JEE Math Practice Question

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

1. A.$[x]$ is odd but $[y]$ is even
2. B.$[x]$ and $[y]$ are both odd
3. C.$[x]+[y]$ is even
4. D.$[x]$ is even but $[y]$ is odd