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

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

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

100+50+50

4

, i.e. 50 particles
Series will be 100,50,50,50,....
It is given,
100+(m−1)50=1000
m=19
The answer is option A.