Let $x=(8 \sqrt{3}+13)^{13}$ and $y=(7 \sqrt{2}+9)^9$. If $[t]$ denotes the greatest integer $\leq t$, then :

Question

$[x]$ is odd but $[y]$ is even

$[x]$ and $[y]$ are both odd

$[x]+[y]$ is even

$[x]$ is even but $[y]$ is odd

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