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Statements: I. All students in my class are intelligent. II. Sunil is not intelligent. Conclusions: I. Sunil is not a student of my class. II. Sunil must work hard. Which conclusion(s) logically follow(s)?

Difficulty: Easy

Only Conclusion I follows
Only Conclusion II follows
Both Conclusions I and II follow
Neither Conclusion I nor II follows
Either I or II follows

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.

Statements: I. All students in my class are intelligent. II. Sunil is not intelligent. Conclusions: I. Sunil is not a student of my class. II. Sunil must work hard. Which conclusion(s) logically follow(s)?

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