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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?

  1. $V$
  2. $W$
  3. $X$
  4. $Y$
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