Explanation
1. Analyzing Conclusion D (Direct Inference):
From the premises, we know that some Indian scientists work in America, and every scientist in America is talented. Therefore, logically, those specific Indian scientists must be talented.
Some SI∈SA and SA⊆T⟹Some SI∈T
2. Analyzing Conclusion B (Implicit Inference):
In many logical reasoning tests, "working in America" is treated as synonymous with having "migrated to America" for the sake of the argument. If some talented Indian scientists are working there, the conclusion assumes they moved there to do so.
Working in America≈Migrated to America
Mathematical Representation
Let:
The relationship is expressed as:
This confirms that the subset of Indians working in America belongs to the set of talented people.
Final Answer
Both Conclusion B (Some talented Indian scientists have migrated to America) and Conclusion D (Some Indian scientists are talented) are logically supported by the premises.
Correct Option:
Conclusions B and D only are correct.
