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
Seven people, A, B, C, D, E, F and G, are sitting in a straight row facing the north. Only two people sit to the left of C. Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right. Only one person sits to the right of D. F is not an immediate neighbour of B. Who sits at the centre?
P, Q, R and S are sitting on a bench and facing in the same direction. P sits next to Q but not next to R. S, who is sitting on the extreme right, does not sit next to either Q or R. How many of them each have two neighbors?
5 boys A, B, C, D and E are sitting in a row. E is sitting between D and A, B is to the right of A, C is at one of the extreme ends and C and D are sitting next to each other. Which of the following statement is false?
Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?
Seven friends P, Q, R, S, T, U, and V are sitting in a straight line facing north. Q sits fifth to the right of T. Q does not sit at any of the extreme ends. Two people sit between U and R. S sits third to the left of V. S sits exactly in the middle. U is not an immediate neighbour of P.
How many people sit between R and V?
