Premises — All students in my class are intelligent. Koushik (Kaushik) is not intelligent.\nQuestion — What conclusion necessarily follows?

Difficulty: Easy

Correct Answer: Koushik is not a student of my class.

Explanation:


Introduction / Context:
This is a classic categorical syllogism. The major premise says, “All students in my class are intelligent.” The second premise says, “Koushik is not intelligent.” We must identify what conclusion is forced by these two statements without importing outside facts.



Given Data / Assumptions:


  • Set S = {students in my class}.
  • Property I = “intelligent.”
  • Premise 1: For every x in S, x has property I.
  • Premise 2: Koushik does not have property I.


Concept / Approach:
From Premise 1, membership in S implies intelligent. Contraposition: if someone is not intelligent, they cannot be in S. Applying to Koushik (not intelligent) yields: Koushik ∉ S (i.e., not a student of my class). Avoid universal claims about all students or all non-intelligent people; stick to what follows for Koushik.



Step-by-Step Solution:


All S → I.Koushik is ¬I.Therefore Koushik is ¬S (not in the class). This is the only necessary conclusion.


Verification / Alternative check:
Suppose for contradiction Koushik were in the class. Then by Premise 1 he would be intelligent, contradicting Premise 2. Hence he cannot be in the class.



Why Other Options Are Wrong:


A: “Some students are not intelligent” contradicts Premise 1.B: “Non-intelligent are not students” is too broad; the premises speak only about “students in my class,” not all students everywhere.D: Claims intelligence for everyone else globally; not supported.E: Incorrect because C necessarily follows.


Common Pitfalls:
Generalizing beyond the stated set (“my class”) and confusing “some” with “all.”



Final Answer:
Koushik is not a student of my class.

More Questions from Statement and Conclusion

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion