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Binomial Theorem · 2023 · 31 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2023 · 31 Jan · Shift 1
Mathematics
Binomial Theorem

Binomial Theorem · 2023 · 31 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

Q40.The remainder on dividing $5^{99}$ by 11 is .
Mathematics · Binomial Theorem · Numerical
Q42.Let $α > 0$ , be the smallest number such that the expansion of $(x^{\frac{2}{3}} + \frac{2}{x ^{3}})^{30}$ has a term $β x^{- α}, β \in N$ . Then $α$ is equal to .
Mathematics · Binomial Theorem · Numerical