There are five buildings called V, W, X, Y and Z in a row (not necessarily in that order). V is to the West of W. Z is to the East of X and the West of V, W is to the West of Y. Which is the building in the middle?

Determining the Middle Building in a Linear Arrangement

This problem involves spatial reasoning to figure out the order of five buildings (V, W, X, Y, and Z) arranged in a row from West to East. We need to use the given clues to establish the sequence and identify the building in the middle position.

Analyzing the Positional Clues

Let's break down each clue to understand the relative positions:

- Clue 1: V is to the West of W. This means V comes before W when looking from West to East. Sequence: V ... W
- Clue 2: Z is to the East of X. This means X comes before Z. Sequence: X ... Z
- Clue 3: Z is to the West of V. This means Z comes before V. Sequence: Z ... V
- Clue 4: W is to the West of Y. This means W comes before Y. Sequence: W ... Y

Combining Clues for the Full Sequence

Now, let's combine these relationships:

- From Clues 2 and 3 (X ... Z and Z ... V), we get the order: X ... Z ... V
- From Clue 1 (V ... W) and the sequence above, we add W to the East of V: X ... Z ... V ... W
- From Clue 4 (W ... Y) and the sequence above, we add Y to the East of W: X ... Z ... V ... W ... Y

Therefore, the complete arrangement of the buildings from West to East is:

X - Z - V - W - Y

Identifying the Middle Building

There are five buildings in the row. The middle position is the 3rd building in the sequence.

Looking at the established order (X, Z, V, W, Y):

- Westmost (1st): X
- 2nd: Z
- Middle (3rd): V
- 4th: W
- Eastmost (5th): Y

The building in the middle of the row is V.