Statements:\nI. All students in my class are intelligent.\nII. Sunil is not intelligent.\n\nConclusions:\nI. Sunil is not a student of my class.\nII. Sunil must work hard.\n\nWhich conclusion(s) logically follow(s)?

Difficulty: Easy

Correct Answer: Only Conclusion I follows

Explanation:


Introduction / Context:
Classic syllogism: “All A are B”; “C is not B” ⇒ “C is not A.”


Given Data / Assumptions:

  • All students in my class (set A) are intelligent (set B).
  • Sunil ∉ B (not intelligent).


Concept / Approach:
Contrapositive reasoning: If Sunil were a student in my class, he would be intelligent. He is not; therefore, he is not a student in my class.


Step-by-Step Solution:

• Conclusion I: Follows by contrapositive.• Conclusion II: “Must work hard” is a recommendation, not a logical necessity from the premises.


Final Answer:
Only Conclusion I follows.

More Questions from Statement and Conclusion

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