1. Tardigrade
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  4. Let [(5+√b)n]= N where b , n are natural number and |5-√ b |<1. If b and n are picked randomly, then the probability that N is odd, belongs to set (where [.] denotes the greatest integer function)

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Q. Let $\left[(5+\sqrt{b})^n\right]= N$ where $b , n$ are natural number and $|5-\sqrt{ b }|<1$. If $b$ and $n$ are picked randomly, then the probability that $N$ is odd, belongs to set (where [.] denotes the greatest integer function)

Binomial Theorem

Solution:

Correct answer is (c) $\left[\frac{1}{2}, \frac{3}{4}\right)$