If second and fourth Saturdays and ,all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year?

To find the minimum number of possible working days, we should consider the month with the fewest days and the arrangement of days that maximizes holidays.

1. Shortest Month: The shortest month is February, which has 28 days in a common year.

2. Number of Sundays and Saturdays in a 28-day month: A 28-day month consists of exactly 4 full weeks. Therefore, it will always have exactly 4 Sundays and exactly 4 Saturdays.

3. Calculate Holidays:

   • All Sundays are holidays: 4 Sundays = 4 holidays.
   • Second and fourth Saturdays are holidays: 2 Saturdays = 2 holidays.
   • Total holidays = 4 (Sundays) + 2 (Saturdays) = 6 holidays.

4. Calculate Minimum Working Days:

   • Total days in the month = 28 days.
   • Total holidays = 6 days.
   • Minimum working days = Total days - Total holidays = 28 - 6 = 22 days.

Even if we consider February in a leap year (29 days), the maximum number of Sundays and Saturdays combined would be 5 of one and 4 of the other.

• If 5 Sundays, 4 Saturdays: 5 (Sundays) + 2 (Saturdays) = 7 holidays. Working days = 29 - 7 = 22.
• If 4 Sundays, 5 Saturdays: 4 (Sundays) + 2 (Saturdays) = 6 holidays. Working days = 29 - 6 = 23. In both scenarios for a 29-day month, the minimum is still 22. Months with 30 or 31 days will always have more working days.

Therefore, the minimum number of possible working days is 22.

The final answer is B) 22.