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Five friends X, Y, Z, W and V are sitting in a row. X and Y sit at the extreme ends. Z sits to the immediate left of W. V sits to the immediate right of Y. Who is sitting in the exact middle of the row?
W
Z
V
X
W
Identify the extreme ends first to lock the frame, then fill the chain Z-W inside the remaining spots.
Identify the extreme ends first to lock the frame, then fill the chain Z-W inside the remaining spots.
Establish the framework
Given X and Y are at the extreme ends. This gives two scenarios: (1) X _ _ _ Y or (2) Y _ _ _ X.
Apply positional constraints
V sits to the immediate right of Y. In scenario (1), V cannot be placed because Y is at the end. In scenario (2), placing V to the right of Y is impossible as Y is at the right end. Therefore, Y must be at the left end: YV _ _ X. The remaining friends are Z and W, with the condition that Z is to the immediate left of W, which fits the pattern: Y, V, Z, W, X.
Identify the middle position
The final arrangement is Y, V, Z, W, X. The friend in the 3rd position (exact middle) is Z.
A: W is at position 4. C: V is at position 2. D: X is at position 5. The official answer key provided was incorrect based on logical deduction.
B is correct because the arrangement is Y-V-Z-W-X, placing Z in the 3rd position.
Always draw out the two potential end-point scenarios immediately; it prevents confusion when placing friends with specific relative directions.