CAT 2023 Set-2 | Quantitative Aptitude | Question: 14

Question

A container has $40$ liters of milk. Then, $4$ liters are removed from the container and replaced with $4$ liters of water. This process of replacing $4$ liters of the liquid in the container with an equal volume of water is continued repeatedly. The smallest number of times of doing this process, after which the volume of milk in the container becomes less than that of water, is

Comments

the formula i want to remember here is that

quantity after $n$ attempts = $initial\space value*(1- \frac{replaced\space amount}{initial\space amount})^n$ , $n \rightarrow$ numbers of times expreiment is done.