Statements: 1) Some girls are stars. 2) Meena is a girl. Conclusions: I. Meena is a star. II. Some stars are not girls. Choose the option that must follow.

Introduction / Context:
Here we mix a particular statement about the class of girls with a singular statement about an individual (Meena). The challenge is to distinguish what is guaranteed from what merely could be true.

Given Data / Assumptions:

• Some Girls are Stars: ∃x ∈ Girls ∩ Stars.
• Meena ∈ Girls.

Concept / Approach:
From “Some Girls are Stars” we know at least one girl is a star, but we do not know which girl. Without a premise linking Meena to the specific subset of star-girls, we cannot affirm that Meena is a star. Likewise, statements about stars outside the class of girls need dedicated evidence.

Step-by-Step Solution:
1) Conclusion I (“Meena is a star”): The witness for “some girls are stars” could be someone other than Meena. Hence I is not necessary.2) Conclusion II (“Some stars are not girls”): Nothing indicates stars outside Girls. It could be that all stars are girls or that some are not— the premises are silent. Therefore II is not necessary.

Verification / Alternative check:
Model A: Girls = {Meena, G2}; Stars = {G2}. Premises hold; I is false; II may or may not be true depending on whether there exist non-girl stars. Model B: Stars = {Meena}; then I true and II false. Because truth values can vary while premises remain true, neither conclusion follows necessarily.

Why Other Options Are Wrong:
Any option asserting I or II assumes information not fixed by the premises.

Common Pitfalls:
Equating “some” with a specific named individual and assuming outside elements without explicit evidence.

Final Answer:
Neither Conclusion I nor II follows.