Question

how many mondays are there in a particular month of a year, if the month ends on wednesday?

Answer 1

If a particular month ends on Wednesday, then there are 4 Mondays in that month of the year if it has 28, 29, or 30 days, OR there are 5 Mondays in that month of the year if it has 31 days.

We have been given that a particular month ends on a Wednesday. This means that the third last day of the month was a Monday. Also, we know that a month can have either 28, 29, 30, or 31 days

• If the month had 28 days, the 26th day was a Monday. In this case, the 19th, 12th, and 5th days would also be a Monday. That means, there would be 4 Mondays in that month
• If the month had 29 days, the 27th day was a Monday. In this case, the 20th, 13th, and 6th days would also be a Monday. That means, there would be 4 Mondays in that month
• If the month had 30 days, the 28th day was a Monday. In this case, the 21st, 14th, and 7th days would also be a Monday. That means, there would be 4 Mondays in that month
• If the month had 31 days, the 29th day was a Monday. In this case, the 22nd, 15th, 8th, and 1st days would also be a Monday. That means, there would be 5 Mondays in that month

Therefore, if the month has 28, 29, or 30 days, then it would have 4 Mondays. If the month has 31 days, then it would have 5 Mondays

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