Workday deduction with holidays – Seema took leave after 21 Oct and before 27 Oct. Rita took leave on 23 Oct but Seema was present that day. 24 Oct was a public holiday and 26 Oct was Sunday. On which day did Seema take leave?

Difficulty: Easy

Correct Answer: 22nd or 25th October

Explanation:

Introduction / Context:We narrow a leave window using attendance information and non-working days. “Leave” is taken on working days, so public holidays and Sundays are typically excluded.

Given Data / Assumptions:

  • Seema’s leave: after 21st and before 27th → {22,23,24,25,26}.
  • Seema was present on 23rd (Rita’s leave day) → remove 23.
  • 24th is a public holiday → generally not a leave day.
  • 26th is Sunday → not a working day.

Concept / Approach:Eliminate non-working days and known present days from the allowable window. Remaining feasible working days are the answer.

Step-by-Step Solution:Start set: {22,23,24,25,26}.Remove 23 (present), 24 (holiday), 26 (Sunday).Remaining: {22, 25}.

Verification / Alternative check:Both 22 and 25 lie strictly between 21 and 27, and neither conflicts with given facts.

Why Other Options Are Wrong:Only 22 or only 25 is too specific; the data allow both.

Common Pitfalls:Keeping 24 (holiday) or 26 (Sunday) as potential leave days.

Final Answer:22nd or 25th October

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