In the following question, some statements are given followed by some…
2021
In the following question, some statements are given followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. All F are C. II. No D is F. Conclusions: I. Some C are F. II. All C are D. III. No F is D.
- A.
Both conclusions I and II follow
- B.
Only conclusion III follows
- C.
Both conclusions I and III follow
- D.
All conclusions follow
Attempted by 80 students.
Show answer & explanation
Correct answer: C
1. Evaluate Statement I ("All F are C"): This implies F is a subset of C. Consequently, the reverse holds true partially: "Some C are F". Thus, Conclusion I follows.
2. Evaluate Statement II ("No D is F"): This establishes a negative relationship between D and F. Its direct conversion is "No F is D". Thus, Conclusion III follows.
3. Evaluate Conclusion II ("All C are D"): Since we know some C are F (from Step 1), and no F can be D (from Step 2), it is impossible for *all* C to be D. Thus, Conclusion II does not follow.
Final Answer: Option C