Question

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

• A. $[x]$ is even but $[y]$ is odd
• B. $[x]+[y]$ is even
• C. $[x]$ and $[y]$ are both odd
• D. $[x]$ is odd but $[y]$ is even

Answer 1

Answer: (B)

$[x]+[y]$ is even

Answer 2

The correct option is (B) : [x]+[y] is even