clockwise): S1, Y(C1), V(S2), C2, X(S3), C3, P(C4), U(S4). * Remaining seats for W, R, S are S1, C2, C3. * W faces center, so W must be S1. * Remaining students R, S must be in C2, C3. * Possibility A1: R(C2), S(C3). * Final Arrangement: W(S1), Y(C1), V(S2), R(C2), X(S3), S(C3), P(C4), U(S4). * Check Count(R, S): R(C2), S(C3). Between them is X(S3). Count = 1. * Check Count(Y, S): Y(C1), S(C3). Between them are V(S2) and R(C2). Count = 2. * Counts (1 != 2) do not match. * Possibility A2: R(C3), S(C2). * Final Arrangement: W(S1), Y(C1), V(S2), S(C2), X(S3), R(C3), P(C4), U(S4). * Check Count(R, S): R(C3), S(C2). Between them is X(S3). Count = 1. * Check Count(Y, S): Y(C1), S(C2). Between them is V(S2). Count = 1. * Counts (1 = 1) MATCH. * This arrangement fits all clues. 7. Final Arrangement Check: * W(S1, Center), Y(C1, Away), V(S2, Center), S(C2, Away), X(S3, Center), R(C3, Away), P(C4, Away), U(S4, Center). * All directions match side/corner rules. * X(S3) is 3rd right of Y(C1). Correct. * 2 students (R, C3) between P(C4) and X(S3). Correct. * U(S4) and V(S2) are opposite. Correct. * U(S4) is not adjacent to Y(C1). Correct. * Count(R, S) = 1, Count(Y, S) = 1. Correct. * W(S1) faces center. Correct. 8. Answering the Question: "Who faces W?" * W is seated at S1 (Top side). * The seat opposite S1 is S3 (Bottom side). * X is seated at S3. * Therefore, X faces W.| Seat | Student | Facing |
| S1 (Top) | W | Center |
| C1 (Top-Right) | Y | Away |
| S2 (Right) | V | Center |
| C2 (Bottom-Right) | S | Away |
| S3 (Bottom) | X | Center |
| C3 (Bottom-Left) | R | Away |
| C4 (Top-Left) | P | Away |
| S4 (Left) | U | Center |
Similar Questions
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?
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 ?
