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.

Difficulty: Medium

Correct Answer: Statement I alone is sufficient; Statement II alone is not sufficient.

Explanation:


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)

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