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

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:

  • I: {26, 27, 28}.
  • II: {28, 29, 30}.


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:

  • A/B/C/E: Neither statement alone suffices; together they yield a single date.


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


Final Answer:
D — Both statements together are necessary (date = 28th).

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