Statements: A) No teacher comes to the school on a bicycle. B) Anand comes to the school on a bicycle. Conclusions: I) Anand is not a teacher. II) Anand is a student.

Introduction / Context:This is a classic categorical reasoning problem involving a universal negative and a particular instance. We test which conclusions necessarily follow from the premises without importing extra labels (like “student”).

Given Data / Assumptions:

• Premise A: No teacher uses a bicycle to come to school (Teachers ⇒ not bicycle-users).
• Premise B: Anand comes to school by bicycle (Anand is a bicycle-user).

Concept / Approach:From “No teacher is a bicycle-user” and “Anand is a bicycle-user,” we can infer “Anand is not a teacher” (valid by contrapositive / set exclusion). However, nothing is said about Anand’s other possible roles (student, staff, visitor, etc.).

Step-by-Step Solution:1) Using A and B: If all Teachers ⊆ (not BicycleUsers), then any BicycleUser ∉ Teachers. Since Anand ∈ BicycleUsers, Anand ∉ Teachers ⇒ Conclusion I follows.2) Conclusion II (“Anand is a student”) adds a category never mentioned in the premises. It does not follow.

Verification / Alternative check:A simple Venn diagram confirms: Anand lies in BicycleUsers; Teachers is a disjoint set from BicycleUsers. Membership in “Student” is undecidable.

Why Other Options Are Wrong:“Both” and “II alone” overreach; “both cannot” ignores the valid exclusion inference for I.

Common Pitfalls:Assuming a school-goer riding a bicycle must be a student. The premises do not justify that leap.

Final Answer:Conclusion I alone can be drawn.