We need to determine the seating arrangement around a circular table based on the given clues and then find the person third to the left of V.
Circular Table Seating Arrangement
Let's place the individuals step-by-step:
- There are 8 people: S, T, U, V, W, X, Y, Z.
- T's neighbours are Y and V. Let's place T. Its immediate left and right seats are occupied by Y and V (order undetermined yet).
- Z is seated third to the left of T. If T is at position 1, counting left (clockwise): T -> Seat 8 -> Seat 7 -> Seat 6. So, Z is at position 6.
- Z is second to the right of S. If Z is at 6, counting right from S: S -> Seat 5 -> Seat 6. This means S must be at position 4.
- U's neighbours are S and Y. We know S is at position 4. U must be adjacent to S. So, U is either at position 3 or 5. U's other neighbour is Y.
- From the first clue, T (at 1) has neighbours Y and V at positions 2 and 8.
- If Y is at position 8, then U's neighbours would be S (at 4) and Y (at 8). This implies U is at position 5 or 7, which contradicts U needing to be adjacent to both S and Y in the sequence.
- Therefore, Y must be at position 2. This places V at position 8.
- Now, U's neighbours are S (at 4) and Y (at 2). U must be between them, placing U at position 3.
- Current arrangement (clockwise): T (1), Y (2), U (3), S (4), ? (5), Z (6), ? (7), V (8).
- The remaining people are W and X. The remaining seats are 5 and 7.
- T and W are not seated opposite each other. The seat opposite T (at 1) is position 5. Therefore, W cannot be at position 5.
- W must be at position 7.
- This leaves X for position 5.
Final Seating Arrangement
The final clockwise arrangement is:
| Position 1: T | Position 2: Y | Position 3: U | Position 4: S | Position 5: X | Position 6: Z | Position 7: W | Position 8: V |
Determine Who is Third to the Left of V
V is at position 8.
Counting third to the left of V (clockwise direction):
- 1st left of V (8) is W (at 7).
- 2nd left of V (8) is Z (at 6).
- 3rd left of V (8) is X (at 5).
Therefore, X is third to the left of V.
Important Questions from Seating Arrangement
- P and Q have been allotted a hostel room with two beds, a study table, and an almirah. P is an avid bird-watcher and wants to sit at the table and watch birds outside the window. Q does not mind that as long as his bed is close to the ceiling fan.
Which one of the following arrangements suits them the most? Seven cars P, Q, R, S, T, U and V are parked in a row not necessarily in that order. The cars T and U should be parked next to each other. The cars S and V also should be parked next to each other, whereas P and Q cannot be parked next to each other. Q and S must be parked next to each other. R is parked to the immediate right of V. T is parked to the left of U.
Based on the above statements, the only INCORRECT option given below is:- P, Q, R, S, T and U are seated around a circular table. R is seated two places to the right of Q. P is seated three places to the left of R. S is seated opposite U. If P and U now switch seats, which of the following must necessarily be true?
Five persons P, Q, R, S and T are sitting in a row not necessarily in the same order. Q and R are separated by one person, and S should not be seated adjacent to Q.
The number of distinct seating arrangements possible is:
- Five persons P, Q, R, S and T are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and T cannot be seated at either end of the row. P should not be seated adjacent to S. R is to be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is:
