Statements: A. All the students in my class are intelligent. B. Surbhi is not intelligent. Which 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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