Calendars — On which day did Sourav visit Delhi? Statements: I. Sourav visited after Monday but before Thursday, and not on an odd day of the week. II. Sourav visited before Friday but after Monday.
Correct Answer: Statement I alone is sufficient; Statement II alone is not sufficient.
Introduction / Context:Identify a weekday from range and parity constraints.
Given Data / Assumptions:
- Week sequence assumed: Mon(1), Tue(2), Wed(3), Thu(4), Fri(5), Sat(6), Sun(7).
- I: After Monday and before Thursday, not on an odd day ⇒ candidates from {Tue(2), Wed(3)} but excluding odd ⇒ Tuesday only.
- II: After Monday and before Friday ⇒ {Tue, Wed, Thu} (three possibilities).
Concept / Approach:Use parity information in I to isolate a single day.
Step-by-Step Solution:
From I alone: Tuesday is uniquely determined.From II alone: three possible days remain; insufficient.Verification / Alternative check:If one numbers days differently, parity could change; however, the conventional numbering (Mon=1) is standard for such DS problems and is implied by the typical 'odd/even day' phrasing.
Why Other Options Are Wrong:
- II alone: multiple candidates.
- Either alone / Both together not sufficient / Both together sufficient: inconsistent with the unique determination by I.
Common Pitfalls:Including Thursday in I's range ('before Thursday' excludes Thursday); misinterpreting 'odd day' without a day index convention.
Final Answer:Statement I alone is sufficient; Statement II alone is not sufficient. (Tuesday)