Calendar / first working day logic: Ketan takes casual leave only on the first working day of every month. Saturdays and Sundays are weekly offs. In a 30-day month, the first working day was Tuesday. On which day will his next month’s casual leave fall?

Difficulty: Medium

Correct Answer: Thursday

Explanation:


Introduction / Context:
We are to shift the calendar from one month to the next, respecting the 7-day cycle and identifying the next month’s first working day (non-Sat/Sun).



Given Data / Assumptions:

  • This month has 30 days.
  • This month’s first working day is Tuesday (hence the 1st is Tuesday and is a working day).
  • Sat/Sun are off; all other weekdays are working.


Concept / Approach:
Day-of-week advances by (month_length mod 7). For a 30-day month, the next month’s 1st is 2 weekdays ahead of this month’s 1st.



Step-by-Step Solution:

This month’s 1st: Tuesday.30 ≡ 2 (mod 7) ⇒ next month’s 1st = Tuesday + 2 = Thursday.Thursday is a working day ⇒ Ketan’s leave is Thursday.


Verification / Alternative check:
Enumerate: Tue(1st), …, the following month’s 1st indeed lands on Thu with a 30-day shift.



Why Other Options Are Wrong:
They correspond to incorrect mod-7 shift or assume weekends interfere (they do not, since Thu is not a weekend).



Common Pitfalls:
Forgetting that only the first day’s weekday matters; weekend filtering applies only if the first lands on Sat/Sun.



Final Answer:
Thursday

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