Let x = ( 8√3+13)¹³ and y = ( 7√2+9)⁹. If [t] denotes the greates… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 30 January, Shift 2Complex Numbers Basics

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

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

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