CAT 2022 Slot 2 Paper

Given, the number of particles on day $1=100$
On day 2 , one out of every 2 articles produces another particle.
The number of particles on day 2 will be $\frac{100}{2}$, i.e. 50 particles
On day 3 , one out of every 3 articles produces another particle.
The number of particles on day 3 will be $\frac{100+50}{3}$, i.e. 50 particles
On day 4 , one out of every 4 articles produces another particle.
The number of particles on day 4 will be $\frac{100+50+50}{4}$, i.e. 50 particles
Series will be $100,50,50,50,...$.
It is given,
$100+\left(\mathit{m}-1\right)50=1000$
$\mathit{m}=19$
The answer is option A.