Q270 / 270 · NDA 2023 (Phase 1) · Mathematics

A natural number $n$ is chosen from the first 50 natural numbers. What is the probability that $n+\frac{50}{n} \lt 50$ ?

  • A
    $\frac{23}{25}$
  • Correct answer
    B
    $\frac{47}{50}$
  • C
    $\frac{24}{25}$
  • D
    $\frac{49}{50}$

Solution

$n+\frac{50}{n} \lt 50$ Clearly for $n=1,49,50$ this relation is not true. $\therefore \quad$ Number of favourable values of $n=47$ $\therefore \quad$ Probability $=\frac{47}{50}$

Hence, the correct answer is option: 'B'.

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