Correct Option (B)
To ascertain the minimum number of possible working days in any month of any year, one must consider the shortest possible month, which is February in a non-leap year, comprising 28 days.
Under the given holiday conditions:
- A 28-day month invariably contains 4 Sundays. Since all Sundays are designated holidays, this accounts for 4 holidays.
- A 28-day month invariably contains 4 Saturdays. The second and fourth Saturdays are designated holidays, accounting for 2 holidays.
The total number of holidays in such a month is 4 (Sundays) + 2 (Saturdays) = 6 days.
Therefore, the minimum number of working days = Total days in month - Total holidays = 28 - 6 = 22 days.
Incorrect Options:
Options 23, 21, and 20 are incorrect as they do not represent the minimum possible working days under the specified holiday rules.
- A month with 23 working days would imply only 5 holidays (28 - 23 = 5). This contradicts the minimum of 6 guaranteed holidays (4 Sundays + 2 Saturdays) in a 28-day month.
- A month with 21 working days would imply 7 holidays (28 - 21 = 7). While some months might have more than 6 holidays (e.g., 5 Sundays or 5 Saturdays), the question asks for the minimum working days, which corresponds to the scenario with the fewest possible holidays. In a 28-day month, the maximum number of holidays under the given rules is 6.
- A month with 20 working days would imply 8 holidays (28 - 20 = 8). This number of holidays is not attainable in a 28-day month under the specified holiday criteria (maximum 6 holidays).