Solve this multiple-choice question and choose the correct option.

Dates — On which exact date of the month is Meena's birthday? Statements: I. Meena's brother: after 25th but before 29th. II. Meena's father: after 27th but before 31st.

Difficulty: Easy

Statement I alone is sufficient; Statement II alone is not sufficient.
Statement II alone is sufficient; Statement I alone is not sufficient.
The Statements I and II together are not sufficient to answer the question.
Both Statements I and II together are necessary to answer the question.
Both Statements I and II together are sufficient, but neither alone is sufficient.

Correct Answer: Both Statements I and II together are necessary to answer the question.

Explanation:

Introduction / Context:We must identify a unique calendar date from two exclusive ranges.

Given Data / Assumptions:

Concept / Approach:Use set intersection of the two candidate sets.

Step-by-Step Solution:

Intersection {26,27,28} ∩ {28,29,30} = {28} ⇒ unique.Individually, each statement leaves multiple possibilities.

Verification / Alternative check:Boundaries 'after' and 'before' are exclusive, ensuring the sets above.

Why Other Options Are Wrong:

Common Pitfalls:Including endpoints (25, 29, 31) contrary to 'after/before' wording.