Question:medium

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

Step 1: The month has 31 days and starts on a Wednesday. Counting forward, the first Sunday falls on day 5 (Wednesday is day 1, Thursday 2, Friday 3, Saturday 4, Sunday 5).

Step 2: Sundays repeat every 7 days after day 5, giving days 5, 12, 19, 26. Adding 7 more would give day 33, which is beyond 31, so there are exactly 4 Sundays.

Step 3: The first Saturday falls on day 4, one day before the first Sunday, so Saturdays fall on days 4, 11, 18, 25. Only the second Saturday, day 11, is a holiday.

Step 4: Total holidays = \( 4+1=5 \). Working days = \( 31-5=26 \).
\[ \boxed{26 \text{ days}} \]
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Approach Solution -2

Break the 31 days into 4 complete 7-day weeks, 28 days, plus 3 leftover days. In a week where the Saturday is not a holiday, 6 of its 7 days are working days, only Sunday is off; this holds for 3 of the 4 weeks. In the one week containing the second Saturday, only 5 of its 7 days are working, since both Sunday and that Saturday are off. We can check each option by removing the 3 guaranteed-working leftover days and comparing what remains to this week-block total.

  1. 23: Removing the 3 leftover working days (Wednesday, Thursday, Friday) leaves 20, but the four-week block actually contributes \( 3 \times 6+1 \times 5=23 \) working days, not 20.
  2. 24: Removing the 3 leftover days leaves 21, still short of the block's 23.
  3. 25: Removing the 3 leftover days leaves 22, still short of 23.
  4. 26: Removing the 3 leftover days leaves exactly 23, matching the four-week block total of \( 3 \times 6+1 \times 5=23 \) working days.

The four complete weeks contribute 23 working days, and the 3 leftover weekdays, all working days, add 3 more, giving 26 in total.

Therefore, the correct answer is 26.

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