Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certain amount of impurity $\text{(I)}.$ Visually it is not possible to distinguish between $\text{P}$ and $\text{I}.$ There is a testing device which detects impurity, as long as the percentage of impurity in the content tested is $10 \%$ or more.
For example, suppose bottle $1$ contains only $\text{P},$ and bottle $2$ contains $80 \% \; \text{P} $ and $20 \% \; \text{I}.$ If content from bottle $1$ is tested, it will be found out that it contains only $\text{P}.$ If content of bottle $2$ is tested, the test will reveal that it contains some amount of $\text{I}.$ If $10 \; \text{ml}$ of content from bottle $1$ is mixed with $20 \; \text{ml}$ content from bottle $2,$ the test will show that the mixture has impurity, and hence we can conclude that at least one of the two bottles has $\text{I}.$ However, if $10 \; \text{ml}$ of content from bottle $1$ is mixed with $5 \; \text{ml}$ of content from bottle $2,$ the test will not detect any impurity in the resultant mixture.
$5 \; \text{ml}$ of content from bottle $\text{A}$ is mixed with $5 \; \text{ml}$ of content from bottle $\text{B}.$ The resultant mixture, when tested, detects the presence of $\text{I}.$ If it is known that bottle $\text{A}$ contains only $\text{P},$ what $\text{BEST}$ can be concluded about the volume of $\text{I}$ in bottle $\text{B}$?
- $1 \; \text{ml}$
- Less than $1 \; \text{ml}$
- $10 \; \text{ml}$
- $10 \; \text{ml}$ or more