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.
Statements: Some professors are doctors. All the doctors are patients.
Conclusions: 1. Some professors are patients. 2. No doctor is professor.
Show Hint
- Only (1) conclusion follows
- Only (2) conclusion follows
- Neither (1) nor (2) follow
- Both (1) and (2) follow
The Correct Option is A
Solution and Explanation
Syllogism: Analyze the overlap between sets.
Step 2: Detailed Explanation:
1. Professors $\cap$ Doctors = Some.
2. Doctors $\subset$ Patients.
3. Therefore, the Professors that are Doctors must also be Patients. Thus, Some Professors are Patients (1 follows).
4. "No doctor is professor" contradicts "Some professors are doctors" (2 does not follow).
Step 3: Final Answer:
Only (1) follows.
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