Question

If a particular month of a particular year ends on a Wednesday, how many Mondays does that month have?

• A. 4
• B. 5
• C. 3
• D. Cannot be specified

Hint:

Check every possible month length before fixing one answer.

Answer 1

The Correct Option is D

Step 1: List the possible month lengths.
A month can have 28 days (February, non-leap year), 29 days (February, leap year), 30 days, or 31 days.

Step 2: Work out the case of 28 days.
28 days split evenly into exactly 4 full weeks, so every weekday, including Monday, occurs exactly 4 times if the month ends on a Wednesday.

Step 3: Work out the case of 31 days.
31 days give 4 full weeks (28 days) plus 3 extra days. If the month ends on Wednesday, those extra 3 days fall on Monday, Tuesday and Wednesday, so those three weekdays occur 5 times, and Monday is one of them.

Step 4: Compare the two cases.
A 28 day month ending on Wednesday gives 4 Mondays, while a 31 day month ending on Wednesday gives 5 Mondays. Since the month length is not given, both counts are possible.

Final Answer:
Without knowing whether the month has 28, 30 or 31 days, the number of Mondays cannot be pinned to a single value. \[ \boxed{\text{Cannot be specified}} \]