Is the integral part of (a + sqrt b)^n odd or even

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

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1. A.
   Both Statement I and Statement II are false.
2. B.
   Both Statement I and Statement II are true.
3. C.
   Statement I is false but Statement II is true.
4. D.
   Statement I is true but Statement II is false.

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