Mathematics · 2023
JEE Main · 30 January 2023, Shift 2 · Q66
Let x=(8 √ 3 +13)^13 and y=(7 √ 2 +9)^9. If [t] denotes the greatest integer ≤ t, then
Let $\displaystyle x=(8 \sqrt{3}+13)^{13}$ and $\displaystyle y=(7 \sqrt{2}+9)^9$. If $\displaystyle [t]$ denotes the greatest integer $\displaystyle \leq t$, then
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle [x]+[y]$ is even
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.