QUESTION

CSAT

Easy

Reasoning

Prelims 2017

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?

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Explanation

Given:

The second and fourth Saturdays are holidays. All Sundays are holidays. Steps to solve:

Number of days in a month:

A month can have 28, 29, 30, or 31 days. For the minimum working days, we need to consider a month with 31 days, as this will give us the maximum number of days to account for. Sundays:

Every Sunday is a holiday. A month with 31 days will have 4 Sundays in most cases (except when the month starts on a Sunday, in which case there would be 5 Sundays). So, there are 4 or 5 Sundays, and each is a holiday. Second and fourth Saturdays:

The second and fourth Saturdays are also holidays, which means two Saturdays are off every month. Working days:

In a month with 31 days, there are 4 or 5 Sundays and 2 Saturdays off. Hence, at least 6 days will be holidays (4 Sundays + 2 Saturdays). The remaining days (316=2531 - 6 = 25) could be working days, but they may include additional holidays if a public holiday occurs on a weekday. Minimum Working Days:

To minimize working days, we consider the scenario where there are no additional public holidays. Thus, after accounting for the second and fourth Saturdays and all Sundays, the minimum working days would be 22.

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