Statements:\nA. All the students in my class are intelligent.\nB. Surbhi is not intelligent.\n\nWhich conclusion necessarily follows?

Difficulty: Easy

Correct Answer: Surbhi is not a student of my class

Explanation:


Introduction / Context:
This is the same logical pattern as a prior item: combining a universal conditional with a specific negation to infer non-membership.


Given Data / Assumptions:

  • Universal: Student(class) ⇒ Intelligent.
  • Specific: Surbhi is not intelligent.


Concept / Approach:
Use the contrapositive of the universal: Not Intelligent ⇒ Not Student(class). Apply it to Surbhi.


Step-by-Step Solution:

From A, derive the contrapositive. From B, apply it. Therefore, Surbhi is not a student of my class.


Verification / Alternative check:
Any model that keeps A true while B holds must place Surbhi outside the set of class students.


Why Other Options Are Wrong:

• (a) Advice, not a deduction.• (c) Contradicts A.• (d) Contradicts the contrapositive.• (e) Unstated.


Common Pitfalls:
Mistaking converse for contrapositive; adding real-world assumptions.


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

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