Z, Y, X, W and V are sitting on a sofa facing north. Z is sitting immediately next to Y. X is sitting immediately next to W. V is sitting on the leftmost seat. X is at the second position from the right. Z and X are sitting together. Who is sitting at the middle position?
Z
This question asks us to determine who is sitting in the middle position based on the given clues about the seating arrangement of five people (Z, Y, X, W, and V) on a sofa facing north.
There are five seats on the sofa. Let's label them from left to right as Seat 1, Seat 2, Seat 3, Seat 4, and Seat 5. Since they are facing north, the leftmost seat is Seat 1 and the rightmost seat is Seat 5.
Step-by-Step Seating Arrangement Solution
Let's break down the clues and place the people one by one:
- "V is sitting on the leftmost seat." This means V is at Seat 1.
Current arrangement: V \_ \_ \_ \_ - "X is at the second position from the right." The rightmost seat is Seat 5. The second position from the right is Seat 4. So, X is at Seat 4.
Current arrangement: V \_ \_ X \_
Now we use the clues about people sitting immediately next to each other and sitting together:
- "Z and X are sitting together." This means Z and X are immediately next to each other. Since X is at Seat 4, Z must be at either Seat 3 or Seat 5.
Possible arrangements:
Option A: V \_ Z X \_ (Z at Seat 3)
Option B: V \_ \_ X Z (Z at Seat 5) - "X is sitting immediately next to W." Since X is at Seat 4, W must be at either Seat 3 or Seat 5.
- "Z is sitting immediately next to Y." Since Z is at either Seat 3 or Seat 5, Y must be immediately next to Z.
Let's examine the possibilities based on Z's position:
-
Case 1: Z is at Seat 5 (Option B: V \_ \_ X Z).
- If Z is at Seat 5, Z is immediately next to X (at Seat 4). This fulfills "Z and X are sitting together".
- Z is also immediately next to Y. Since Z is at Seat 5, Y must be at Seat 4. But Seat 4 is already occupied by X. This is a contradiction.
So, Z cannot be at Seat 5.
-
Case 2: Z is at Seat 3 (Option A: V \_ Z X \_).
- If Z is at Seat 3, Z is immediately next to X (at Seat 4). This fulfills "Z and X are sitting together".
- Now consider "X is sitting immediately next to W." X is at Seat 4. W must be at Seat 3 or Seat 5. Since Z is at Seat 3, W must be at Seat 5.
Current arrangement: V \_ Z X W - Finally, consider "Z is sitting immediately next to Y." Z is at Seat 3. Y must be at Seat 2 or Seat 4. Since X is at Seat 4, Y must be at Seat 2.
Final arrangement: V Y Z X W
Let's verify the final arrangement V Y Z X W with all the given clues:
- Z is immediately next to Y? Yes (Y at 2, Z at 3).
- X is immediately next to W? Yes (X at 4, W at 5).
- V is sitting on the leftmost seat? Yes (V at 1).
- X is at the second position from the right? Yes (Seat 5 is rightmost, Seat 4 is second from right).
- Z and X are sitting together? Yes (Z at 3, X at 4).
All clues are satisfied by the arrangement: V Y Z X W.
The seating positions are:
| Seat Position | 1 (Left) | 2 | 3 (Middle) | 4 | 5 (Right) |
|---|---|---|---|---|---|
| Person | V | Y | Z | X | W |
The question asks who is sitting at the middle position. The middle position is Seat 3.
From our arrangement V Y Z X W, the person at Seat 3 is Z.
Revision Table: Key Clues and Deductions
| Clue | Deduction | Partial Arrangement |
|---|---|---|
| V is leftmost | V at Seat 1 | V \_ \_ \_ \_ |
| X is second from right | X at Seat 4 | V \_ \_ X \_ |
| Z and X together | Z is at Seat 3 or 5 | V \_ Z X \_ or V \_ \_ X Z |
| X is next to W | W is at Seat 3 or 5 | |
| Z is next to Y | Y is next to Z | |
| Combining clues & eliminating possibilities | Z at Seat 3 (V \_ Z X \_) leads to W at Seat 5 and Y at Seat 2 | V Y Z X W |
| Identify middle position | Seat 3 |
Based on the final arrangement V Y Z X W, Z is at the middle position (Seat 3).
Additional Information on Seating Arrangement Puzzles
Seating arrangement questions are common in logic and reasoning sections of various exams. They require careful reading and step-by-step deduction.
- Always start with the fixed positions given in the clues (like leftmost, rightmost, specific numbered positions).
- Use clues about immediate neighbors to place people relative to each other.
- Clues like "sitting together" usually mean immediate neighbors.
- If a person is next to two others, they must be in the middle of those two.
- Sometimes, you might have to consider multiple possible scenarios initially and eliminate the ones that contradict other clues.
- Drawing a simple diagram of the seats can be very helpful in keeping track of the arrangement as you deduce it.
Solving such puzzles improves logical thinking and attention to detail, crucial skills for problem-solving.
Important Questions from Linear Arrangement
M, N, L, O, Q and H are sitting in a row. Q and H are in the centre. M and N are at the ends. L is sitting to the immediate left of N. Who is to the right of M?
Five friends, Shruti, Shreya, Anup, Ankit and Kiran, are sitting in a row facing towards the south. Shruti is between Shreya and Anup. Kiran and Shreya are sitting at the extreme ends of the west and east, respectively. Who is sitting in the middle?
Five students are standing in a line. Suman is standing next to Pranav but not next to Deena. Kumar is standing next to Raju, who is standing on the extreme left, and Deena is not standing next to Kumar.
Who is standing in the middle?Eight friends, A, B, C, D, E, F, G and H, are sitting in a straight line, all facing the north. F is sitting between D and G. B is sitting between H and A. E is third to the left of G. G is sitting at one of the corners. H is third to the left of C. Who is sitting between A and E?
Five students are sitting in a row. Akbar is to the left of the person sitting in the middle, but to the right of Sekar. Prakash is to the right of Deva, and Ram is to the right of Prakash. Ram is second from the person sitting in the middle. Who is the person sitting in the middle?
