Question:
If Second Saturday and Sunday of every month is a holiday, then the total number of working days in a month of 31 days beginning with a Wednesday will be
If Second Saturday and Sunday of every month is a holiday, then the total number of working days in a month of 31 days beginning with a Wednesday will be
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For “second Saturday + all Sundays” in a 31-day month, count 4 Sundays and then check which Saturday index is the second; subtract from 31.
Updated On: Jul 15, 2026
- 23
- 24
- 25
- 26
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The Correct Option is D
Approach Solution - 1
Lay out the weekdays for a 31-day month starting on Wednesday:
W, Th, F, Sa, Su, M, Tu, W, Th, F, Sa, Su, M, Tu, W, Th, F, Sa, Su, M, Tu, W, Th, F, Sa, Su, M, Tu, W, Th, F.
Sundays fall on days 5, 12, 19, 26 (four Sundays). Saturdays fall on 4, 11, 18, 25; only the second Saturday is a holiday, i.e., day 11.
Total holidays $= 4$ (Sundays) $+ 1$ (second Saturday) $= 5$.
Working days $=31-5=26$.
W, Th, F, Sa, Su, M, Tu, W, Th, F, Sa, Su, M, Tu, W, Th, F, Sa, Su, M, Tu, W, Th, F, Sa, Su, M, Tu, W, Th, F.
Sundays fall on days 5, 12, 19, 26 (four Sundays). Saturdays fall on 4, 11, 18, 25; only the second Saturday is a holiday, i.e., day 11.
Total holidays $= 4$ (Sundays) $+ 1$ (second Saturday) $= 5$.
Working days $=31-5=26$.
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Approach Solution -2
The question asks for the number of working days in a 31 day month starting on a Wednesday, where every Sunday and only the second Saturday are holidays. Since a month starting on Wednesday has exactly 4 Sundays and 4 Saturdays, with only the second Saturday counted as a holiday, the total number of holidays is fixed at 5. We can check each option against this fixed holiday count.
- 23: This would mean 8 holidays in the month, but the actual holiday count here is 4 Sundays plus 1 second Saturday, which is 5, not 8, so this option is too low.
- 24: This would mean 7 holidays, which again does not match the actual holiday count of 5 for this month.
- 25: This would mean 6 holidays, which would need either 5 Sundays or 2 Saturdays as holidays, but this month has only 4 Sundays and just the second Saturday is a holiday, giving 5, not 6.
- 26: This matches 5 holidays exactly: 4 Sundays, on days 5, 12, 19 and 26, plus the second Saturday, on day 11.
Since the month has a fixed holiday count of 5, the working days total \( 31-5=26 \).
Therefore, the correct answer is 26.
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Approach Solution -3
A 31-day month is 4 complete weeks, 28 days, plus 3 extra days. Starting on a Wednesday, those 3 extra days repeat Wednesday, Thursday and Friday, so those three weekdays occur 5 times each in the month while every other weekday, including Saturday and Sunday, occurs exactly 4 times. We can check each option by working out the holiday count this decomposition implies.
- 23: This implies \( 31-23=8 \) holidays, but the decomposition gives exactly 4 Sundays plus 1 second Saturday, 5 holidays in total, not 8.
- 24: This implies 7 holidays, again more than the 5 the decomposition actually gives.
- 25: This implies 6 holidays, which would need either a 5th Sunday or a 2nd Saturday-holiday on top of another, but Sunday occurs only 4 times in this month and only the second Saturday is a holiday.
- 26: This implies 5 holidays, matching exactly the 4 Sundays (Sunday is not one of the 3 extra weekdays, so it occurs only 4 times) plus the single second Saturday.
Since Sunday occurs 4 times and only the second Saturday among the 4 Saturdays is a holiday, the month has exactly 5 holidays and 26 working days.
Therefore, the correct answer is 26.
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