Two statements are given below followed by two conclusions numbered (1) and (2). Which of the given conclusions logically follows from the two given statements? Please disregard commonly known facts.
Statements: Some professors are doctors. All the doctors are patients. Conclusions: 1. Some professors are patients. 2. No doctor is professor.Let's analyze the statements using Venn diagrams or logical notation. Statement 1: "Some professors are doctors." This means there is an intersection between Professors and Doctors. Statement 2: "All the doctors are patients." This means the entire set of Doctors is inside the set of Patients. Conclusion 1: "Some professors are patients." Since some professors are doctors, and ALL doctors are patients, those specific professors must also be patients. Therefore, Conclusion 1 is definitely TRUE. Conclusion 2: "No doctor is professor." This directly contradicts Statement 1 which establishes that the intersection between doctors and professors exists. Therefore, Conclusion 2 is FALSE. Only conclusion (1) follows.
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