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
Eight friends, A, B, C, D, E, F, G and H, are sitting in two lines of four persons each. Both the lines are facing each other. A is facing D. E is to the immediate left of G. H is to the immediate right of B. C is facing G. F is facing H. B is to the immediate right of the person who is facing G. D is to the immediate left of F. Which four persons are sitting in the same line?
Nine employees, K, L, M, N, O, P, Q, R and S, are sitting in the office in a straight line, all facing the east. O is third to the right of M. K is third to the left of P. Q is between P and S. N is fourth to the right of M. P is to the immediate right of N. R is fourth to the left of O. Which of the following statements is NOT correct?
Eight north-facing restaurants named P, Q, R, S, T, U, V and W are located in a straight line. S is second to the left of T. W is third to the left of P. T is between P and V. S is third to the left of V. W is to the immediate right of U. R is third to the right of P. Who is sitting fourth to the right of S?
Anamika, Gopal, Nischal, Vanmayi, Shresta and Sripad are sitting in a straight line facing the north. Nischal is to the immediate left of Gopal. Shresta is between Anamika and Sripad. Sripad is at the second place from the right end. Four persons are sitting between Nischal and Vanmayi. If Gopal and Sripad interchange their positions, then who will be sitting between Vanmayi and Shresta?
A question is given, followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and select the appropriate answer.
Question: How many people are standing in the row where all people are facing north?
Statements:
(I) A is fourth from the left end; M is second to the right of A; and R is second from the left end.
(II) M is fourth from the right end; only two people Stand between M and B.
