Let [(5+√b)n]= N where b , n are natural number and |5-√ b |

Question

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) (A) ((3/4), 1] (B)  (3/4)  (C) [(1/2), (3/4)) (D) None of these

Tardigrade Admin · Accepted Answer

Correct answer is (c) [(1/2), (3/4))

Q. 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)

$(\frac{3}{4}, 1]$

${\frac{3}{4}}$

$[\frac{1}{2}, \frac{3}{4})$

None of these

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

Q. 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)

(43​,1]

{43​}

[21​,43​)