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?
Ans: A. V
Given order: (West on left) $VW,\quad XZ, \quad ZV,\quad WY$ Considering them together: $XZ,\quad ZV \implies XZV $ $VW, \quad WY\implies VWY$ $XZV, \quad VWY \implies XZVWY$ So, $V$ is the building in the middle.
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