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 t...

Question

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 East of Z. X is to the West of Y. Which is the building in the middle?

A. V
B. W
C. X
D. Y

Accepted Answer

The building in the middle is V. Five buildings are arranged in a single straight row running West to East. We are given pairwise direction relationships (each 'A is to the West of B' means A appears to the left of B in the row). Combining all constraints produces a unique linear order, and the building at position 3 out of 5 is in the middle.

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 East of Z. X is to the West of Y. Which is the building in the middle? A. V B. W C. X D. Y