Calendars — On which day of the week is Arti's birthday? Statements: I. Arti's birthday is after Wednesday but before Sunday. II. Arti's birthday is after Friday but before Tuesday.

Introduction / Context:We must uniquely identify a weekday using two range constraints.

Given Data / Assumptions:

• Week sequence: Mon, Tue, Wed, Thu, Fri, Sat, Sun.
• I: Day ∈ {Thu, Fri, Sat}.
• II: Day ∈ {Sat, Sun, Mon}.

Concept / Approach:Intersect the candidate sets from both statements.

Step-by-Step Solution:

Verification / Alternative check:No other day satisfies both inequalities simultaneously; the intersection is a singleton.

Why Other Options Are Wrong:

• I alone: three possibilities remain.
• II alone: three possibilities remain.
• Either alone sufficient: false.
• Both together not sufficient: false.

Common Pitfalls:Misreading boundaries ('after' excludes the day mentioned; 'before' excludes the endpoint).

Final Answer:Both together are sufficient (Saturday).