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.

Difficulty: Medium

Statement I alone is sufficient; Statement II alone is not sufficient.
Statement II alone is sufficient; Statement I alone is not sufficient.
Either Statement I alone or Statement II alone is sufficient.
Both Statements I and II together are not sufficient.
Both Statements I and II together are sufficient, but neither alone is sufficient.

Correct Answer: Both Statements I and II together are sufficient, but neither alone is sufficient.

Explanation:

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

Given Data / Assumptions:

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

Step-by-Step Solution:

From I, candidates are Thu/Fri/Sat.From II, candidates are Sat/Sun/Mon.Intersection = {Sat}. Hence, the birthday must be on Saturday.

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

Why Other Options Are Wrong:

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

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