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Binomial Theorem question

2023 · 30 Jan · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 30 Jan · Shift 2 · Q35

Binomial Theorem question

2023 · 30 Jan · Shift 2 · Q35

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

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

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